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Volumn , Issue , 2005, Pages 1-415

Combinatorial methods in discrete distributions

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EID: 84949750290     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0471733180     Document Type: Book
Times cited : (111)

References (280)
  • 3
    • 84861351785 scopus 로고
    • On the distribution of sum of independent positive binomial variables
    • Ahuja, J. C. (1970b) On the distribution of sum of independent positive binomial variables, Canadian Mathematical Bulletin, 13,151-152.
    • (1970) Canadian Mathematical Bulletin , vol.13 , pp. 151-152
    • Ahuja, J.C.1
  • 4
    • 84990495540 scopus 로고
    • Certain properties of the Stirling distribution of the second kind
    • Ahuja, J. C. (1971a) Certain properties of the Stirling distribution of the second kind, Australian Journal of Statistics, 13,133-136.
    • (1971) Australian Journal of Statistics , vol.13 , pp. 133-136
    • Ahuja, J.C.1
  • 5
    • 84932277835 scopus 로고
    • Distribution of the sum of independent decapitated negative binomial variables
    • Ahuja, J. C. (1971b) Distribution of the sum of independent decapitated negative binomial variables, Annals of Mathematical Statistics, 42, 383-384.
    • (1971) Annals of Mathematical Statistics , vol.42 , pp. 383-384
    • Ahuja, J.C.1
  • 6
    • 84949743761 scopus 로고
    • Convolution of the truncated Poisson distribution
    • Ahuja, J. C. (1972a) Convolution of the truncated Poisson distribution, American Statistician, 26 (5), 46.
    • (1972) American Statistician , vol.26 , Issue.5 , pp. 46
    • Ahuja, J.C.1
  • 7
    • 84948616733 scopus 로고
    • Recurrence relation for minimum variance unbiased estima-tion of certain left-truncated Poisson distributions
    • Ahuja, J. C. (1972b) Recurrence relation for minimum variance unbiased estima-tion of certain left-truncated Poisson distributions, Journal of the Royal Statistical Society, Series C: Applied Statistics, 21, 81-86.
    • (1972) Journal of the Royal Statistical Society, Series C: Applied Statistics , vol.21 , pp. 81-86
    • Ahuja, J.C.1
  • 8
    • 84949494493 scopus 로고
    • Certain properties of the distribution of the sum of independent zero-one-truncated Poisson variables
    • Ahuja, J. C. and Enneking, E. A. (1972a) Certain properties of the distribution of the sum of independent zero-one-truncated Poisson variables, Australian Journal of Statistics, 14, 50-53.
    • (1972) Australian Journal of Statistics , vol.14 , pp. 50-53
    • Ahuja, J.C.1    Enneking, E.A.2
  • 9
    • 84949866049 scopus 로고
    • Recurrence relation for the minimum vari-ance unbiased estimator of a parameter of a left-truncated Poisson distribution
    • Ahuja, J. C. and Enneking, E. A. (1972b) Recurrence relation for the minimum vari-ance unbiased estimator of a parameter of a left-truncated Poisson distribution, Journal of the American Statistical Association, 67, 232-233.
    • (1972) Journal of the American Statistical Association , vol.67 , pp. 232-233
    • Ahuja, J.C.1    Enneking, E.A.2
  • 10
    • 51649177844 scopus 로고
    • Convolution of independent left-truncated negative binomial variables and limiting distributions
    • Ahuja, J. C. and Enneking, E. A. (1974) Convolution of independent left-truncated negative binomial variables and limiting distributions, Annals of the Institute of Statistical Mathematics, 26, 265-270.
    • (1974) Annals of the Institute of Statistical Mathematics , vol.26 , pp. 265-270
    • Ahuja, J.C.1    Enneking, E.A.2
  • 12
    • 47249140596 scopus 로고
    • A probability distribution connected with Stirling's second class numbers
    • Arfwedson, G. (1951) A probability distribution connected with Stirling's second class numbers, Skandinavisk Aktuarietidskrift, 34, 121-132.
    • (1951) Skandinavisk Aktuarietidskrift , vol.34 , pp. 121-132
    • Arfwedson, G.1
  • 13
  • 17
    • 34248204157 scopus 로고
    • Haemacytometer counts and occupancy the-ory
    • Barton, D. E. and David, F. N. (1959b) Haemacytometer counts and occupancy the-ory, Trabajos de Estadística, 10, 13-18.
    • (1959) Trabajos de Estadística , vol.10 , pp. 13-18
    • Barton, D.E.1    David, F.N.2
  • 18
    • 4544271748 scopus 로고
    • Sequential occupancy
    • Barton, D. E. and David, F. N. (1959c) Sequential occupancy, Biometrika, 46, 218-223.
    • (1959) Biometrika , vol.46 , pp. 218-223
    • Barton, D.E.1    David, F.N.2
  • 19
    • 0009906576 scopus 로고
    • A generalization of the Neyman's contagious dis-tributions
    • Beall, G. and Rescia, R. R. (1953) A generalization of the Neyman's contagious dis-tributions, Biometrics, 9, 354-386.
    • (1953) Biometrics , vol.9 , pp. 354-386
    • Beall, G.1    Rescia, R.R.2
  • 20
    • 0004560398 scopus 로고
    • Partition polynomials
    • Bell, E. T. (1927) Partition polynomials, Annals of Mathematics, 29, 38-46.
    • (1927) Annals of Mathematics , vol.29 , pp. 38-46
    • Bell, E.T.1
  • 23
    • 2742604595 scopus 로고
    • Factorial series distributions with applications to capture-recapture problems
    • Berg, S. (1974) Factorial series distributions with applications to capture-recapture problems. Scandinavian Journal of Statistics, 1, 145-152.
    • (1974) Scandinavian Journal of Statistics , vol.1 , pp. 145-152
    • Berg, S.1
  • 24
    • 23144467755 scopus 로고
    • Some properties and applications of a ratio of Stirling numbers of the second kind
    • Berg, S. (1975) Some properties and applications of a ratio of Stirling numbers of the second kind, Scandinavian Journal of Statistics, 2, 91-94.
    • (1975) Scandinavian Journal of Statistics , vol.2 , pp. 91-94
    • Berg, S.1
  • 25
    • 10844225425 scopus 로고
    • A note on the UMVU estimate in a multiple-recapture census
    • Berg, S. (1976) A note on the UMVU estimate in a multiple-recapture census, Scan-dinavian Journal of Statistics, 3, 86-88.
    • (1976) Scan-dinavian Journal of Statistics , vol.3 , pp. 86-88
    • Berg, S.1
  • 26
    • 84982047338 scopus 로고
    • Associated Lah numbers, factorial series distributions and unbiased estimation of a size parameter
    • Berg, S. (1987) Associated Lah numbers, factorial series distributions and unbiased estimation of a size parameter, Biometrical Journal, 29, 163-171.
    • (1987) Biometrical Journal , vol.29 , pp. 163-171
    • Berg, S.1
  • 27
    • 84972544283 scopus 로고
    • Rational approximations of algebraic irrationals by means of a modified Jacobi-Perron algorithm
    • Bernstein, L. (1965) Rational approximations of algebraic irrationals by means of a modified Jacobi-Perron algorithm, Duke Mathematical Journal, 32,161-176.
    • (1965) Duke Mathematical Journal , vol.32 , pp. 161-176
    • Bernstein, L.1
  • 28
    • 84914864784 scopus 로고
    • n class numbers and of other analogous to them
    • as investigated by means of representative notation
    • n class numbers and of other analogous to them, as investigated by means of representative notation, Quarterly Journal of Pure and Applied Mathematics, 8, 85-110.
    • (1867) Quarterly Journal of Pure and Applied Mathematics , vol.8 , pp. 85-110
    • Blissard, J.1
  • 31
    • 0040345487 scopus 로고
    • The r-Stirling numbers
    • Broder, A. Z. (1984) The r-Stirling numbers, Discrete Mathematics, 49, 241-259.
    • (1984) Discrete Mathematics , vol.49 , pp. 241-259
    • Broder, A.Z.1
  • 32
    • 57049115906 scopus 로고
    • A combinatorial derivation of the distribution of the truncated Poisson sufficient statistic
    • Cacoullos, T. (1961) A combinatorial derivation of the distribution of the truncated Poisson sufficient statistic, Annals of Mathematical Statistics, 32, 904-905.
    • (1961) Annals of Mathematical Statistics , vol.32 , pp. 904-905
    • Cacoullos, T.1
  • 33
    • 84949866051 scopus 로고
    • On the convolution of Poisson distributions with the zero class missing
    • Cacoullos, T. (1972) On the convolution of Poisson distributions with the zero class missing, American Statistician, 26 (2), 44.
    • (1972) American Statistician , vol.26 , Issue.2 , pp. 44
    • Cacoullos, T.1
  • 34
    • 51249189504 scopus 로고
    • On minimum variance unbiased es-timation for truncated binomial and negative binomial distributions
    • Cacoullos, T. and Charalambides, Ch. A. (1975) On minimum variance unbiased es-timation for truncated binomial and negative binomial distributions, Annals of the Institute of Statistical Mathematics, 27, 235-244.
    • (1975) Annals of the Institute of Statistical Mathematics , vol.27 , pp. 235-244
    • Cacoullos, T.1    Charalambides, C.A.2
  • 39
    • 84972540544 scopus 로고
    • Note on a paper of L. Bernstein
    • Carlitz, L. (1965) Note on a paper of L. Bernstein, Duke Mathematical Journal, 32, 177-180.
    • (1965) Duke Mathematical Journal , vol.32 , pp. 177-180
    • Carlitz, L.1
  • 40
    • 84972548549 scopus 로고
    • Note on the numbers of Jordan and Ward
    • Carlitz, L. (1971) Note on the numbers of Jordan and Ward, Duke Mathematical Journal, 38,783-790.
    • (1971) Duke Mathematical Journal , vol.38 , pp. 783-790
    • Carlitz, L.1
  • 41
    • 0001856432 scopus 로고
    • Degenerate Stirling, Bernoulli and Eulerian numbers
    • Carlitz, L. (1979) Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Mathematica, 15, 51-88.
    • (1979) Utilitas Mathematica , vol.15 , pp. 51-88
    • Carlitz, L.1
  • 42
    • 0013475484 scopus 로고
    • Weighted Stirling numbers of the first and second kind-I
    • Carlitz, L. (1980a) Weighted Stirling numbers of the first and second kind-I, Fi-bonacci Quarterly, 18, 147-162.
    • (1980) Fi-bonacci Quarterly , vol.18 , pp. 147-162
    • Carlitz, L.1
  • 43
    • 0013475484 scopus 로고
    • Weighted Stirling numbers of the first and second kind-II
    • Carlitz, L. (1980b) Weighted Stirling numbers of the first and second kind-II, Fi-bonacci Quarterly, 18, 242-257.
    • (1980) Fi-bonacci Quarterly , vol.18 , pp. 242-257
    • Carlitz, L.1
  • 44
    • 0001754083 scopus 로고
    • Genetic effects of radiation
    • Ed. M. Demerec, Academic Press, New York
    • Catcheside, D. G. (1948) Genetic effects of radiation, in Advances in Genetics, Vol. 2 (Ed. M. Demerec), pp. 271-358, Academic Press, New York.
    • (1948) Advances in Genetics , vol.2 , pp. 271-358
    • Catcheside, D.G.1
  • 49
    • 84910437196 scopus 로고
    • The generalized Stirling and C-numbers
    • Series A
    • Charalambides, Ch. A. (1974a) The generalized Stirling and C-numbers, Sankhyā, Series A, 36,419-436.
    • (1974) Sankhyā , vol.36 , pp. 419-436
    • Charalambides, C.A.1
  • 50
    • 57049095783 scopus 로고
    • Minimum variance unbiased estimation for a class of left-truncated discrete distributions
    • Charalambides, Ch. A. (1974b) Minimum variance unbiased estimation for a class of left-truncated discrete distributions, Sankhyā, Series A, 36, 397-418.
    • (1974) Sankhyā, Series A , vol.36 , pp. 397-418
    • Charalambides, C.A.1
  • 51
    • 84984377261 scopus 로고
    • The distributions of sufficient statistics of truncated generalized logarithmic series, Poisson and negative binomial distributions
    • Charalambides, Ch. A. (1974c) The distributions of sufficient statistics of truncated generalized logarithmic series, Poisson and negative binomial distributions, Cana-dian Journal of Statistics, 2, 261-275.
    • (1974) Cana-dian Journal of Statistics , vol.2 , pp. 261-275
    • Charalambides, C.A.1
  • 53
    • 0001287406 scopus 로고
    • A new kind of numbers appearing in the n-fold con-volution of truncated binomial and negative binomial distributions
    • Charalambides, Ch. A. (1977a) A new kind of numbers appearing in the n-fold con-volution of truncated binomial and negative binomial distributions, SIAM Journal on Applied Mathematics, 33, 279-288.
    • (1977) SIAM Journal on Applied Mathematics , vol.33 , pp. 279-288
    • Charalambides, C.A.1
  • 54
    • 53249114531 scopus 로고
    • On the generalized discrete distributions and the Bell polynomials
    • Charalambides, Ch. A. (1977b) On the generalized discrete distributions and the Bell polynomials, Sankhyā, Series B, 39, 36-44.
    • (1977) Sankhyā, Series B , vol.39 , pp. 36-44
    • Charalambides, C.A.1
  • 55
    • 0001629958 scopus 로고
    • Some properties and applications of the differences of the generalized factorials
    • Charalambides, Ch. A. (1979) Some properties and applications of the differences of the generalized factorials, SIAM Journal on Applied Mathematics, 36,273-280.
    • (1979) SIAM Journal on Applied Mathematics , vol.36 , pp. 273-280
    • Charalambides, C.A.1
  • 56
    • 84980193372 scopus 로고
    • On a restricted occupancy model and its applications
    • Charalambides, Ch. A. (1981) On a restricted occupancy model and its applications, Biometrical Journal, 23, 601-610.
    • (1981) Biometrical Journal , vol.23 , pp. 601-610
    • Charalambides, C.A.1
  • 57
    • 0020932763 scopus 로고
    • On restricted and pseudo-contagious occupancy dis-tributions
    • Charalambides, Ch. A. (1983) On restricted and pseudo-contagious occupancy dis-tributions, Journal of Applied Probability, 20, 872-876.
    • (1983) Journal of Applied Probability , vol.20 , pp. 872-876
    • Charalambides, C.A.1
  • 58
    • 0039160866 scopus 로고
    • On the weighted Stirling and other related numbers and some combinatorial applications
    • Charalambides, Ch. A. (1984a) On the weighted Stirling and other related numbers and some combinatorial applications, Fibonacci Quarterly, 22,297-309.
    • (1984) Fibonacci Quarterly , vol.22 , pp. 297-309
    • Charalambides, C.A.1
  • 59
    • 0039785461 scopus 로고
    • Probabilities and moments of generalized discrete distributions using finite differences operators
    • Charalambides, Ch. A. (1984b) Probabilities and moments of generalized discrete distributions using finite differences operators, Communications in Statistics-Theory and Methods, 13, 3225-3241.
    • (1984) Communications in Statistics-Theory and Methods , vol.13 , pp. 3225-3241
    • Charalambides, C.A.1
  • 60
    • 26444605091 scopus 로고
    • Derivation of probabilities and moments of certain generalized discrete distributions via urn models
    • Charalambides, Ch. A. (1986a) Derivation of probabilities and moments of certain generalized discrete distributions via urn models, Communications in Statistics-Theory and Methods, 15, 677-696.
    • (1986) Communications in Statistics-Theory and Methods , vol.15 , pp. 677-696
    • Charalambides, C.A.1
  • 64
    • 84949770975 scopus 로고    scopus 로고
    • General occupancy distributions
    • Eds. Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan, Chapman & Hall/CRC, Boca Raton
    • Charalambides, Ch. A. (2001) General occupancy distributions, in Probability and Statistical Models with Applications (Eds. Ch. A. Charalambides, M. V. Koutras and N. Balakrishnan), pp. 253-268, Chapman & Hall/CRC, Boca Raton.
    • (2001) Probability and Statistical Models with Applications , pp. 253-268
    • Charalambides, C.A.1
  • 66
    • 0347379690 scopus 로고    scopus 로고
    • Non-central generalized g-factorial coefficients and g-Stirling numbers
    • Charalambides, Ch. A. (2004) Non-central generalized g-factorial coefficients and g-Stirling numbers, Discrete Mathematics, 275, 67-85.
    • (2004) Discrete Mathematics , vol.275 , pp. 67-85
    • Charalambides, C.A.1
  • 67
    • 26444520754 scopus 로고    scopus 로고
    • Derivation of a joint occupancy distribution via a bivariate inclusion and exclusion formula
    • to appear
    • Charalambides, Ch. A. (2005a) Derivation of a joint occupancy distribution via a bivariate inclusion and exclusion formula, Metrika (to appear).
    • (2005) Metrika
    • Charalambides, C.A.1
  • 68
    • 84949866052 scopus 로고    scopus 로고
    • A unified derivation of the complementary waiting time distribution in sequential occupancy
    • to appear
    • Charalambides, Ch. A. (2005b) A unified derivation of the complementary waiting time distribution in sequential occupancy, Methodology and Computing in Applied Probability (to appear).
    • (2005) Methodology and Computing in Applied Probability
    • Charalambides, C.A.1
  • 69
    • 0007886867 scopus 로고
    • On the differences of the generalized factorials at an arbitrary point and their combinatorial applications
    • Charalambides, Ch. A. and Koutras, M. (1983) On the differences of the generalized factorials at an arbitrary point and their combinatorial applications, Discrete Math-ematics, 47, 183-201.
    • (1983) Discrete Math-ematics , vol.47 , pp. 183-201
    • Charalambides, C.A.1    Koutras, M.2
  • 70
    • 84904259338 scopus 로고
    • A review of the Stirling numbers, their generalizations and statistical applications
    • Charalambides, Ch. A. and Singh, J. (1988) A review of the Stirling numbers, their generalizations and statistical applications, Communications in Statistics-Theory and Methods, 17, 2533-2595.
    • (1988) Communications in Statistics-Theory and Methods , vol.17 , pp. 2533-2595
    • Charalambides, C.A.1    Singh, J.2
  • 72
    • 84864515792 scopus 로고
    • On the probability of the occurrence of at least m events among n arbitrary events
    • Chung, K. L. (1941) On the probability of the occurrence of at least m events among n arbitrary events, Annals of Mathematical Statistics, 12, 328-338.
    • (1941) Annals of Mathematical Statistics , vol.12 , pp. 328-338
    • Chung, K.L.1
  • 73
    • 26444505102 scopus 로고
    • Generalization of Poincaré's formula in the theory of proba-bility
    • Chung, K. L. (1943a) Generalization of Poincaré's formula in the theory of proba-bility, Annals of Mathematical Statistics, 14, 63-65.
    • (1943) Annals of Mathematical Statistics , vol.14 , pp. 63-65
    • Chung, K.L.1
  • 74
    • 84949771147 scopus 로고
    • On fundamental systems of probabilities of a finite number of events
    • Chung, K. L. (1943b) On fundamental systems of probabilities of a finite number of events, Annals of Mathematical Statistics, 14, 123-133.
    • (1943) Annals of Mathematical Statistics , vol.14 , pp. 123-133
    • Chung, K.L.1
  • 75
    • 84949789496 scopus 로고
    • Further results on probabilities of a finite number of events
    • Chung, K. L. (1943c) Further results on probabilities of a finite number of events, Annals of Mathematical Statistics, 14, 234-237.
    • (1943) Annals of Mathematical Statistics , vol.14 , pp. 234-237
    • Chung, K.L.1
  • 76
  • 77
    • 0011494583 scopus 로고
    • Une formule explicite pour les puissances successives de 1' opérateur de derivation de Lie
    • Comtet, L. (1973) Une formule explicite pour les puissances successives de 1' opérateur de derivation de Lie, Comptes Rendus de l ' Académie des Sciences, Paris, 276, 165-168.
    • (1973) Comptes Rendus de l ' Académie des Sciences, Paris , vol.276 , pp. 165-168
    • Comtet, L.1
  • 79
    • 0000779606 scopus 로고
    • On the utilization of marked specimens in estimating populations of flying insects
    • Craig, C. C. (1953)On the utilization of marked specimens in estimating populations of flying insects, Biometrika, 40, 170-176.
    • (1953) Biometrika , vol.40 , pp. 170-176
    • Craig, C.C.1
  • 81
    • 0042630971 scopus 로고    scopus 로고
    • ρ-Distributions and Markov processes
    • Crippa, D. and Simon, K. (1997) ρ-Distributions and Markov processes, Discrete Mathematics, 170, 81-98.
    • (1997) Discrete Mathematics , vol.170 , pp. 81-98
    • Crippa, D.1    Simon, K.2
  • 83
    • 84936654738 scopus 로고
    • On the empty cell test
    • Csorgo, M. and Guttman, I. (1962) On the empty cell test, Technometrics, 4, 235-247.
    • (1962) Technometrics , vol.4 , pp. 235-247
    • Csorgo, M.1    Guttman, I.2
  • 84
    • 0000774305 scopus 로고
    • The multiple-recapture census I. Estimation of a closed popu-lation
    • Darroch, J. N. (1958) The multiple-recapture census I. Estimation of a closed popu-lation, Biometrika, 45, 343-359.
    • (1958) Biometrika , vol.45 , pp. 343-359
    • Darroch, J.N.1
  • 85
    • 0345670545 scopus 로고
    • Two combinatorial tests of whether a sample has come from a given population
    • David, F. N. (1950) Two combinatorial tests of whether a sample has come from a given population, Biometrika, 37, 97-110.
    • (1950) Biometrika , vol.37 , pp. 97-110
    • David, F.N.1
  • 88
    • 2842570986 scopus 로고
    • Some statistical tests for constrained occupancy problems
    • Davies, P. (1983) Some statistical tests for constrained occupancy problems, Biomet-rics, 39,719-725.
    • (1983) Biomet-rics , vol.39 , pp. 719-725
    • Davies, P.1
  • 89
    • 0003921215 scopus 로고
    • Pearson, London (2nd ed. 1738 and 3rd ed. 1756)
    • De Moivre, A. (1718) The Doctrine of Chances, Pearson, London (2nd ed. 1738 and 3rd ed. 1756).
    • (1718) The Doctrine of Chances
    • De Moivre, A.1
  • 90
    • 18844387668 scopus 로고
    • Fitting the Neyman type A (two parameter) contagious distri-bution
    • Douglas, J. B. (1955) Fitting the Neyman type A (two parameter) contagious distri-bution, Biometrics, 11, 149-173.
    • (1955) Biometrics , vol.11 , pp. 149-173
    • Douglas, J.B.1
  • 91
    • 0039785450 scopus 로고
    • Statistical models in discrete distributions
    • Ed. G. P. Patii, Pennsylvania State Uni-versity Press, University Park
    • Douglas, J. B. (1970) Statistical models in discrete distributions, in Random Counts in Scientific Work, Vol. 3 (Ed. G. P. Patii), pp. 203-232, Pennsylvania State Uni-versity Press, University Park.
    • (1970) Random Counts in Scientific Work , vol.3 , pp. 203-232
    • Douglas, J.B.1
  • 92
    • 84949498765 scopus 로고
    • Stirling numbers in discrete distributions
    • Eds. G. P. Patii, E. C. Pielou and W. E. Waters, Pennsylvania State University Press, University Park
    • Douglas, J. B. (1971) Stirling numbers in discrete distributions, in Statistical Ecol-ogy, Vol. 1 (Eds. G. P. Patii, E. C. Pielou and W. E. Waters), pp. 69-98, Pennsylvania State University Press, University Park.
    • (1971) Statistical Ecol-ogy , vol.1 , pp. 69-98
    • Douglas, J.B.1
  • 94
    • 84949497879 scopus 로고
    • On minimum variance unbiased estimation for certain left-truncated discrete distributions
    • Enneking, E. A. and Ahuja, J. C. (1978) On minimum variance unbiased estimation for certain left-truncated discrete distributions, Sankhyā, Series B, 40, 105-110.
    • (1978) Sankhyā, Series B , vol.40 , pp. 105-110
    • Enneking, E.A.1    Ahuja, J.C.2
  • 95
    • 33749402555 scopus 로고
    • Theoremata arithmetica nova methodo demonstrata
    • Opera Omnia 1-2,531-535
    • Euler, L. (1760) Theoremata arithmetica nova methodo demonstrata, Novi Commen-tarti Academiae Petropolitanae, 8,74-104 (Opera Omnia 1-2,531-535.)
    • (1760) Novi Commen-tarti Academiae Petropolitanae , vol.8 , pp. 74-104
    • Euler, L.1
  • 96
    • 0000724858 scopus 로고
    • Experimental evidence concerning contagious distributions in ecology
    • Evans, D. A. (1953) Experimental evidence concerning contagious distributions in ecology. Biometrika, 40,186-211.
    • (1953) Biometrika , vol.40 , pp. 186-211
    • Evans, D.A.1
  • 98
    • 0001666357 scopus 로고
    • Note sur un nouvelle formule de calcul différentiel
    • Faà di Bruno, F. (1855b), Note sur un nouvelle formule de calcul différentiel, Quar-terly Journal of Mathematics, 1, 359-360.
    • (1855) Quar-terly Journal of Mathematics , vol.1 , pp. 359-360
    • Faà di Bruno, F.1
  • 99
  • 100
    • 26444445286 scopus 로고
    • Occupancy problems
    • Eds. S. Kotz, N. L. Johnson and C. B. Read, John Wiley & Sons, New York
    • Fang, K.-T. (1985) Occupancy problems, in Encyclopedia of Statistical Sciences, Vol. 6 (Eds. S. Kotz, N. L. Johnson and C. B. Read), pp. 402-406, John Wiley & Sons, New York.
    • (1985) Encyclopedia of Statistical Sciences , vol.6 , pp. 402-406
    • Fang, K.-T.1
  • 101
    • 0000543853 scopus 로고
    • On a general class of "contagious" distributions
    • Feller, W. (1943) On a general class of "contagious" distributions, Annals of Math-ematical Statistics, 14, 389-400.
    • (1943) Annals of Math-ematical Statistics , vol.14 , pp. 389-400
    • Feller, W.1
  • 107
    • 0000473009 scopus 로고
    • Dynamics of two classes of continuous review inventory systems
    • Galliher, H. P., Morse, P. M. and Simond, M. (1959) Dynamics of two classes of continuous review inventory systems, Operations Research, 7, 362-384.
    • (1959) Operations Research , vol.7 , pp. 362-384
    • Galliher, H.P.1    Morse, P.M.2    Simond, M.3
  • 109
    • 0346467514 scopus 로고
    • Exact moments of the variance test for left-truncated Poisson dis-tributions
    • Gart, J. J. (1974) Exact moments of the variance test for left-truncated Poisson dis-tributions, Sankhyā, Series B, 36, 406-416.
    • (1974) Sankhyā, Series B , vol.36 , pp. 406-416
    • Gart, J.J.1
  • 110
    • 0344138480 scopus 로고
    • The Poisson distribution: The theory and application of some con-ditional tests
    • Eds. G. P. Patil et al, Reidel, Dordrecht, Holland
    • Gart, J. J. (1975) The Poisson distribution: The theory and application of some con-ditional tests, in Statistical Distributions in Scientific Work, Vol. 2 (Eds. G. P. Patil et al.), pp. 125-140, Reidel, Dordrecht, Holland.
    • (1975) Statistical Distributions in Scientific Work , vol.2 , pp. 125-140
    • Gart, J.J.1
  • 111
    • 27644561473 scopus 로고
    • An occupancy problem
    • Gittelsohn, A. M. (1969) An occupancy problem, American Statistician, 23 (2), 11-12.
    • (1969) American Statistician , vol.23 , Issue.2 , pp. 11-12
    • Gittelsohn, A.M.1
  • 114
    • 77951091919 scopus 로고
    • A theorem concerning the Bernstein polynomial
    • Gould, H. W. (1958) A theorem concerning the Bernstein polynomial, Mathematics Magazine, 31, 259-264.
    • (1958) Mathematics Magazine , vol.31 , pp. 259-264
    • Gould, H.W.1
  • 115
    • 84972514732 scopus 로고
    • The g-Stirling numbers of first and second kinds
    • Gould, H. W. (1961) The g-Stirling numbers of first and second kinds, Duke Math-ematical Journal, 28, 281-289.
    • (1961) Duke Math-ematical Journal , vol.28 , pp. 281-289
    • Gould, H.W.1
  • 116
    • 79952137031 scopus 로고
    • The operator (axA)n and Stirling numbers of the first kind
    • Gould, H. W. (1964) The operator (axA)n and Stirling numbers of the first kind, American Mathematical Monthly, 71, 850-858.
    • (1964) American Mathematical Monthly , vol.71 , pp. 850-858
    • Gould, H.W.1
  • 117
    • 0001345835 scopus 로고
    • On the estimation of the number of classes in a population
    • Goodman, L. A. (1949) On the estimation of the number of classes in a population, Annals of Mathematical Statistics, 20, 572-579.
    • (1949) Annals of Mathematical Statistics , vol.20 , pp. 572-579
    • Goodman, L.A.1
  • 118
    • 0040459645 scopus 로고
    • Sequential sampling tagging for population size problems
    • Goodman, L. A. (1953) Sequential sampling tagging for population size problems, Annals of Mathematical Statistics, 24, 56-59.
    • (1953) Annals of Mathematical Statistics , vol.24 , pp. 56-59
    • Goodman, L.A.1
  • 119
    • 84949801267 scopus 로고
    • A note on the convolution of Poisson distributions with the zero class missing
    • Gross, A. J. (1970) A note on the convolution of Poisson distributions with the zero class missing, American Statistician, 24 (5), 42-43.
    • (1970) American Statistician , vol.24 , Issue.5 , pp. 42-43
    • Gross, A.J.1
  • 121
    • 70350006185 scopus 로고
    • n,... wo A eine beliebige constante Gröfse, An eine beliebige und φ(n) eine ganze rationale algebraische Function der posi-tiven ganzen Zahl n bezeichnet
    • n,... wo A eine beliebige constante Gröfse, An eine beliebige und φ(n) eine ganze rationale algebraische Function der posi-tiven ganzen Zahl n bezeichnet, Journal für die reine und angewandte Mathematik, 25, 240-279.
    • (1843) Journal für die reine und angewandte Mathematik , vol.25 , pp. 240-279
    • Grunert, J.A.1
  • 123
    • 84947885381 scopus 로고
    • Distribution of the sum of independent decapitated generalized negative binomial variables
    • Gupta, R. C. (1974a) Distribution of the sum of independent decapitated generalized negative binomial variables, Sankhyā, Series B, 36, 67-69.
    • (1974) Sankhyā, Series B , vol.36 , pp. 67-69
    • Gupta, R.C.1
  • 124
    • 84947883430 scopus 로고
    • Distribution of the sum of independent decapitated generalized Poisson variables
    • Gupta, R. C. (1974b) Distribution of the sum of independent decapitated generalized Poisson variables, Sankhyā, Series B, 36, 212-214.
    • (1974) Sankhyā, Series B , vol.36 , pp. 212-214
    • Gupta, R.C.1
  • 125
    • 0042404214 scopus 로고
    • Modified power series distribution and some of its applications
    • Gupta, R. C. (1974c) Modified power series distribution and some of its applications, Sankhyā, Series B, 36, 288-298.
    • (1974) Sankhyā, Series B , vol.36 , pp. 288-298
    • Gupta, R.C.1
  • 126
    • 84947887340 scopus 로고
    • Minimum variance unbiased estimation in a modified power series distribution and some of its applications
    • Gupta, R. C. (1977) Minimum variance unbiased estimation in a modified power series distribution and some of its applications, Communications in Statistics, A, 6, 977-991.
    • (1977) Communications in Statistics, A , vol.6 , pp. 977-991
    • Gupta, R.C.1
  • 127
    • 84892270150 scopus 로고
    • Estimation of probabilities in the class of modified power series distributions
    • Gupta, R. C. and Singh, J. (1982) Estimation of probabilities in the class of modified power series distributions, Math. Operationsforsch. Statist., Ser. Statistics, 13, 71-77.
    • (1982) Math. Operationsforsch. Statist., Ser. Statistics , vol.13 , pp. 71-77
    • Gupta, R.C.1    Singh, J.2
  • 128
    • 0016102943 scopus 로고
    • A generalized Hermite distribution and its prop-erties
    • Gupta, R. P. and Jain, G. C. (1974) A generalized Hermite distribution and its prop-erties, SIAM Journal of Applied Mathematics, 27, 359-363.
    • (1974) SIAM Journal of Applied Mathematics , vol.27 , pp. 359-363
    • Gupta, R.P.1    Jain, G.C.2
  • 129
    • 0011960461 scopus 로고
    • Some interrelations among compound and generalized distribu-tions
    • Gurland, J. (1957) Some interrelations among compound and generalized distribu-tions, Biometrika, 44, 265-268.
    • (1957) Biometrika , vol.44 , pp. 265-268
    • Gurland, J.1
  • 130
    • 0006304383 scopus 로고
    • A generalized class of contagious distributions
    • Gurland, J. (1958) A generalized class of contagious distributions, Biometrics, 14, 229-249.
    • (1958) Biometrics , vol.14 , pp. 229-249
    • Gurland, J.1
  • 131
    • 84909454053 scopus 로고
    • A method of estimation for some generalized Poisson distrib-utions
    • Ed. G. P. Patil, Statistical Publishing Society, Calcutta; Pergamon Press, Oxford
    • Gurland, J. (1965) A method of estimation for some generalized Poisson distrib-utions, in Classical and Contagious Discrete Distributions (Ed. G. P. Patil) pp. 141-158, Statistical Publishing Society, Calcutta; Pergamon Press, Oxford.
    • (1965) Classical and Contagious Discrete Distributions , pp. 141-158
    • Gurland, J.1
  • 132
    • 0003124908 scopus 로고
    • Über Orthogonalpolynome, die g-Differenzengleichungen genügen
    • Hahn, W. (1949) Über Orthogonalpolynome, die g-Differenzengleichungen genügen, Mathematische Nachrichten, 2, 4-34.
    • (1949) Mathematische Nachrichten , vol.2 , pp. 4-34
    • Hahn, W.1
  • 133
    • 4544292071 scopus 로고
    • The classical occupancy problem revisited
    • Ed. G. P. Patil, Pennsylvania State University Press, University Park
    • Harkness, W. L. (1970) The classical occupancy problem revisited, in Random Counts in Scientific Work, Vol. 3 (Ed. G. P. Patil), pp. 107-126, Pennsylvania State University Press, University Park.
    • (1970) Random Counts in Scientific Work , vol.3 , pp. 107-126
    • Harkness, W.L.1
  • 134
    • 0000276219 scopus 로고
    • Statistical inference in the classical occupancy problem. Unbiased estimation of the number of classes
    • Harris, B. (1968) Statistical inference in the classical occupancy problem. Unbiased estimation of the number of classes, Journal of the American Statistical Association, 63, 837-847.
    • (1968) Journal of the American Statistical Association , vol.63 , pp. 837-847
    • Harris, B.1
  • 136
    • 0002742798 scopus 로고
    • Some properties of the distributions of order k
    • Eds. A. N. Philippou, G. E. Bergum and A. F. Ho-radam, Reidel, Dordrecht, Holland
    • Hirano, K. (1986) Some properties of the distributions of order k, in Fibonacci Num-bers and Their Applications (Eds. A. N. Philippou, G. E. Bergum and A. F. Ho-radam), pp. 43-53, Reidel, Dordrecht, Holland.
    • (1986) Fibonacci Num-bers and Their Applications , pp. 43-53
    • Hirano, K.1
  • 137
    • 0018442360 scopus 로고
    • A unified approach to limit theorems for urn models
    • Hoist, L. (1979) A unified approach to limit theorems for urn models, Journal of Applied Probability, 16, 154-162.
    • (1979) Journal of Applied Probability , vol.16 , pp. 154-162
    • Hoist, L.1
  • 138
    • 84909761286 scopus 로고
    • On matrix occupancy, committee and capture-recapture problems
    • Hoist, L. (1980) On matrix occupancy, committee and capture-recapture problems, Scandinavian Journal of Statistics, 1, 139-146.
    • (1980) Scandinavian Journal of Statistics , vol.1 , pp. 139-146
    • Hoist, L.1
  • 139
    • 0001980737 scopus 로고
    • On birthdays, collectors', occupancy and other classical urn prob-lems
    • Hoist, L. (1986) On birthdays, collectors', occupancy and other classical urn prob-lems, International Statistical Review, 54,15-27.
    • (1986) International Statistical Review , vol.54 , pp. 15-27
    • Hoist, L.1
  • 140
    • 33747409532 scopus 로고
    • Rates of Poisson convergence for some coverage and urn problems using coupling
    • Hoist, L. (1988) Rates of Poisson convergence for some coverage and urn problems using coupling, Journal of Applied Probability, 25,717-724.
    • (1988) Journal of Applied Probability , vol.25 , pp. 717-724
    • Hoist, L.1
  • 141
  • 142
  • 143
    • 0018131916 scopus 로고
    • Distribution of the sum of independent zero-truncated linear function Poisson random variables
    • Janardan, K. G. (1978) Distribution of the sum of independent zero-truncated linear function Poisson random variables, Biometrical Journal, 20, 115-117.
    • (1978) Biometrical Journal , vol.20 , pp. 115-117
    • Janardan, K.G.1
  • 144
    • 78650479886 scopus 로고
    • Minimum variance unbiased estimation for some left-truncated modified power series distributions
    • Jani, P. N. (1977) Minimum variance unbiased estimation for some left-truncated modified power series distributions, Sankhyā, Series B, 39, 258-278.
    • (1977) Sankhyā, Series B , vol.39 , pp. 258-278
    • Jani, P.N.1
  • 145
    • 84892355968 scopus 로고
    • New numbers appearing in minimum variance unbiased estimation for decapitated generalized, negative binomial and Poisson distributions
    • Jani, P. N. (1978) New numbers appearing in minimum variance unbiased estimation for decapitated generalized, negative binomial and Poisson distributions, Journal of the Indian Statistical Association, 16, 41-48.
    • (1978) Journal of the Indian Statistical Association , vol.16 , pp. 41-48
    • Jani, P.N.1
  • 147
    • 0020813301 scopus 로고
    • Limit theorems for some sequential occupancy problems
    • Janson, S. (1983) Limit theorems for some sequential occupancy problems, Journal of Applied Probability, 20, 545-553.
    • (1983) Journal of Applied Probability , vol.20 , pp. 545-553
    • Janson, S.1
  • 149
    • 34248216966 scopus 로고
    • Developments in discrete distributions, 1969-1980
    • Johnson, N. L. and Kotz, S. (1982) Developments in discrete distributions, 1969-1980, International Statistical Review, 50, 71-101.
    • (1982) International Statistical Review , vol.50 , pp. 71-101
    • Johnson, N.L.1    Kotz, S.2
  • 151
    • 34248990325 scopus 로고
    • How many of a group of random numbers will be usable in selecting a particular sample?
    • Jones, H. L. (1959) How many of a group of random numbers will be usable in selecting a particular sample? Journal of the American Statistical Association, 54, 102-122.
    • (1959) Journal of the American Statistical Association , vol.54 , pp. 102-122
    • Jones, H.L.1
  • 153
    • 77950021770 scopus 로고
    • Sur la probabilité des épreuves répétées, le théorème de Bernoulli et son inversion
    • Jordan, Ch. (1926) Sur la probabilité des épreuves répétées, le théorème de Bernoulli et son inversion, Bulletin de la Société Mathématique de France, 54, 101-137.
    • (1926) Bulletin de la Société Mathématique de France , vol.54 , pp. 101-137
    • Jordan, C.1
  • 154
    • 84949528293 scopus 로고
    • Sur un cas généralisé de la probabilité des épreuves répétées
    • Jordan, Ch. (1927a) Sur un cas généralisé de la probabilité des épreuves répétées, Comptes Rendus de V Académie des Sciences, Paris, 184, 315-317.
    • (1927) Comptes Rendus de V Académie des Sciences, Paris , vol.184 , pp. 315-317
    • Jordan, C.1
  • 155
    • 84913066074 scopus 로고
    • Sur un cas généralisé de la probabilité des épreuves répétées
    • Jordan, Ch. (1927b) Sur un cas généralisé de la probabilité des épreuves répétées, Acta Scientiarum Mathematicarum, Szeged, 3,193-210.
    • (1927) Acta Scientiarum Mathematicarum, Szeged , vol.3 , pp. 193-210
    • Jordan, C.1
  • 157
    • 84864497935 scopus 로고
    • Le thèorém de probabilité de Poincaré généralisé au cas de plusiers variables indépendantes
    • Szeged
    • Jordan, Ch. (1934) Le thèorém de probabilité de Poincaré généralisé au cas de plusiers variables indépendantes, Acta Scientiarum Mathematicarum, Szeged, 7, 103-111.
    • (1934) Acta Scientiarum Mathematicarum , vol.7 , pp. 103-111
    • Jordan, C.1
  • 158
    • 0004253247 scopus 로고
    • Rotting and Romwalter, Sorron, Hungary. (Reprinted by Chelsea, New York, 1947,1960,1965.)
    • Jordan, Ch. (1939a) Calculus of Finite Differences, Rotting and Romwalter, Sorron, Hungary. (Reprinted by Chelsea, New York, 1947,1960,1965.)
    • (1939) Calculus of Finite Differences
    • Jordan, C.1
  • 159
    • 62949189044 scopus 로고
    • Problèmes de la probabilité des épreuves répétées dans le cas général
    • Jordan, Ch. (1939b) Problèmes de la probabilité des épreuves répétées dans le cas général, Bulletin de la Société Mathématique de France, 67, 223-242.
    • (1939) Bulletin de la Société Mathématique de France , vol.67 , pp. 223-242
    • Jordan, C.1
  • 160
    • 0038842429 scopus 로고
    • Minimum variance unbiased estimation for trun-cated power series distribution
    • Joshi, S. W. and Park, C. J. (1974) Minimum variance unbiased estimation for trun-cated power series distribution, Sankhyā, Series A, 36, 305-314.
    • (1974) Sankhyā, Series A , vol.36 , pp. 305-314
    • Joshi, S.W.1    Park, C.J.2
  • 163
    • 0012002110 scopus 로고
    • The Poisson Pascal distribution
    • Katti, S. K. and Gurland, J. (1961) The Poisson Pascal distribution, Biometrics, 17, 527-538.
    • (1961) Biometrics , vol.17 , pp. 527-538
    • Katti, S.K.1    Gurland, J.2
  • 164
    • 0013037268 scopus 로고
    • Some methods of estimation for the Poisson bi-nomial distribution
    • Katti, S. K. and Gurland, J. (1962) Some methods of estimation for the Poisson bi-nomial distribution, Biometrics, 18,42-51.
    • (1962) Biometrics , vol.18 , pp. 42-51
    • Katti, S.K.1    Gurland, J.2
  • 165
    • 0007984584 scopus 로고
    • Convolutions involving binomial pseudo variables
    • Kemp, A. W. (1979) Convolutions involving binomial pseudo variables, Sankhyā, Series A, 41,232-243.
    • (1979) Sankhyā, Series A , vol.41 , pp. 232-243
    • Kemp, A.W.1
  • 166
    • 0039193141 scopus 로고
    • An alternative derivation of the Hermite dis-tribution
    • Kemp, A. W. and Kemp, C. D. (1966) An alternative derivation of the Hermite dis-tribution, Biometrika, 53, 627-628.
    • (1966) Biometrika , vol.53 , pp. 627-628
    • Kemp, A.W.1    Kemp, C.D.2
  • 168
    • 0013835129 scopus 로고
    • Some properties of the Hermite distribution
    • Kemp, C. D. and Kemp, A. W. (1965) Some properties of the Hermite distribution, Biometrika, 52, 381-394.
    • (1965) Biometrika , vol.52 , pp. 381-394
    • Kemp, C.D.1    Kemp, A.W.2
  • 169
    • 0002024698 scopus 로고
    • On some modes of population growth leading to R. A. Fisher's logarithmic series distribution
    • Kendall, D. G. (1948) On some modes of population growth leading to R. A. Fisher's logarithmic series distribution, Biometrika, 35, 6-15.
    • (1948) Biometrika , vol.35 , pp. 6-15
    • Kendall, D.G.1
  • 170
    • 51849175960 scopus 로고
    • On the distributions obtained by varying the number of trials in a binomial distribution
    • Khatri, C. G. (1962) On the distributions obtained by varying the number of trials in a binomial distribution, Annals of the Institute of Statistical Mathematics, 13, 47-51.
    • (1962) Annals of the Institute of Statistical Mathematics , vol.13 , pp. 47-51
    • Khatri, C.G.1
  • 171
    • 0009906582 scopus 로고
    • Three classes of univariate discrete distribu-tions
    • Khatri, C. G. and Patel, I. R. (1961) Three classes of univariate discrete distribu-tions, Biometrics, 17,567-575.
    • (1961) Biometrics , vol.17 , pp. 567-575
    • Khatri, C.G.1    Patel, I.R.2
  • 174
    • 0002792933 scopus 로고
    • Non-central Stirling numbers and some applications
    • Koutras, M. (1982) Non-central Stirling numbers and some applications, Discrete Mathematics, 42, 73-89.
    • (1982) Discrete Mathematics , vol.42 , pp. 73-89
    • Koutras, M.1
  • 175
    • 34248231737 scopus 로고
    • On certain distributions derived from the multinomial distribu-tion
    • Kullback, S. (1937) On certain distributions derived from the multinomial distribu-tion, Annals of Mathematical Statistics, 8,128-144.
    • (1937) Annals of Mathematical Statistics , vol.8 , pp. 128-144
    • Kullback, S.1
  • 176
    • 84948504739 scopus 로고
    • A note on minimum variance unbiased estimators of power series distributions
    • Kumar, A. (1980) A note on minimum variance unbiased estimators of power series distributions, Communications in Statistics-Theory and Methods, 9, 549-556.
    • (1980) Communications in Statistics-Theory and Methods , vol.9 , pp. 549-556
    • Kumar, A.1
  • 177
    • 0346171429 scopus 로고
    • Minimum variance unbiased estimation for modified power series distribution
    • Kumar, A. and Consul, P. C. (1980) Minimum variance unbiased estimation for modified power series distribution, Communications in Statistics-Theory and Meth-ods, 9, 1261-1275.
    • (1980) Communications in Statistics-Theory and Meth-ods , vol.9 , pp. 1261-1275
    • Kumar, A.1    Consul, P.C.2
  • 178
    • 0005634630 scopus 로고
    • Nouvelle méthode pour résoudre les equations littérales par le moyen de series
    • Lagrange, L. (1770) Nouvelle méthode pour résoudre les equations littérales par le moyen de series, Mem. Acad. Roy. Sci. Belles-Lettres de Berlin, 24.
    • (1770) Mem. Acad. Roy. Sci. Belles-Lettres de Berlin , pp. 24
    • Lagrange, L.1
  • 179
    • 0007105224 scopus 로고
    • Eine neue Art von Zahlen, ihre Eigenschaften und Anwendung in der mathematischen Statistik
    • Lah, I. (1955) Eine neue Art von Zahlen, ihre Eigenschaften und Anwendung in der mathematischen Statistik, Mitteilungsbl. Math. Statist., 7, 203-212.
    • (1955) Mitteilungsbl. Math. Statist. , vol.7 , pp. 203-212
    • Lah, I.1
  • 181
    • 0041053589 scopus 로고
    • An urn model for multi-sample cap-ture/recapture sequential tagging process
    • Leite, J. G. and Pereira, C. A. de B. (1987) An urn model for multi-sample cap-ture/recapture sequential tagging process, Sequential Analysis, 6,179-186.
    • (1987) Sequential Analysis , vol.6 , pp. 179-186
    • Leite, J.G.1    Pereira, C.A.2    De, B.3
  • 184
    • 25344441281 scopus 로고
    • Die Statistik der seltenen Ereignisse
    • Lùders, R. (1934) Die Statistik der seltenen Ereignisse, Biometrika, 26,108-128.
    • (1934) Biometrika , vol.26 , pp. 108-128
    • Lùders, R.1
  • 185
    • 0004205061 scopus 로고
    • Cambridge University Press, London. (Reprinted by Chelsea, New York, 1960.)
    • MacMahon, P. A. (1915) Combinatory Analysis, Vol. 1, Cambridge University Press, London. (Reprinted by Chelsea, New York, 1960.)
    • (1915) Combinatory Analysis , vol.1
    • MacMahon, P.A.1
  • 186
    • 0004205061 scopus 로고
    • Cambridge University Press, London. (Reprinted by Chelsea, New York, 1960.)
    • MacMahon, P. A. (1916) Combinatory Analysis, Vol. 2, Cambridge University Press, London. (Reprinted by Chelsea, New York, 1960.)
    • (1916) Combinatory Analysis , vol.2
    • MacMahon, P.A.1
  • 187
    • 84861363302 scopus 로고
    • Distribution of the sum of truncated binomial variâtes
    • Malik, H. J. (1969) Distribution of the sum of truncated binomial variâtes, Canadian Mathematical Bulletin, 12, 334-336.
    • (1969) Canadian Mathematical Bulletin , vol.12 , pp. 334-336
    • Malik, H.J.1
  • 188
    • 0016161236 scopus 로고
    • Approaches to a health research occupancy problem
    • Mantel, N. (1974) Approaches to a health research occupancy problem, Biometrics, 30, 355-362.
    • (1974) Biometrics , vol.30 , pp. 355-362
    • Mantel, N.1
  • 189
  • 190
    • 84929736728 scopus 로고
    • Missing die probabilities, expected die production and the index figure
    • McGovern, W. E. (1980) Missing die probabilities, expected die production and the index figure, The American Numismatic Society Museum Notes, 25, 209-223.
    • (1980) The American Numismatic Society Museum Notes , vol.25 , pp. 209-223
    • McGovern, W.E.1
  • 191
    • 0001913075 scopus 로고
    • The distribution of Euro-pean corn borer Pyrausta Nubilalis (Hbn.) in field corn
    • Errata and extensions, Biometrics 14 (1958), 432-434
    • McGuire, J. U., Brindley, T. A. and Bancroft, T. A. (1957) The distribution of Euro-pean corn borer Pyrausta Nubilalis (Hbn.) in field corn, Biometrics, 13, 65-78; Errata and extensions, Biometrics 14 (1958), 432-434.
    • (1957) Biometrics , vol.13 , pp. 65-78
    • McGuire, J.U.1    Brindley, T.A.2    Bancroft, T.A.3
  • 193
    • 34250435278 scopus 로고
    • On a generalised Stirling distribution
    • Medhi, J. (1973) On a generalised Stirling distribution, Metrika, 20, 215-218.
    • (1973) Metrika , vol.20 , pp. 215-218
    • Medhi, J.1
  • 194
    • 77955124079 scopus 로고
    • On the convolutions of left-truncated generalised negative binomial and Poisson variables
    • Medhi, J. (1975) On the convolutions of left-truncated generalised negative binomial and Poisson variables, Sankhyā, Series B, 37, 293-299.
    • (1975) Sankhyā, Series B , vol.37 , pp. 293-299
    • Medhi, J.1
  • 195
    • 0009943206 scopus 로고
    • On generalized Gegenbauer polynomials and asso-ciated probabilities
    • Medhi, J. and Borah, M. (1984) On generalized Gegenbauer polynomials and asso-ciated probabilities, Sankhyā, Series B, 46, 157-165.
    • (1984) Sankhyā, Series B , vol.46 , pp. 157-165
    • Medhi, J.1    Borah, M.2
  • 196
    • 0014300636 scopus 로고
    • Cannibalism of the pupal stage by adult flour beetles: An experiment and a stochastic model
    • Mertz, D. B. and Davies, R. B. (1968) Cannibalism of the pupal stage by adult flour beetles: An experiment and a stochastic model, Biometrics, 24, 247-275.
    • (1968) Biometrics , vol.24 , pp. 247-275
    • Mertz, D.B.1    Davies, R.B.2
  • 200
    • 25444443645 scopus 로고
    • On the collector's sequential sample size
    • Nath, H. B. (1974) On the collector's sequential sample size, Trabajos de Estatistica, 25, 85-88.
    • (1974) Trabajos de Estatistica , vol.25 , pp. 85-88
    • Nath, H.B.1
  • 201
    • 0002023194 scopus 로고
    • 2nd ed., Teubner, Berlin. (Reprinted by Chelsea, New York, 1958.)
    • Netto, E. (1927) Lehrbuch der Kombinatorik, 2nd ed., Teubner, Berlin. (Reprinted by Chelsea, New York, 1958.)
    • (1927) Lehrbuch der Kombinatorik
    • Netto, E.1
  • 202
    • 0002960942 scopus 로고
    • On a new class of "contagious" distributions, applicable in ento-mology and bacteriology
    • Neyman, J. (1939) On a new class of "contagious" distributions, applicable in ento-mology and bacteriology, Annals of Mathematical Statistics, 10, 35-57.
    • (1939) Annals of Mathematical Statistics , vol.10 , pp. 35-57
    • Neyman, J.1
  • 206
    • 0242452189 scopus 로고
    • A class of random variables with discrete distributions
    • Noack, A. (1950) A class of random variables with discrete distributions, Annals of Mathematical Statistics, 21, 127-132.
    • (1950) Annals of Mathematical Statistics , vol.21 , pp. 127-132
    • Noack, A.1
  • 209
    • 84931894431 scopus 로고
    • The power series distribution with unknown truncation parameter
    • Park, C. J. (1973) The power series distribution with unknown truncation parameter, Annals of Statistics, 1, 395-399.
    • (1973) Annals of Statistics , vol.1 , pp. 395-399
    • Park, C.J.1
  • 210
    • 34548069258 scopus 로고
    • On minimum variance unbiased estimation of gen-eralized Poisson distribution and decapitated generalized Poisson distribution
    • Patel, S. R. and Jani, P. N. (1977) On minimum variance unbiased estimation of gen-eralized Poisson distribution and decapitated generalized Poisson distribution, Jour-nal of the Indian Statistical Association, 15, 157-159.
    • (1977) Jour-nal of the Indian Statistical Association , vol.15 , pp. 157-159
    • Patel, S.R.1    Jani, P.N.2
  • 211
    • 0017049782 scopus 로고
    • Even point estimation and moment estimation in Hermite distri-bution
    • Patel, Y. C. (1976) Even point estimation and moment estimation in Hermite distri-bution, Biometrics, 32, 865-873.
    • (1976) Biometrics , vol.32 , pp. 865-873
    • Patel, Y.C.1
  • 212
    • 51649169054 scopus 로고
    • Higher moments of moment estimators and even point estimators for the parameters of the Hermite distribution
    • Patel, Y. C. (1977) Higher moments of moment estimators and even point estimators for the parameters of the Hermite distribution, Annals of the Institute of Statistical Mathematics, 29, 119-130.
    • (1977) Annals of the Institute of Statistical Mathematics , vol.29 , pp. 119-130
    • Patel, Y.C.1
  • 213
    • 0242689049 scopus 로고
    • Maximum likelihood esti-mation for the parameters of the Hermite distribution
    • Patel, Y. C, Shenton, L. R. and Bowman, K. O. (1974) Maximum likelihood esti-mation for the parameters of the Hermite distribution, Sankhyā, Series B, 36,154-162.
    • (1974) Sankhyā, Series B , vol.36 , pp. 154-162
    • Patel, Y.C.1    Shenton, L.R.2    Bowman, K.O.3
  • 214
    • 23144432760 scopus 로고
    • On estimating the size of a population and its inverse by capture mark method
    • Pathak, P. K. (1964) On estimating the size of a population and its inverse by capture mark method, Sankhyā, Series A, 26, 75-80.
    • (1964) Sankhyā, Series A , vol.26 , pp. 75-80
    • Pathak, P.K.1
  • 215
    • 34548085813 scopus 로고
    • Minimum variance unbiased estimation and certain problems of additive number theory
    • Patil, G. P. (1963) Minimum variance unbiased estimation and certain problems of additive number theory, Annals of Mathematical Statistics, 34, 1050-1056.
    • (1963) Annals of Mathematical Statistics , vol.34 , pp. 1050-1056
    • Patil, G.P.1
  • 216
    • 0039785453 scopus 로고
    • On certain compound Poisson and compound binomial distribu-tions
    • Patil, G. P. (1964) On certain compound Poisson and compound binomial distribu-tions, Sankhyā, Series A, 26, 293-294.
    • (1964) Sankhyā, Series A , vol.26 , pp. 293-294
    • Patil, G.P.1
  • 217
    • 34248185033 scopus 로고
    • On minimum variance unbiased estimation for the logarithmic series distribution
    • Patil, G. P. and Bildikar, S. (1966) On minimum variance unbiased estimation for the logarithmic series distribution, Sankhyā, Series A, 28, 239-250.
    • (1966) Sankhyā, Series A , vol.28 , pp. 239-250
    • Patil, G.P.1    Bildikar, S.2
  • 218
    • 84949482893 scopus 로고
    • Further results on minimum variance unbiased estimation and additive number theory
    • Patil, G. P. and Joshi, S. W. (1970) Further results on minimum variance unbiased estimation and additive number theory, Annals of Mathematical Statistics, 41,567-575.
    • (1970) Annals of Mathematical Statistics , vol.41 , pp. 567-575
    • Patil, G.P.1    Joshi, S.W.2
  • 219
    • 0347860138 scopus 로고
    • On certain structural properties of the logarithmic series distribution and the first type Stirling distribution
    • Patil, G. P. and Wani, J. K. (1965) On certain structural properties of the logarithmic series distribution and the first type Stirling distribution, Sankhyā, Series A, 27, 271-280.
    • (1965) Sankhyā, Series A , vol.27 , pp. 271-280
    • Patil, G.P.1    Wani, J.K.2
  • 220
    • 0043039141 scopus 로고
    • Distributions and Fibonacci polynomials of order k, longest runs, and reliability of consecutive-fc-out-of-n: F systems
    • Eds. A. N. Philippou, G. E. Bergum and A. F. Horadam, Reidel, Dordrecht, Holland
    • Philippou, A. N. (1986) Distributions and Fibonacci polynomials of order k, longest runs, and reliability of consecutive-fc-out-of-n: F systems, in Fibonacci Numbers and Their Applications (Eds. A. N. Philippou, G. E. Bergum and A. F. Horadam), pp. 203-227, Reidel, Dordrecht, Holland.
    • (1986) Fibonacci Numbers and Their Applications , pp. 203-227
    • Philippou, A.N.1
  • 221
    • 0040443770 scopus 로고
    • Waiting for the k-th consecutive success and the Fibonacci sequence of order k
    • Philippou, A. N. and Muwafi, A. A. (1982) Waiting for the k-th consecutive success and the Fibonacci sequence of order k, Fibonacci Quarterly, 20, 28-32.
    • (1982) Fibonacci Quarterly , vol.20 , pp. 28-32
    • Philippou, A.N.1    Muwafi, A.A.2
  • 223
    • 0343494088 scopus 로고
    • On the numbers of a combinatorial structure (in Russian)
    • Platonov, M. L. (1964) On the numbers of a combinatorial structure (in Russian), Sibirskii Matematicheskii Zhurnal, 5, 1317-1325.
    • (1964) Sibirskii Matematicheskii Zhurnal , vol.5 , pp. 1317-1325
    • Platonov, M.L.1
  • 224
    • 77952550120 scopus 로고
    • Elementary applications of combinatorial numbers in prob-ability theory
    • Platonov, M. L. (1976) Elementary applications of combinatorial numbers in prob-ability theory, Theory of Probability and Mathematical Statistics, 11, 129-137.
    • (1976) Theory of Probability and Mathematical Statistics , vol.11 , pp. 129-137
    • Platonov, M.L.1
  • 225
    • 0016744682 scopus 로고
    • Three generalized negative binomial distribu-tions
    • Plunkett, I. G. and Jain, G. C. (1975) Three generalized negative binomial distribu-tions, Biometrische Zeitschrift, 17, 279-302.
    • (1975) Biometrische Zeitschrift , vol.17 , pp. 279-302
    • Plunkett, I.G.1    Jain, G.C.2
  • 228
    • 0001453215 scopus 로고
    • Sur quelques points de la théorie des probabilités
    • Pólya, G. (1930) Sur quelques points de la théorie des probabilités, Annales de V Institut H. Poincaré, 1, 117-161.
    • (1930) Annales de V Institut H. Poincaré , vol.1 , pp. 117-161
    • Pólya, G.1
  • 229
    • 34248136416 scopus 로고
    • Distributions derived from the multinomial expansion
    • Price, G. B. (1946) Distributions derived from the multinomial expansion, American Mathematical Monthly, 53, 59-74.
    • (1946) American Mathematical Monthly , vol.53 , pp. 59-74
    • Price, G.B.1
  • 230
    • 0007597093 scopus 로고
    • A relation between the logarithmic, Poisson, and negative binomial series
    • Quenouille, M. H. (1949) A relation between the logarithmic, Poisson, and negative binomial series, Biometrics, 5, 162-164.
    • (1949) Biometrics , vol.5 , pp. 162-164
    • Quenouille, M.H.1
  • 232
    • 0001537723 scopus 로고
    • Some small sample tests of significance for a Poisson distribution
    • Rao, C. R. and Chakravarti, I. M. (1956) Some small sample tests of significance for a Poisson distribution, Biometrics, 12, 264-282.
    • (1956) Biometrics , vol.12 , pp. 264-282
    • Rao, C.R.1    Chakravarti, I.M.2
  • 234
    • 0002439974 scopus 로고
    • Theorie des elements sailants d' une suite d' observations
    • Aarchus University, Aarchus, Denmark
    • Renyi, A. (1962) Theorie des elements sailants d' une suite d' observations, in Col-logium on Combinatorial Methods in Probability Theory, pp. 104-115, Aarchus University, Aarchus, Denmark.
    • (1962) Col-logium on Combinatorial Methods in Probability Theory , pp. 104-115
    • Renyi, A.1
  • 235
    • 84908748609 scopus 로고
    • A generating function (Problem 67-18)
    • Richards, P. I. (1968) A generating function (Problem 67-18), SIAM Review, 10, 455-456.
    • (1968) SIAM Review , vol.10 , pp. 455-456
    • Richards, P.I.1
  • 236
    • 0001400779 scopus 로고
    • Moment recurrence relations for binomial, Poisson and hyperge-ometric frequency distributions
    • Riordan, J. (1937) Moment recurrence relations for binomial, Poisson and hyperge-ometric frequency distributions, Annals of Mathematical Statistics, 8, 103-111.
    • (1937) Annals of Mathematical Statistics , vol.8 , pp. 103-111
    • Riordan, J.1
  • 240
    • 34548061087 scopus 로고
    • Unbiased minimum variance estimation in a class of discrete distributions
    • Roy, J. and Mitra, S. K. (1957) Unbiased minimum variance estimation in a class of discrete distributions, Sankhyā, Series A, 18, 371-378.
    • (1957) Sankhyā, Series A , vol.18 , pp. 371-378
    • Roy, J.1    Mitra, S.K.2
  • 242
    • 84915634615 scopus 로고
    • Ergänzung der abhandlung über die entwickelung des products
    • Schläfli, L. (1867) Ergänzung der abhandlung über die entwickelung des products, Journal für die reine und angewandte Mathematik, 67, 179-182.
    • (1867) Journal für die reine und angewandte Mathematik , vol.67 , pp. 179-182
    • Schläfli, L.1
  • 245
    • 0033565085 scopus 로고    scopus 로고
    • Convolution of geometries and a reliability problem
    • Sen, A. and Balakrishnan, N. (1999) Convolution of geometries and a reliability problem, Statistics & Probability Letters, 43,421-426.
    • (1999) Statistics & Probability Letters , vol.43 , pp. 421-426
    • Sen, A.1    Balakrishnan, N.2
  • 248
    • 0009935174 scopus 로고
    • A fitting procedure for some generalized Pois-son distributions
    • Shumway, R. and Gurland, J. (1960a) A fitting procedure for some generalized Pois-son distributions, Skandinavisk Aktuarietidskrift, 43, 87-108.
    • (1960) Skandinavisk Aktuarietidskrift , vol.43 , pp. 87-108
    • Shumway, R.1    Gurland, J.2
  • 249
    • 0012997502 scopus 로고
    • Fitting the Poisson binomial distribution
    • Shumway, R. and Gurland, J. (1960b) Fitting the Poisson binomial distribution, Bio-metrics, 16, 522-533.
    • (1960) Bio-metrics , vol.16 , pp. 522-533
    • Shumway, R.1    Gurland, J.2
  • 250
    • 28844479232 scopus 로고
    • A note on the Stirling distribution of the second kind
    • Singh, J. (1975) A note on the Stirling distribution of the second kind, Communica-tions in Statistics, 4,753-759.
    • (1975) Communica-tions in Statistics , vol.4 , pp. 753-759
    • Singh, J.1
  • 251
    • 28244471862 scopus 로고
    • A characterization of positive Poisson distribution and its statistical application
    • Singh, J. (1978) A characterization of positive Poisson distribution and its statistical application, SIAM Journal on Applied Mathematics, 34, 545-548.
    • (1978) SIAM Journal on Applied Mathematics , vol.34 , pp. 545-548
    • Singh, J.1
  • 252
    • 84982024645 scopus 로고
    • Studies in statistical ecology I. Spatial pattern
    • Skellam, J. G. (1952) Studies in statistical ecology I. Spatial pattern, Biometrika, 39, 346-362.
    • (1952) Biometrika , vol.39 , pp. 346-362
    • Skellam, J.G.1
  • 253
    • 27644553178 scopus 로고
    • A note on a class of occupancy problems
    • Sprott, D. A. (1969) A note on a class of occupancy problems, American Statistician, 23(2), 12-13.
    • (1969) American Statistician , vol.23 , Issue.2 , pp. 12-13
    • Sprott, D.A.1
  • 254
    • 0004031454 scopus 로고
    • Williams and Wilkins, Baltimore. (Reprinted by Chelsea, New York, 1950.)
    • Steffensen, J. F. (1927) Interpolation, Williams and Wilkins, Baltimore. (Reprinted by Chelsea, New York, 1950.)
    • (1927) Interpolation
    • Steffensen, J.F.1
  • 255
    • 84949745118 scopus 로고
    • Significance of grouping
    • Stevens, W. L. (1937) Significance of grouping, Annals of Eugenics, 9, 117-129.
    • (1937) Annals of Eugenics , vol.9 , pp. 117-129
    • Stevens, W.L.1
  • 256
    • 84949866060 scopus 로고
    • Methodus Dijferentialis sine Tractatus de Summatione et Interpo-lation Serierum lnfinitarum
    • Londini (English translation by F. Holliday with title, London, 1749
    • Stirling, J. (1730) Methodus Dijferentialis sine Tractatus de Summatione et Interpo-lation Serierum lnfinitarum, Londini (English translation by F. Holliday with title: The Differential Method, London, 1749.)
    • (1730) The Differential Method
    • Stirling, J.1
  • 257
    • 84944412386 scopus 로고
    • A note on independence and conditional probabilities
    • Strait, P. T. (1971) A note on independence and conditional probabilities, American Statistician, 25 (2), 17-18.
    • (1971) American Statistician , vol.25 , Issue.2 , pp. 17-18
    • Strait, P.T.1
  • 258
    • 84888600081 scopus 로고
    • Note sur le théorèm de Legendre cité dans une Note insérée dans les Comptes Rendus
    • Sylvester, J. (1883) Note sur le théorèm de Legendre cité dans une Note insérée dans les Comptes Rendus, Comptes Rendus de V Académie des Sciences, Paris, 96, 463-465.
    • (1883) Comptes Rendus de V Académie des Sciences, Paris , vol.96 , pp. 463-465
    • Sylvester, J.1
  • 259
    • 0038898454 scopus 로고
    • On a stochastic model concerning the pattern of communication-diffusion of news in a social group
    • Taga, Y. and Isii, K. (1959) On a stochastic model concerning the pattern of communication-diffusion of news in a social group, Annals of the Institute of Sta-tistical Mathematics, 11, 25-43.
    • (1959) Annals of the Institute of Sta-tistical Mathematics , vol.11 , pp. 25-43
    • Taga, Y.1    Isii, K.2
  • 260
    • 0007308995 scopus 로고
    • A generalization of the ballot problem and its application in the theory of queues
    • Takâcs, L. (1962) A generalization of the ballot problem and its application in the theory of queues, Journal of the American Statistical Association, 57, 327-337.
    • (1962) Journal of the American Statistical Association , vol.57 , pp. 327-337
    • Takâcs, L.1
  • 262
  • 263
    • 0006560071 scopus 로고
    • Minimum variance unbiased estimation for the truncated Poisson distribution
    • Tate, R. F. and Goen, R. L. (1958) Minimum variance unbiased estimation for the truncated Poisson distribution, Annals of Mathematical Statistics 29, 755-765.
    • (1958) Annals of Mathematical Statistics , vol.29 , pp. 755-765
    • Tate, R.F.1    Goen, R.L.2
  • 264
  • 266
    • 0001840150 scopus 로고
    • A generalization of Poisson's binomial limit for use in ecology
    • Thomas, M. (1949) A generalization of Poisson's binomial limit for use in ecology, Biometrika, 36, 18-25.
    • (1949) Biometrika , vol.36 , pp. 18-25
    • Thomas, M.1
  • 267
    • 15844404839 scopus 로고
    • A note on contagious distributions
    • Thompson, H. R. (1954) A note on contagious distributions, Biometrika, 41, 268-271.
    • (1954) Biometrika , vol.41 , pp. 268-271
    • Thompson, H.R.1
  • 269
    • 84918407043 scopus 로고
    • The distribution of red blood cells in the hemacytometer
    • Turner, M. E. (1957) The distribution of red blood cells in the hemacytometer, Bio-metrics, 13,485-495.
    • (1957) Bio-metrics , vol.13 , pp. 485-495
    • Turner, M.E.1
  • 271
    • 84901329637 scopus 로고
    • Waiting times and generalized Fibonacci sequences
    • Uppuluri, V. R. R. and Patil, G. P. (1983) Waiting times and generalized Fibonacci sequences, Fibonacci Quarterly, 21, 342-349.
    • (1983) Fibonacci Quarterly , vol.21 , pp. 342-349
    • Uppuluri, V.R.R.1    Patil, G.P.2
  • 272
    • 20244370894 scopus 로고
    • Mémoire sur des Irrationneles de différens ordres avec ap-plication au cercle
    • Vandermonde, N. (1772) Mémoire sur des Irrationneles de différens ordres avec ap-plication au cercle, Histoire de V Acedemie Royale des Sciences, Part 1,489-498.
    • (1772) Histoire de V Acedemie Royale des Sciences , vol.PT 1 , pp. 489-498
    • Vandermonde, N.1
  • 273
    • 84949780413 scopus 로고
    • On Jani's paper on the minimum variance unbiased estimation for a left-truncated modified power series distribution
    • Voinov, V. G. (1986) On Jani's paper on the minimum variance unbiased estimation for a left-truncated modified power series distribution, Sankhyā, Series B, 48,144-150.
    • (1986) Sankhyā, Series B , vol.48 , pp. 144-150
    • Voinov, V.G.1
  • 274
    • 0347442569 scopus 로고
    • The representation of the Stirling's numbers and the Stirling's poly-nomials as sums of factorials
    • Ward, M. (1934) The representation of the Stirling's numbers and the Stirling's poly-nomials as sums of factorials, American Journal of Mathematics, 56, 87-95.
    • (1934) American Journal of Mathematics , vol.56 , pp. 87-95
    • Ward, M.1
  • 277
    • 0000768574 scopus 로고
    • The logarithmic series and its application to biological prob-lems
    • Williams, C. B. (1947) The logarithmic series and its application to biological prob-lems, Journal of Ecology, 34, 253-272.
    • (1947) Journal of Ecology , vol.34 , pp. 253-272
    • Williams, C.B.1
  • 278
    • 27644579075 scopus 로고
    • The committee problem
    • White, C. (1971) The committee problem, American Statistician, 25(4), 25-26.
    • (1971) American Statistician , vol.25 , Issue.4 , pp. 25-26
    • White, C.1
  • 280
    • 0347433844 scopus 로고
    • A probabilistic approach to Stirling numbers of the first kind
    • Yamato, H. (1990) A probabilistic approach to Stirling numbers of the first kind, Communications in Statistics-Theory and Methods, 19, 3915-3923.
    • (1990) Communications in Statistics-Theory and Methods , vol.19 , pp. 3915-3923
    • Yamato, H.1


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