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Preliminary test estimators and phi-divergence measures in pooling binomial data.

Author(s)
Nirian Martin Department of Statistics, Carlos III University of Madrid, 28038 GetafeUP, MadridSpain
Leandro Pardo Department of Statistics and O.R, Complutense University of Madrid, 28040 Madrid, Spain
Abstract
Two independent random samples are drawn from two Binomial populations with parameters θ1 and θ2, respectively. Ahmed (1991) considered a preliminary test estimator based on maximum likelihood estimator for estimating θ1 when it is suspected that θ1 = θ2,. In this paper we combine minimum phi-divergence 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.
Publication Details
Page(s) 331-343
DOI DOI not available
Published Journal: Pakistan Journal of Statistics and Operation Research, Volume: 8, Issue: 3, Year: 2012

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