-
4
-
-
0007286821
-
Sums of ordered intervals and distances
-
Barton, D.E. & David, F.N. (1955). Sums of ordered intervals and distances. Mathematika, 2, 150-159.
-
(1955)
Mathematika
, vol.2
, pp. 150-159
-
-
Barton, D.E.1
David, F.N.2
-
5
-
-
0007221115
-
Mémoire sur la probabilité des résultats moyens des observations; démonstration directe de la règle de laplace
-
Bienaymé, I.J. (1838). Mémoire sur la probabilité des résultats moyens des observations; démonstration directe de la règle de Laplace. Mém. pres. Acad Roy. Sci. Inst. France, 5, 513-558.
-
(1838)
Mém. Pres. Acad Roy. Sci. Inst. France
, vol.5
, pp. 513-558
-
-
Bienaymé, I.J.1
-
6
-
-
38249043403
-
Learn-merge invariance of priors: A characterization of the dirichlet distributions and processes
-
Böge, W. & Mocks, J. (1986). Learn-merge invariance of priors: a characterization of the Dirichlet distributions and processes. J. Multivariate Anal., 18, 83-92.
-
(1986)
J. Multivariate Anal.
, vol.18
, pp. 83-92
-
-
Böge, W.1
Mocks, J.2
-
8
-
-
0001511941
-
A transient random walk on stochastic matrices with Dirichlet distributions
-
Chamayou, J-F. & Letac, G. (1994). A transient random walk on stochastic matrices with Dirichlet distributions. Ann. Probab. 22, 424-430.
-
(1994)
Ann. Probab.
, vol.22
, pp. 424-430
-
-
Chamayou, J.-F.1
Letac, G.2
-
9
-
-
0017883262
-
A model for association inbivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
-
Clayton, D.G. (1978). A model for association inbivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141-151.
-
(1978)
Biometrika
, vol.65
, pp. 141-151
-
-
Clayton, D.G.1
-
10
-
-
0001606204
-
A family of distributions for modeling non-elliptically symmetric multivariate data
-
Cook, R.D. & Johnson, M.E. (1981). A family of distributions for modeling non-elliptically symmetric multivariate data. J. Royal Statist. Soc., Ser. B, 43, 210-218.
-
(1981)
J. Royal Statist. Soc., Ser. B
, vol.43
, pp. 210-218
-
-
Cook, R.D.1
Johnson, M.E.2
-
11
-
-
0000171441
-
A characterization of the Dirichlet distribution
-
Darroch, J.N. & Ratcliff, D. (1971). A characterization of the Dirichlet distribution. J. Amer. Statist. Assoc., 66, 641-643.
-
(1971)
J. Amer. Statist. Assoc.
, vol.66
, pp. 641-643
-
-
Darroch, J.N.1
Ratcliff, D.2
-
14
-
-
0000811835
-
Conjugate priors for exponential families
-
Diaconis, P. & Ylvisaker, D. (1979). Conjugate priors for exponential families. Ann. Statist., 7, 269-281.
-
(1979)
Ann. Statist.
, vol.7
, pp. 269-281
-
-
Diaconis, P.1
Ylvisaker, D.2
-
15
-
-
0007157485
-
-
(Collected Papers), 2 vols., Eds. L. Kronecker and L. Fuchs (1969). New York: Chelsea
-
Dirichlet, P.G. Lejeune (1889-1897). Werke (Collected Papers), 2 vols., Eds. L. Kronecker and L. Fuchs (1969). New York: Chelsea.
-
(1889)
Werke
-
-
Dirichlet, P.G.L.1
-
16
-
-
0007157004
-
Sur une nouvelle méthode pour la détermination des intégrales multiples
-
Reprinted in Dirichlet's Werke, Vol. I, 377-380
-
Dirichlet, P.G. Lejeune (1839a). Sur une nouvelle méthode pour la détermination des intégrales multiples. Liouville, J. de Mathématiques, Ser. I, 4, 164-168. Reprinted in Dirichlet's Werke, Vol. I, 377-380.
-
(1839)
Liouville, J. de Mathématiques, Ser. I
, vol.4
, pp. 164-168
-
-
Dirichlet, P.G.L.1
-
17
-
-
0007153980
-
Über eine neue methode zur bestimmung vielfacher integrale
-
Reprinted in Dirichlet's Werte, Vol. I, 383-390
-
Dirichlet, P.G. Lejeune (1839b). Über eine Neue Methode zur Bestimmung Vielfacher Integrale. Ver. Preuss. Akad. Wiss., 18-25. Reprinted in Dirichlet's Werte, Vol. I, 383-390.
-
(1839)
Ver. Preuss. Akad. Wiss.
, pp. 18-25
-
-
Dirichlet, P.G.L.1
-
18
-
-
0007291844
-
Über eine neue methode zur bestimmung vielfacher integrale
-
Reprinted in Dirichlet's Werte, Vol. I, 393-410
-
Dirichlet, P.G. Lejeune (1839c). Über eine Neue Methode zur Bestimmung Vielfacher Integrale. Kgl. Preuss. Akad. Wiss., 61-79. Reprinted in Dirichlet's Werte, Vol. I, 393-410.
-
(1839)
Kgl. Preuss. Akad. Wiss.
, pp. 61-79
-
-
Dirichlet, P.G.L.1
-
19
-
-
21844507080
-
Modeling repeated count data: Some extensions of the rasch poisson counts model
-
van Duijn, M. & Jansen, M.G.H. (1995). Modeling repeated count data: Some extensions of the Rasch Poisson counts model. J. Educ. Behavior. Statist., 20, 241-258.
-
(1995)
J. Educ. Behavior. Statist.
, vol.20
, pp. 241-258
-
-
Van Duijn, M.1
Jansen, M.G.H.2
-
22
-
-
0001120413
-
A bayesian analysis of some nonparametric problems
-
Ferguson, T.S. (1973). A Bayesian analysis of some nonparametric problems. Ann. Statist., 1, 209-230.
-
(1973)
Ann. Statist.
, vol.1
, pp. 209-230
-
-
Ferguson, T.S.1
-
23
-
-
0007216171
-
Dirichlet's contributions to mathematical probability theory
-
Fischer, H. (1994). Dirichlet's contributions to mathematical probability theory. Historia Math., 21, 39-63.
-
(1994)
Historia Math.
, vol.21
, pp. 39-63
-
-
Fischer, H.1
-
24
-
-
0002664746
-
Tests of significance in harmonic analysis
-
Fisher, R.A. (1929). Tests of significance in harmonic analysis. Proc. Royal Soc. Edinburgh, Sec. A, 125, 54-59.
-
(1929)
Proc. Royal Soc. Edinburgh, Sec. A
, vol.125
, pp. 54-59
-
-
Fisher, R.A.1
-
25
-
-
0031510558
-
A characterization of the dirichlet distribution through global and local parameter independence
-
Geiger, D. & Heckerman, D. (1997). A characterization of the Dirichlet distribution through global and local parameter independence. Ann. Statist., 25, 1344-1369.
-
(1997)
Ann. Statist.
, vol.25
, pp. 1344-1369
-
-
Geiger, D.1
Heckerman, D.2
-
26
-
-
84973961711
-
A generalisation of dirichlet's multiple integral
-
Good, I.J. (1952). A generalisation of Dirichlet's multiple integral. Edinburgh Math. Notes, 38, 7-8.
-
(1952)
Edinburgh Math. Notes
, vol.38
, pp. 7-8
-
-
Good, I.J.1
-
28
-
-
0001752397
-
On the application of symmetric dirichlet distributions and their mixtures to contingency tables
-
Good, I.J. (1976). On the application of symmetric Dirichlet distributions and their mixtures to contingency tables. Ann. Statist., 4, 1159-1189.
-
(1976)
Ann. Statist.
, vol.4
, pp. 1159-1189
-
-
Good, I.J.1
-
29
-
-
0000009303
-
The robustness and sensitivity of the mixed-Dirichlet Bayesian test for "independence" in contingency tables
-
Good, I.J. & Crook, J.F. (1987). The robustness and sensitivity of the mixed-Dirichlet Bayesian test for "independence" in contingency tables. Ann. Statist., 15, 670-693.
-
(1987)
Ann. Statist.
, vol.15
, pp. 670-693
-
-
Good, I.J.1
Crook, J.F.2
-
30
-
-
0000196695
-
The dirichlet: A comprehensive model of buying behavior
-
Goodhart, G.J., Ehrenburg, A.S.C. & Chatfield, C. (1984). The Dirichlet: A comprehensive model of buying behavior (with discussion). J. Royal Statist. Soc., Ser. A, 147, 621-655.
-
(1984)
J. Royal Statist. Soc., Ser. A
, vol.147
, pp. 621-655
-
-
Goodhart, G.J.1
Ehrenburg, A.S.C.2
Chatfield, C.3
-
33
-
-
38249020954
-
The Drichlet distributions and polynomial regression
-
Gupta, R.D. & Richards, D.St.P. (1990). The Dirichlet distributions and polynomial regression. J. Multivariate Anal., 32, 95-102.
-
(1990)
J. Multivariate Anal.
, vol.32
, pp. 95-102
-
-
Gupta, R.D.1
Richards, D.S.P.2
-
34
-
-
0001404761
-
Multivariate liouville distributions, II
-
Gupta, R.D. & Richards, D.St.P. (1991). Multivariate Liouville distributions, II. Probab. and Math. Statist., 12, 291-309.
-
(1991)
Probab. and Math. Statist.
, vol.12
, pp. 291-309
-
-
Gupta, R.D.1
Richards, D.S.P.2
-
35
-
-
0002334964
-
Multivariate liouville distributions, III
-
Gupta, R.D. & Richards, D.St.P. (1992). Multivariate Liouville distributions, III. J. Multivariate Anal., 43, 29-57.
-
(1992)
J. Multivariate Anal.
, vol.43
, pp. 29-57
-
-
Gupta, R.D.1
Richards, D.S.P.2
-
36
-
-
0002600885
-
Multivariate liouville distributions, IV
-
Gupta, R.D. & Richards, D.St.P. (1995). Multivariate Liouville distributions, IV. J. Multivariate Anal., 54, 1-17.
-
(1995)
J. Multivariate Anal.
, vol.54
, pp. 1-17
-
-
Gupta, R.D.1
Richards, D.S.P.2
-
38
-
-
0031572767
-
Invariance properties of some classical tests for exponentiality
-
Gupta, R.D. & Richards, D.St.P. (1997b). Invariance properties of some classical tests for exponentiality. J. Statist. Plann. Inference, 63, 207-213.
-
(1997)
J. Statist. Plann. Inference
, vol.63
, pp. 207-213
-
-
Gupta, R.D.1
Richards, D.St.P.2
-
39
-
-
0007291846
-
The covariance structure of the multivariate liouville distributions
-
to appear
-
Gupta, R.D. & Richards, D.St.P. (2001a). The covariance structure of the multivariate Liouville distributions. Contemp. Math., to appear.
-
(2001)
Contemp. Math.
-
-
Gupta, R.D.1
Richards, D.St.P.2
-
40
-
-
85037387155
-
Moment properties of the multivariate dirichlet distributions
-
to appear
-
Gupta, R.D. & Richards, D.StP. (2001b). Moment properties of the multivariate Dirichlet distributions, J. Multivariate Anal., to appear.
-
(2001)
J. Multivariate Anal.
-
-
Gupta, R.D.1
Richards, D.S.P.2
-
43
-
-
0000896116
-
An approximation to the multinomial distribution: Some properties and applications
-
Johnson, N.L. (1960). An approximation to the multinomial distribution: Some properties and applications. Biometrika, 47, 93-102.
-
(1960)
Biometrika
, vol.47
, pp. 93-102
-
-
Johnson, N.L.1
-
44
-
-
0000896115
-
Some applications of two approximations to the multinomial distribution
-
Johnson, N.L. & Young, D.H. (1960). Some applications of two approximations to the multinomial distribution. Biometrika, 47, 463-469.
-
(1960)
Biometrika
, vol.47
, pp. 463-469
-
-
Johnson, N.L.1
Young, D.H.2
-
48
-
-
49149144788
-
Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions
-
Karlin, S. & Rinott, Y. (1980). Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions. J. Multivariate Anal., 10, 499-516.
-
(1980)
J. Multivariate Anal.
, vol.10
, pp. 499-516
-
-
Karlin, S.1
Rinott, Y.2
-
49
-
-
38249038675
-
Multivariate splines: A probabilistic perspective
-
Karlin, S., Micchelli, C.A. & Rinott, Y. (1986). Multivariate splines: a probabilistic perspective. J. Multivariate Anal., 20, 69-90.
-
(1986)
J. Multivariate Anal.
, vol.20
, pp. 69-90
-
-
Karlin, S.1
Micchelli, C.A.2
Rinott, Y.3
-
51
-
-
0007157954
-
Extensions of Dirichlet's multiple integral
-
Klamkin, M.S. (1971). Extensions of Dirichlet's multiple integral. SIAM J. Math. Anal., 2, 467-469.
-
(1971)
Siam J. Math. Anal.
, vol.2
, pp. 467-469
-
-
Klamkin, M.S.1
-
52
-
-
0007280584
-
Mémoire sur les probabilités
-
Reprinted in Laplace's Oeuvres Complètes, 9, 383-445, Paris: Gauthier-Villars
-
Laplace, P.S. (1781). Mémoire sur les probabilités. Mém. Acad. Roy. Sci. Paris, pp. 227-332. Reprinted in Laplace's Oeuvres Complètes, 9, 383-445, Paris: Gauthier-Villars.
-
(1781)
Mém. Acad. Roy. Sci. Paris
, pp. 227-332
-
-
Laplace, P.S.1
-
53
-
-
0001402362
-
An expectation formula for the multivariate Dirichlet distributions
-
Letac, G., Massam, H. & Richards, D.St.P. (2001). An expectation formula for the multivariate Dirichlet distributions, J. Multivariate Anal., 77, 117-137.
-
(2001)
J. Multivariate Anal.
, vol.77
, pp. 117-137
-
-
Letac, G.1
Massam, H.2
Richards, D.St.P.3
-
54
-
-
0007225011
-
On some generalized multivariate distributions
-
Lingappaiah, G.S. (1985). On some generalized multivariate distributions. Tamkang J. Math., 16, 59-74.
-
(1985)
Tamkang J. Math.
, vol.16
, pp. 59-74
-
-
Lingappaiah, G.S.1
-
58
-
-
0000357563
-
A generalization of the beta-distribution
-
Mauldon, J.G. (1959). A generalization of the beta-distribution. Ann. Math. Statist., 30, 509-520.
-
(1959)
Ann. Math. Statist.
, vol.30
, pp. 509-520
-
-
Mauldon, J.G.1
-
60
-
-
0002567040
-
On the compound multinomial distribution, the multivariate β-distribution, and correlation among proportions
-
Mosimann, J.E. (1962). On the compound multinomial distribution, the multivariate β-distribution, and correlation among proportions. Biometrika, 49, 65-82.
-
(1962)
Biometrika
, vol.49
, pp. 65-82
-
-
Mosimann, J.E.1
-
61
-
-
0002497366
-
On the compound negative multinomial distribution and correlations among inversely sampled pollen counts
-
Mosimann, J.E. (1963). On the compound negative multinomial distribution and correlations among inversely sampled pollen counts. Biometrika, 50, 47-54.
-
(1963)
Biometrika
, vol.50
, pp. 47-54
-
-
Mosimann, J.E.1
-
62
-
-
0000718672
-
Distribution of the ratio of the mean square successive difference to the variance
-
von Neumann, J. (1941). Distribution of the ratio of the mean square successive difference to the variance. Ann. Math. Statist., 12, 367-395.
-
(1941)
Ann. Math. Statist.
, vol.12
, pp. 367-395
-
-
Von Neumann, J.1
-
63
-
-
84972528333
-
A class of integral identities with matrix argument
-
Olkin, I. (1959). A class of integral identities with matrix argument. Duke Math. J., 26, 207-214.
-
(1959)
Duke Math. J.
, vol.26
, pp. 207-214
-
-
Olkin, I.1
-
64
-
-
0007289829
-
Matrix extensions of liouville-Dirichlet-type integrals
-
Olkin, I. (1979). Matrix extensions of Liouville-Dirichlet-type integrals. Linear Alg. Appl., 28, 155-160.
-
(1979)
Linear Alg. Appl.
, vol.28
, pp. 155-160
-
-
Olkin, I.1
-
65
-
-
0000715637
-
Multivariate beta distributions and independence properties of the wishart distribution
-
Olkin, I. & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. Ann. Math. Statist., 35, 261-269.
-
(1964)
Ann. Math. Statist.
, vol.35
, pp. 261-269
-
-
Olkin, I.1
Rubin, H.2
-
66
-
-
0007157488
-
Notes on skew frequency curves
-
Pearson, K. (1923). Notes on skew frequency curves. Biometrika, 15, 222-230.
-
(1923)
Biometrika
, vol.15
, pp. 222-230
-
-
Pearson, K.1
-
67
-
-
0031534984
-
The two-parameter poisson-Dirichlet distribution derived from a stable subordinator
-
Pitman, J. & Yor, M. (1997). The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab., 25, 855-900.
-
(1997)
Ann. Probab.
, vol.25
, pp. 855-900
-
-
Pitman, J.1
Yor, M.2
-
68
-
-
0002783594
-
Logarithmic concave measures with application to stochastic programming
-
Prékopa, A. (1971). Logarithmic concave measures with application to stochastic programming. Acta Sci. Math. (Szeged), 32, 301-316.
-
(1971)
Acta Sci. Math. (Szeged)
, vol.32
, pp. 301-316
-
-
Prékopa, A.1
-
69
-
-
0001453215
-
Sur quelques points de la théorie des probabilités
-
Pólya, G. (1931). Sur quelques points de la théorie des probabilités. Ann. Inst. Henri Poincaré, 1, 117-161.
-
(1931)
Ann. Inst. Henri Poincaré
, vol.1
, pp. 117-161
-
-
Pólya, G.1
-
70
-
-
0000907513
-
Incomplete Dirichlet integrals with applications to ordered uniform spacings
-
Rao, J.S. & Sobel, M. (1980). Incomplete Dirichlet integrals with applications to ordered uniform spacings. J. Multivariate Anal., 10, 603-610.
-
(1980)
J. Multivariate Anal.
, vol.10
, pp. 603-610
-
-
Rao, J.S.1
Sobel, M.2
-
71
-
-
85037380516
-
Liouville distributions
-
Eds. N.L. Johnson and S. Kotz, see also the Encyclopedia's entry on the Dirichlet distributions
-
Ratnaparkhi, M.V. (1985). Liouville distributions. In Encyclopedia of Statistical Sciences, Eds. N.L. Johnson and S. Kotz, 5, 86-87 (see also the Encyclopedia's entry on the Dirichlet distributions).
-
(1985)
Encyclopedia of Statistical Sciences
, vol.5
, pp. 86-87
-
-
Ratnaparkhi, M.V.1
-
73
-
-
38249013086
-
General exponential models on the unit simplex and related multivariate inverse Gaussian distributions
-
Seshadri, V. (1992). General exponential models on the unit simplex and related multivariate inverse Gaussian distributions. Statist. Probab. Lett., 14, 385-391.
-
(1992)
Statist. Probab. Lett.
, vol.14
, pp. 385-391
-
-
Seshadri, V.1
-
74
-
-
0007290256
-
The generalized Dirichlet's multiple integral
-
Sivazlian, B.D. (1969). The generalized Dirichlet's multiple integral. SIAM Rev., 11, 285-288.
-
(1969)
SIAM Rev.
, vol.11
, pp. 285-288
-
-
Sivazlian, B.D.1
-
75
-
-
0014817449
-
Asymptotic approximations to ordering policies in a stationary (σ, s) inventory problem
-
Sivazlian, B.D. (1970). Asymptotic approximations to ordering policies in a stationary (σ, S) inventory problem. SIAM J. Appl. Math., 19, 155-166.
-
(1970)
SIAM J. Appl. Math.
, vol.19
, pp. 155-166
-
-
Sivazlian, B.D.1
-
76
-
-
84985624852
-
A class of multivariate distributions
-
Sivazlian, B.D. (1981a). A class of multivariate distributions. Austral. J. Statist., 23, 251-255.
-
(1981)
Austral. J. Statist.
, vol.23
, pp. 251-255
-
-
Sivazlian, B.D.1
-
77
-
-
0019625159
-
On a multivariate extension of the gamma and beta distributions
-
Sivazlian, B.D. (1981b). On a multivariate extension of the gamma and beta distributions. SIAM J. Appl. Math., 41, 205-209.
-
(1981)
SIAM J. Appl. Math.
, vol.41
, pp. 205-209
-
-
Sivazlian, B.D.1
-
78
-
-
84972488038
-
Bayesian analysis in expert systems
-
Spiegelhalter, D.J., Dawid, A.P., Lauritzen, S.L. & Cowell, R.G. (1993). Bayesian analysis in expert systems (with comments and rejoinder). Statist. Sci. 8, 219-283.
-
(1993)
Statist. Sci.
, vol.8
, pp. 219-283
-
-
Spiegelhalter, D.J.1
Dawid, A.P.2
Lauritzen, S.L.3
Cowell, R.G.4
-
80
-
-
0346802795
-
Extension of Pearson's probability distributions to two variables, I-IV
-
1252-1264
-
van Uven, M.J. (1948). Extension of Pearson's probability distributions to two variables, I-IV. Proc. Kon. Ned. Acad. Wetensch. (A), 50, 1063-1070, 1252-1264; 51, 41-52, 191-196.
-
(1948)
Proc. Kon. Ned. Acad. Wetensch. (A)
, vol.50
, pp. 1063-1070
-
-
Van Uven, M.J.1
-
81
-
-
85037388629
-
-
191-196
-
van Uven, M.J. (1948). Extension of Pearson's probability distributions to two variables, I-IV. Proc. Kon. Ned. Acad. Wetensch. (A), 50, 1063-1070, 1252-1264; 51, 41-52, 191-196.
-
Proc. Kon. Ned. Acad. Wetensch. (A)
, vol.51
, pp. 41-52
-
-
-
82
-
-
0000994391
-
Use of moments in distribution theory: A multivariate case
-
Volodin, N.A., Kotz, S. & Johnson, N.L. (1993). Use of moments in distribution theory: a multivariate case. J. Multivariate Anal., 46, 112-119.
-
(1993)
J. Multivariate Anal.
, vol.46
, pp. 112-119
-
-
Volodin, N.A.1
Kotz, S.2
Johnson, N.L.3
-
83
-
-
0002765765
-
Determination of sample sizes for setting tolerance limits
-
Wilks, S.S. (1941). Determination of sample sizes for setting tolerance limits. Ann. Math. Statist., 12, 91-96.
-
(1941)
Ann. Math. Statist.
, vol.12
, pp. 91-96
-
-
Wilks, S.S.1
-
84
-
-
0000929266
-
Statistical prediction with special reference to the problem of tolerance limits
-
Wilks, S.S. (1942). Statistical prediction with special reference to the problem of tolerance limits. Ann. Math. Statist., 13, 400-409.
-
(1942)
Ann. Math. Statist.
, vol.13
, pp. 400-409
-
-
Wilks, S.S.1
|