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New Influence Measures in Polytomous Logistic Regression Models Based on Phi-Divergence Measures
Authors:Nirian MartÍn  Leandro Pardo
Affiliation:1. Department of Statistics, Carlos III University, Madrid, Spainnirian.Martin@uc3m.es;3. Department of Statistics and O.R., Complutense University of Madrid, Madrid, Spain
Abstract:We consider the asymptotic distribution of divergence-based influence measures which are an extension for polytomous logistic regression of an influence measure proposed in Johnson (1985 Johnson, W.O. (1985). Influence measures for logistic regression: Another point of view. Biometrika 72: 5965.[Crossref], [Web of Science ®] [Google Scholar]), for binary logistic regression. A numerical example compares the classical Cook’s distance with the divergence based influence measures.
Keywords:Divergence measures  Cook’s distance  Polytomous regression model
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