Preliminary Test Estimators and Phi-divergence Measures in Pooling Binomial Data

被引：0

作者：

Martin, Nirian ^{[1
]}

Pardo, Leandro ^{[2
]}

机构：

[1] Univ Carlos III Madrid, Dept Stat, Madrid 28038, Spain

[2] Univ Complutense Madrid, Dept Stat & OR, Madrid 28040, Spain

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2012年 / 8卷 / 03期

关键词：

Pooling Binomial data; Minimum phi-divergence estimator; Phi-divergence statistics; Preliminary tests estimators;

D O I：

10.18187/pjsor.v8i3.511

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：

Two independent random samples are drawn from two Binomial populations with parameters theta(1) and theta(2) respectively. Ahmed (1991) considered a preliminary test estimator based on maximum likelihood estimator for estimating theta(1). when it is suspected that theta(1) = theta(2). In this paper we combine minimum phidivergence estimators as well as phi-divergence test statistics in order to define preliminary phi-divergence test estimators. These new estimators are compared with the classical estimator as well as the pooled estimator.

引用

页码：331 / 343

页数：13

共 32 条

[1] Preliminary test estimators and phi-divergence measures in generalized linear models with binary data
Menendez, M. L.
Pardo, L.
Pardo, M. C.
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2008, 99 (10) : 2265 - 2284
[2] Minimum Phi-Divergence Estimators and Phi-Divergence Test Statistics in Contingency Tables with Symmetry Structure: An Overview
Pardo, Leandro
Martin, Nirian
[J]. SYMMETRY-BASEL, 2010, 2 (02): : 1108 - 1120
[3] Preliminary phi-divergence test estimators for linear restrictions in a logistic regression model
M. L. Menéndez
L. Pardo
M. C. Pardo
[J]. Statistical Papers, 2009, 50 : 277 - 300
[4] Preliminary phi-divergence test estimators for linear restrictions in a logistic regression model
Menendez, M. L.
Pardo, L.
Pardo, M. C.
[J]. STATISTICAL PAPERS, 2009, 50 (02) : 277 - 300
[5] Preliminary Phi-divergence test estimator for multinomial probabilities
Gupta, AK
Nguyen, T
Pardo, L
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2006, 50 (07) : 1749 - 1773
[6] On the comparison of the pre-test and shrinkage phi-divergence test estimators for the symmetry model of categorical data
Pardo, Leandro
Martin, Nirian
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) : 1160 - 1179
[7] Wald type and phi-divergence based test-statistics for isotonic binomial proportions
Martin, Nirian
Mata, Raquel
Pardo, Leandro
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2016, 120 : 31 - 49
[8] On some pre-test and Stein-rule phi-divergence test estimators in the independence model of categorical data
Pardo, L.
Menendez, M. L.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (07) : 2163 - 2179
[9] Bahadur efficiency of the phi-divergence test statistic
Pardo, L
[J]. SOFT METHODOLOGY AND RANDOM INFORMATION SYSTEMS, 2004, : 307 - 314
[10] Phi-divergence test statistics for trends in binary responses
Menéndez, ML
[J]. SOFT METHODOLOGY AND RANDOM INFORMATION SYSTEMS, 2004, : 379 - 386

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