%0 Journal Article
%A Cressie, Noel A.
%A Pardo Llorente, Leandro
%T Minimum phi-divergence estimator and hierarchical testing in loglinear models
%D 2000
%@ 1017-0405
%U https://hdl.handle.net/20.500.14352/57868
%X In this paper we consider inference based on very general divergence measures, under assumptions of multinomial sampling and loglinear models. We define the minimum phi-divergence estimator, which is seen to be a generalization of the maximum likelihood estimator. This estimator is then used in a phi-divergence goodness-of-fit statistic, which is the basis of two new statistics for solving the problem of testing a nested sequence of loglinear models.
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