%0 Journal Article
%A Martín Apaolaza, Níriam
%A Pardo Llorente, Leandro
%T New families of estimators and test statistics in log-linear models
%D 2008
%@ 0047-259X
%U https://hdl.handle.net/20.500.14352/50253
%X In this paper we consider categorical data that are distributed according to a multinomial, product-multinomial or Poisson distribution whose expected values follow a log-linear model and we study the inference problem of hypothesis testing in a log-linear model setting. The family of test statistics considered is based on the family of phi-divergence measures. The unknown parameters in the log-linear model under consideration are also estimated using phi-divergence measures: Minimum phi-divergence estimators. A simulation study is included to find test statistics that offer an attractive alternative to the Pearson chi-square and likelihood-ratio test statistics.
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