| Title:
|
Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics (English) |
| Author:
|
Hennecart, François |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
30 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
279-288 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05A19 |
| MSC:
|
11B37 |
| MSC:
|
11B73 |
| MSC:
|
11Z05 |
| MSC:
|
60C05 |
| MSC:
|
62E15 |
| MSC:
|
62F10 |
| idZBL:
|
Zbl 0810.62029 |
| idMR:
|
MR1291930 |
| . |
| Date available:
|
2009-09-24T18:47:32Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125160 |
| . |
| Reference:
|
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| Reference:
|
[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.) Zbl 0278.41034, MR 0330867 |
| Reference:
|
[3] Ch. Charalambides: Minimum variance unbiased estimation for a class of left- truncated discrete distributions.Sankyã Ser. A 36 (1974), 397-418. Zbl 0312.62027, MR 0386113 |
| Reference:
|
[4] Ch. Charalambides: The generalized Stirling and C-numbers.Sankyã Ser. A 36 (1974), 419-436. Zbl 0313.62014, MR 0386114 |
| Reference:
|
[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 0400495 |
| Reference:
|
[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. Zbl 0696.62025, MR 0955350 |
| Reference:
|
[7] L. Comtet: Advanced Combinatorics.Reidel, Dordrecht 1974. Zbl 0283.05001, MR 0460128 |
| Reference:
|
[8] R. C. Gupta: Distribution of the sum of decapited generalized Poisson variables.Sankyã Ser. B 36 (1974), 212-214. MR 0391342 |
| Reference:
|
[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 0518866 |
| Reference:
|
[10] P. N. Jani: Minimum variance unbiased estimation for some left-truncated modified power series distributions.Sankyã Ser. B 39 (1977), 258-278. Zbl 0394.62015, MR 0652703 |
| Reference:
|
[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 0529348 |
| Reference:
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[12] A. Kumar: A note on minimum variance estimators of power series distributions.Comm. Statist. (A) -- Theory Methods 9 (1980), 549-556. MR 0561555 |
| Reference:
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[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 0578556 |
| Reference:
|
[14] L. Moser, M. Wyman: Stirling numbers of the second kind.Duke Math. J. 25 (1958), 29-43. Zbl 0079.09102, MR 0091964 |
| Reference:
|
[15] M. Nikulin: Some recent results on chi-squared tests.Queen's Papers in Pure and Appl. Math. (1991), No. 86. Zbl 0752.62038, MR 1098501 |
| Reference:
|
[16] F. W. J. Olver: Asymptotics and Special Functions.Academic Press, New York 1974. Zbl 0308.41023, MR 0435697 |
| Reference:
|
[17] G. P. Patil: Minimum variance unbiased estimation and certain problems of additive number theory.Ann. Math. Statist., 34 (1963), 1050-1056. Zbl 0116.37203, MR 0155388 |
| Reference:
|
[18] J. Roy, S. K. Mitra: Unbiased minimum variance estimation in a class of discrete distributions.Sankyã 18 (1957), 371-378. Zbl 0084.14901, MR 0092320 |
| Reference:
|
[19] J. Singh: A note on the Stirling distribution of the second kind.Commun. Statist. 4 (1975), 753-759. Zbl 0307.62010, MR 0388609 |
| Reference:
|
[20] R. F. Tate, R. L. Goen: Minimum variance unbiased estimation for a truncated Poisson distribution.Ann. Math. Statist. 29 (1959), 755-765. MR 0093849 |
| Reference:
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[21] N. M. Temme: Asymptotic estimates ot Stirling numbers.Stud. Appl. Math. 89 (1993), 233-243. MR 1223774 |
| Reference:
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[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 0887688 |
| Reference:
|
[23] V. Voinov, M. Nikulin: Unbiased Estimators and Their Applications.Kluwer Academic Publishers, Dordrecht 1993. Zbl 0832.62019, MR 1472739 |
| Reference:
|
[24] S. W. Joshi, C. J. Park: Minimum variance unbiased estimation for truncated power series distributions.Sankyã Ser. A 36 (1974), 305-314. MR 0386121 |
| . |
