Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics
Kybernetika (1994)
- Volume: 30, Issue: 3, page 279-288
- ISSN: 0023-5954
Access Full Article
topHow to cite
topHennecart, François. "Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics." Kybernetika 30.3 (1994): 279-288. <http://eudml.org/doc/28315>.
@article{Hennecart1994,
author = {Hennecart, François},
journal = {Kybernetika},
keywords = {minimum variance unbiased estimator; asymptotics; recurrence relations; left-truncated generalized Poisson distribution; modified power series distributions; sufficiency; completeness; modified Stirling numbers of the second kind; identities; relations},
language = {eng},
number = {3},
pages = {279-288},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics},
url = {http://eudml.org/doc/28315},
volume = {30},
year = {1994},
}
TY - JOUR
AU - Hennecart, François
TI - Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 3
SP - 279
EP - 288
LA - eng
KW - minimum variance unbiased estimator; asymptotics; recurrence relations; left-truncated generalized Poisson distribution; modified power series distributions; sufficiency; completeness; modified Stirling numbers of the second kind; identities; relations
UR - http://eudml.org/doc/28315
ER -
References
top- S. Berg, Some properties and applications of the ratio of Stirling numbers of the second kind, Scand. J. Statist. 2 (1975), 91-94. (1975) MR0386083
- 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.) (1974) Zbl0278.41034MR0330867
- Ch. Charalambides, Minimum variance unbiased estimation for a class of left- truncated discrete distributions, Sankyã Ser. A 36 (1974), 397-418. (1974) Zbl0312.62027MR0386113
- Ch. Charalambides, The generalized Stirling and C-numbers, Sankyã Ser. A 36 (1974), 419-436. (1974) Zbl0313.62014MR0386114
- Ch. Charalambides, The distributions of sufficient statistic of truncated generalized logarithmic series, Poisson and negative binomial distributions, Canad. J. Statist. 2 (1974), 261-275. (1974) MR0400495
- Ch. Charalambides, J. Singh, A review of the Stirling numbers, their generalizations and statistical applications, Comm. Statist. Theory Methods 17 (1988), 8, 2533-2595. (1988) Zbl0696.62025MR0955350
- L. Comtet, Advanced Combinatorics, Reidel, Dordrecht 1974. (1974) Zbl0283.05001MR0460128
- R. C. Gupta, Distribution of the sum of decapited generalized Poisson variables, Sankyã Ser. B 36 (1974), 212-214. (1974) MR0391342
- 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. (1977) MR0518866
- P. N. Jani, Minimum variance unbiased estimation for some left-truncated modified power series distributions, Sankyã Ser. B 39 (1977), 258-278. (1977) Zbl0394.62015MR0652703
- 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. (1978) MR0529348
- A. Kumar, A note on minimum variance estimators of power series distributions, Comm. Statist. (A) -- Theory Methods 9 (1980), 549-556. (1980) MR0561555
- A. Kumar, P. C. Consul, Minimum variance unbiased estimation for modified power series distributions, Comm. Statist. (A) -- Theory Methods 9(A) (1980), 1261-1275. (1980) MR0578556
- L. Moser, M. Wyman, Stirling numbers of the second kind, Duke Math. J. 25 (1958), 29-43. (1958) Zbl0079.09102MR0091964
- M. Nikulin, Some recent results on chi-squared tests, Queen's Papers in Pure and Appl. Math. (1991), No. 86. (1991) Zbl0752.62038MR1098501
- F. W. J. Olver, Asymptotics and Special Functions, Academic Press, New York 1974. (1974) Zbl0308.41023MR0435697
- G. P. Patil, Minimum variance unbiased estimation and certain problems of additive number theory, Ann. Math. Statist., 34 (1963), 1050-1056. (1963) Zbl0116.37203MR0155388
- J. Roy, S. K. Mitra, Unbiased minimum variance estimation in a class of discrete distributions, Sankyã 18 (1957), 371-378. (1957) Zbl0084.14901MR0092320
- J. Singh, A note on the Stirling distribution of the second kind, Commun. Statist. 4 (1975), 753-759. (1975) Zbl0307.62010MR0388609
- R. F. Tate, R. L. Goen, Minimum variance unbiased estimation for a truncated Poisson distribution, Ann. Math. Statist. 29 (1959), 755-765. (1959) MR0093849
- N. M. Temme, Asymptotic estimates ot Stirling numbers, Stud. Appl. Math. 89 (1993), 233-243. (1993) MR1223774
- 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. (1986) MR0887688
- V. Voinov, M. Nikulin, Unbiased Estimators and Their Applications, Kluwer Academic Publishers, Dordrecht 1993. (1993) Zbl0832.62019MR1472739
- S. W. Joshi, C. J. Park, Minimum variance unbiased estimation for truncated power series distributions, Sankyã Ser. A 36 (1974), 305-314. (1974) MR0386121
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.