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Volumn 33, Issue 2, 1999, Pages 153-169

Strong limit theorems for sums of logarithms of high order spacings

Author keywords

Entropy estimation; Goodness of fit; Spacings; Strong limit theorems; Uniform distribution

Indexed keywords


EID: 0347608344     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331889908802689     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 0041097915 scopus 로고
    • The empirical distribution function and strong laws for functions of order statistics of uniform spacings
    • Beirlant, J. and Van Zuijlen, M. C. A. (1985) The empirical distribution function and strong laws for functions of order statistics of uniform spacings. J. Multivariate Anal., 16, 300-317.
    • (1985) J. Multivariate Anal. , vol.16 , pp. 300-317
    • Beirlant, J.1    Van Zuijlen, M.C.A.2
  • 2
    • 0001044948 scopus 로고
    • Estimating parameters in continuous univariate distributions with a shifted origin
    • Cheng, R. C. H. and Amin, N. A. K. (1983) Estimating parameters in continuous univariate distributions with a shifted origin. J. Roy. Statist. Soc. Ser. B, 45, 394-403.
    • (1983) J. Roy. Statist. Soc. Ser. B , vol.45 , pp. 394-403
    • Cheng, R.C.H.1    Amin, N.A.K.2
  • 4
    • 85042336416 scopus 로고
    • On the logarithms of high order spacings
    • Cressie, N. (1976) On the logarithms of high order spacings. Biometrika, 63, 343-355.
    • (1976) Biometrika , vol.63 , pp. 343-355
    • Cressie, N.1
  • 5
    • 85042555443 scopus 로고
    • Power results for tests based on high-order gaps
    • Cressie, N. (1978) Power results for tests based on high-order gaps. Biometrika, 65, 214-218.
    • (1978) Biometrika , vol.65 , pp. 214-218
    • Cressie, N.1
  • 6
    • 0018668867 scopus 로고
    • An optimal statistic based on higher order gaps
    • Cressie, N. (1979) An optimal statistic based on higher order gaps. Biometrika, 66, 619-627.
    • (1979) Biometrika , vol.66 , pp. 619-627
    • Cressie, N.1
  • 8
    • 0001155761 scopus 로고
    • On a class of problems related to the random division of an interval
    • Darling, D. A. (1953) On a class of problems related to the random division of an interval. Ann. Math. Statist., 24, 239-253.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 239-253
    • Darling, D.A.1
  • 10
    • 0003360622 scopus 로고
    • The empiric entropy, a new approach to nonparametric entropy estimation
    • Eds., Puri, M. L., Vilaplana, J. and Westz, W., Wiley, New York
    • Dudewicz, E. J. and Van der Meulen, E. C. (1987) The empiric entropy, a new approach to nonparametric entropy estimation. In: Eds., Puri, M. L., Vilaplana, J. and Westz, W., New Perspectives in Theoretical and Applied Statistics, pp. 207-227. Wiley, New York.
    • (1987) New Perspectives in Theoretical and Applied Statistics , pp. 207-227
    • Dudewicz, E.J.1    Van Der Meulen, E.C.2
  • 12
    • 84971176494 scopus 로고
    • Limit theorems for sums of general functions of m-spacings
    • Hall, P. (1984) Limit theorems for sums of general functions of m-spacings. Math. Proc. Cambridge Philos. Soc., 96, 517-532.
    • (1984) Math. Proc. Cambridge Philos. Soc. , vol.96 , pp. 517-532
    • Hall, P.1
  • 13
    • 38249039038 scopus 로고
    • On powerful distributional tests based on sample spacing
    • Hall, P. (1986) On powerful distributional tests based on sample spacing. J. Multivariate Anal., 19, 201-224.
    • (1986) J. Multivariate Anal. , vol.19 , pp. 201-224
    • Hall, P.1
  • 14
    • 0038094998 scopus 로고
    • Asymptotic normality of sum-functions of spacings
    • Holst, L. (1979) Asymptotic normality of sum-functions of spacings. Ann. Prob., 7, 1066-1072.
    • (1979) Ann. Prob. , vol.7 , pp. 1066-1072
    • Holst, L.1
  • 15
    • 0006322268 scopus 로고
    • Asymptotic properties of functions of spacings
    • Khashimov, S. H. A. (1989) Asymptotic properties of functions of spacings. Theory Probab. Appl., 34, 298-306.
    • (1989) Theory Probab. Appl. , vol.34 , pp. 298-306
    • Khashimov, S.H.A.1
  • 20
    • 0002646747 scopus 로고
    • The maximum spacing method. An estimation method related to the maximum likelihood method
    • Ranneby, B. (1984) The maximum spacing method. An estimation method related to the maximum likelihood method. Scand. J. Statist., 11, 93-112.
    • (1984) Scand. J. Statist. , vol.11 , pp. 93-112
    • Ranneby, B.1
  • 21
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Shannon, C. E. (1948) A mathematical theory of communication. Bell System Tech. J., 27, 379-423, 623-656. Reprinted in Key Papers in the Development of Information Theory, 5-29, New York: IEEE Press.
    • (1948) Bell System Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 22
    • 84940644968 scopus 로고    scopus 로고
    • Reprinted in Key Papers New York: IEEE Press
    • Shannon, C. E. (1948) A mathematical theory of communication. Bell System Tech. J., 27, 379-423, 623-656. Reprinted in Key Papers in the Development of Information Theory, 5-29, New York: IEEE Press.
    • Development of Information Theory , pp. 5-29
  • 23
    • 0001537082 scopus 로고
    • Limit theorems for the logarithm of sample spacings
    • Shao, Y. and Hahn, M. G. (1995) Limit theorems for the logarithm of sample spacings. Statist. Probab. Lett., 24, 121-132.
    • (1995) Statist. Probab. Lett. , vol.24 , pp. 121-132
    • Shao, Y.1    Hahn, M.G.2
  • 24
    • 0007290929 scopus 로고
    • Entropy and maximal spacings for random partitions
    • Slud, E. (1978) Entropy and maximal spacings for random partitions. Z. Wahrsch. Verw. Gebiete, 41, 341-352.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.41 , pp. 341-352
    • Slud, E.1
  • 25
    • 0002545991 scopus 로고
    • Estimating functionals related to a density by a class of statistics based on spacings
    • Van Es, B. (1992) Estimating functionals related to a density by a class of statistics based on spacings. Scand. J. Statist., 19, 61-72.
    • (1992) Scand. J. Statist. , vol.19 , pp. 61-72
    • Van Es, B.1
  • 26
    • 0002260546 scopus 로고
    • A test for normality based on sample entropy
    • Vasicek, O. (1976) A test for normality based on sample entropy. J. Roy. Statist. Soc. Ser. B, 38, 54-59.
    • (1976) J. Roy. Statist. Soc. Ser. B , vol.38 , pp. 54-59
    • Vasicek, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.