ESTIMATION OF THE PARAMETERS OF THE BINOMIAL DISTRIBUTION IN A MODEL OF MIXTURE

被引：0

作者：

Shcherbina, A. ^{[1
]}

机构：

[1] Natl Taras Shevchenko Univ, Fac Mech & Math, Dept Probabil Theory Stat & Actuarial Math, Academician Glushkov Ave 4E, UA-03127 Kiev, Ukraine

来源：

THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS | 2012年 / 86卷

关键词：

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Estimation of the mean value in the model of two-component mixture is considered. Each object has some some characteristic of interest which can be zero (fail) or one (success). Probabilities for this values are constant for objects from the same component. Objects are distributed over several groups. We know total quantities of objects of first and second components and their characteristics. Estimates of success probabilities for both components are constructed. Method of maximum likelihood is used. Consistency and asymptotic normality of estimates is proved.

引用

页码：182 / 192

页数：11

共 50 条

[1] Estimation parameters for the Binomial q-distribution
Imed, Bouzida
Afif, Masmoudi
Mouna, Zitouni
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (21) : 5101 - 5113
[2] Efficient estimation of parameters of the negative binomial distribution
Savani, V.
Zhigljavsky, A. A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (05) : 767 - 783
[3] ESTIMATION OF PARAMETERS IN BIVARIATE NEGATIVE BINOMIAL DISTRIBUTION
SUBRAHMANIAM, K
SUBRAHMA.K
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1973, 35 (01) : 131 - 146
[4] ESTIMATION OF PARAMETERS IN THE BETA-BINOMIAL MODEL
TRIPATHI, RC
GUPTA, RC
GURLAND, J
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1994, 46 (02) : 317 - 331
[5] Estimation in the mixture transition distribution model
Berchtold, A
[J]. JOURNAL OF TIME SERIES ANALYSIS, 2001, 22 (04) : 379 - 397
[6] THE ESTIMATION OF EXCHANGEABLE BINOMIAL PARAMETERS
TEATHER, D
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1984, 13 (06) : 671 - 680
[7] ESTIMATION OF THE PARAMETERS OF A CLUMPED BINOMIAL MODEL VIA THE EM ALGORITHM
PAUL, SR
[J]. AMERICAN STATISTICIAN, 1985, 39 (02): : 136 - 139
[8] MAXIMUM-LIKELIHOOD ESTIMATION OF THE PARAMETERS OF THE BETA-BINOMIAL DISTRIBUTION
SMITH, DM
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1983, 32 (02) : 196 - 204
[9] THE ESTIMATION OF THE PARAMETERS OF A NEGATIVE BINOMIAL DISTRIBUTION WITH SPECIAL REFERENCE TO PSYCHOLOGICAL DATA
Sichel, Herbert S.
[J]. PSYCHOMETRIKA, 1951, 16 (01) : 107 - 127
[10] An objective Bayesian estimation of parameters in a log-binomial model
Zhou, Rong
Sivaganesan, Siva
Longla, Martial
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2014, 146 : 113 - 121

← 1 2 3 4 5 →