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A New Family of BAN Estimators for Polytomous Logistic Regression Models based on ?- Divergence Measures
Authors:A K Gupta  D Kasturiratna  T Nguyen  L Pardo
Institution:(1) Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA;(2) Department of Statistics and O.R., Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid, Spain
Abstract:In this paper we study polytomous logistic regression model and the asymptotic properties of the minimum ϕ-divergence estimators for this model. A simulation study is conducted to analyze the behavior of these estimators as function of the power-divergence measure ϕ(λ) Research partially done when was visiting the Bowling Green State University as the Distinguished Lukacs Professor
Keywords:Multinomial sampling  Kullback–  Leibler divergence measure  Minimum ϕ  -divergence estimator  Polytomous regression model
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