Note on the Unbiased Estimation of a Function of the Parameter of the Geometric Distribution

被引：0

作者：

Lengyel, Tamas ^{[1
]}

机构：

[1] Occidental Coll, Math Dept, Los Angeles, CA 90041 USA

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2012年 / 27卷 / 03期

关键词：

estimability; minimum variance unbiased estimator; hypergeometric functions; reliability theory;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Kolmogorov studied the problem of whether a function of the parameter p of the Bernoulli distribution Bernoulli[p] has an unbiased estimator based on a sample X-1, X-2, ... , X-n of size n and proved that exactly the polynomial functions of degree at most n can be estimated. For the geometric distribution Geometric[p], we prove that exactly the functions that are analytic at p = 1 have unbiased estimators and present the best estimators.

引用

页码：1 / 7

页数：7

共 50 条

[1] Note on the unbiased estimation of a function of the parameter of the geometric distribution
Mathematics Department, Occidental College, Los Angeles, CA 90041, United States
[J]. Int. J. Appl. Math. Stat., 3 (1-7):
[2] UNBIASED ESTIMATION OF THE PARAMETER OF AN EXPONENTIAL-DISTRIBUTION
BELYAYEV, YK
MAKAROV, AP
[J]. ENGINEERING CYBERNETICS, 1982, 20 (03): : 78 - 81
[3] UNBIASED ESTIMATION OF THE NORMAL-DISTRIBUTION FUNCTION
HEALY, WC
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1956, 27 (03): : 873 - 873
[4] Unbiased Estimation of the Distribution Function of a Two-Parameter Exponential Population Using Order Statistics
Sengupta, S.
Mukhuti, Sujay
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (15) : 2578 - 2585
[5] Parameter estimation in geometric process with Weibull distribution
Aydogdu, Halil
Senoglu, Birdal
Kara, Mahmut
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) : 2657 - 2665
[6] A note on estimation of a shape parameter in a Pareto distribution
Yabuno, Mashu
Tanaka, Hidekazu
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (21) : 7561 - 7574
[7] UNBIASED ESTIMATION OF A VECTOR PARAMETER
MEHRA, KL
RAMACHAN.PV
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1972, 15 (04): : 547 - 550
[8] Parameter Estimation and Application of Generalized Inflated Geometric Distribution
Avishek Mallick
Ram Joshi
[J]. Journal of Statistical Theory and Applications, 2018, 17 (3): : 491 - 519
[9] Parameter Estimation and Application of Generalized Inflated Geometric Distribution
Mallick, Avishek
Joshi, Ram
[J]. JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2018, 17 (03): : 491 - 519
[10] Relay linear unbiased estimation of scale parameter of logistic distribution.
Weke, PGO
[J]. INSURANCE MATHEMATICS & ECONOMICS, 2003, 32 (03): : 473 - 474

← 1 2 3 4 5 →