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Phi-divergence statistics for testing linear hypotheses in logistic regression models

Menéndez Calleja, María Luisa and Pardo Llorente, Julio Ángel and Pardo Llorente, Leandro (2008) Phi-divergence statistics for testing linear hypotheses in logistic regression models. Communications in statistics.Theory and methods, 37 (4). pp. 494-507. ISSN 0361-0926

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In this paper we introduce and study two new families of statistics for the problem of testing linear combinations of the parameters in logistic regression models. These families are based on the phi-divergence measures. One of them includes the classical likelihood ratio statistic and the other the classical Pearson's statistic for this problem. It is interesting to note that the vector of unknown parameters, in the two new families of phi-divergence statistics considered in this paper, is estimated using the minimum phi-divergence estimator instead of the maximum likelihood estimator. Minimum phi-divergence estimators are a natural extension of the maximum likelihood estimator.

Item Type:Article
Uncontrolled Keywords:General linear hypotheses; Logistic regression model; Minimum phidivergence estimator; Phi-divergence statistic
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17325

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