%0 Journal Article
%A Pardo Llorente, Julio Ángel
%A Pardo Llorente, María del Carmen
%T Minimum phi-divergence estimator and phi-divergence statistics in generalized linear models with binary data
%D 2008
%@ 1387-5841
%U https://hdl.handle.net/20.500.14352/50218
%X In this paper, we assume that the data are distributed according to a binomial distribution whose probabilities follow a generalized linear model. To fit the data the minimum phi-divergence estimator is studied as a generalization of the maximum likelihood estimator. We use the minimum phi-divergence estimator, which is the basis of some new statistics, for solving the problems of testing in a generalized linear model with binary data. A wide simulation study is carried out for studying the behavior of the new family of estimators as well as of the new family of test statistics.
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