Divergence measures and logistic regression models
- Palacios Latasa, Manuel Pedro (coord.)
- Trujillo, David (coord.)
- Torrens Iñigo, Juan José (coord.)
- Madaune-Tort, Monique (coord.)
- López de Silanes Busto, María Cruz (coord.)
- Sanz Sáiz, Gerardo (coord.)
Editorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza
ISBN: 84-7733-720-9
Año de publicación: 2003
Páginas: 415-423
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (8. 2003. Jaca)
Tipo: Aportación congreso
Resumen
In this paper we present a review of some results about inference based on f-divergence measures, under assumptions of logistic regression model . The minimum f-divergence estimator, which is seen to be a generalization of the maximum likelihood estimator is considered. This estimator is used in a f-divergence measure which is the basis of new statistics for solving some important problems regarding logistic regression models: fitting the logistic regression model, residuals and dimensional reduction. Finally, an extension is presented when we consider a multinomial response instead a binary response.