%0 Journal Article %A Martín Apaolaza, Nirian %A Pardo Llorente, Leandro %T Preliminary Test Estimators and Phi-divergence Measures in Pooling Binomial Data %D 2012 %@ 2220-5810 %@ 1816-2711 %U https://hdl.handle.net/20.500.14352/105580 %X 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 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. %~