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Minimum Φ-divergence estimator in logistic regression models
Authors:Julio Angel Pardo  Leandro Pardo  María del Carmen Pardo
Institution:(1) Department of Statistics and O.R., Complutense University of Madrid, Madrid, Spain
Abstract:A general class of minimum distance estimators for logistic regression models based on the ϕ-divergence measures is introduced: The minimum ϕ-divergence estimator, which is seen to be a generalization of the maximum likelihood estimator. Its asymptotic properties are studied as well as its behaviour in small samples throught a simulation study. This work was supported partially by Grant DGI (BMF2003-00892).
Keywords:Logistic regression model  Minimum ϕ  -divergence estimator  Monte Carlo simulation  Newton-Raphson method
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