Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblHennecart, François. Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics. Kybernetika, Tome 30 (1994) no. 3, pp. 279-288. http://geodesic.mathdoc.fr/item/KYB_1994_30_3_a7/
@article{KYB_1994_30_3_a7,
author = {Hennecart, Fran\c{c}ois},
title = {Stirling distributions and {Stirling} numbers of the second kind. {Computational} problems in statistics},
journal = {Kybernetika},
pages = {279--288},
year = {1994},
volume = {30},
number = {3},
mrnumber = {1291930},
zbl = {0810.62029},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1994_30_3_a7/}
}
[1] S. Berg: Some properties and applications of the ratio of Stirling numbers of the second kind. Scand. J. Statist. 2 (1975), 91-94. | MR
[2] W. W. Bleick, P. C. C. Wang: Asymptotics of Stirling numbers of the second kind. Proc. Amer. Math. Soc. 42 (1974), 575-580. (Correction, Proc. Amer. Math. Soc. 48 (1974), 518.) | MR | Zbl
[3] Ch. Charalambides: Minimum variance unbiased estimation for a class of left- truncated discrete distributions. Sankyã Ser. A 36 (1974), 397-418. | MR | Zbl
[4] Ch. Charalambides: The generalized Stirling and C-numbers. Sankyã Ser. A 36 (1974), 419-436. | MR | Zbl
[5] Ch. Charalambides: The distributions of sufficient statistic of truncated generalized logarithmic series, Poisson and negative binomial distributions. Canad. J. Statist. 2 (1974), 261-275. | MR
[6] Ch. Charalambides, J. Singh: A review of the Stirling numbers, their generalizations and statistical applications. Comm. Statist. Theory Methods 17 (1988), 8, 2533-2595. | MR | Zbl
[7] L. Comtet: Advanced Combinatorics. Reidel, Dordrecht 1974. | MR | Zbl
[8] R. C. Gupta: Distribution of the sum of decapited generalized Poisson variables. Sankyã Ser. B 36 (1974), 212-214. | MR
[9] R. C. Gupta: Minimum variance unbiased estimation in a modified power series distributions and some of its applications. Comm. Statist. A -- Theory Methods 6 (1977), 977-991. | MR
[10] P. N. Jani: Minimum variance unbiased estimation for some left-truncated modified power series distributions. Sankyã Ser. B 39 (1977), 258-278. | MR | Zbl
[11] P. N. Jani: New numbers appearing in minimum variance unbiased estimation for decapited generalized, negative binomial and Poisson distributions. J. Indian Statist. Assoc. 16 (1978), 41-48. | MR
[12] A. Kumar: A note on minimum variance estimators of power series distributions. Comm. Statist. (A) -- Theory Methods 9 (1980), 549-556. | MR
[13] A. Kumar, P. C. Consul: Minimum variance unbiased estimation for modified power series distributions. Comm. Statist. (A) -- Theory Methods 9(A) (1980), 1261-1275. | MR
[14] L. Moser, M. Wyman: Stirling numbers of the second kind. Duke Math. J. 25 (1958), 29-43. | MR | Zbl
[15] M. Nikulin: Some recent results on chi-squared tests. Queen's Papers in Pure and Appl. Math. (1991), No. 86. | MR | Zbl
[16] F. W. J. Olver: Asymptotics and Special Functions. Academic Press, New York 1974. | MR | Zbl
[17] G. P. Patil: Minimum variance unbiased estimation and certain problems of additive number theory. Ann. Math. Statist., 34 (1963), 1050-1056. | MR | Zbl
[18] J. Roy, S. K. Mitra: Unbiased minimum variance estimation in a class of discrete distributions. Sankyã 18 (1957), 371-378. | MR | Zbl
[19] J. Singh: A note on the Stirling distribution of the second kind. Commun. Statist. 4 (1975), 753-759. | MR | Zbl
[20] R. F. Tate, R. L. Goen: Minimum variance unbiased estimation for a truncated Poisson distribution. Ann. Math. Statist. 29 (1959), 755-765. | MR
[21] N. M. Temme: Asymptotic estimates ot Stirling numbers. Stud. Appl. Math. 89 (1993), 233-243. | MR
[22] V. G. Voinov: On Jani's paper on minimum variance unbiased estimation for a left-truncated modified power series distribution. Sankyã Ser. B 48 (1986), 144-150. | MR
[23] V. Voinov, M. Nikulin: Unbiased Estimators and Their Applications. Kluwer Academic Publishers, Dordrecht 1993. | MR | Zbl
[24] S. W. Joshi, C. J. Park: Minimum variance unbiased estimation for truncated power series distributions. Sankyã Ser. A 36 (1974), 305-314. | MR