Asymptotic development for an extension of Cox regression model

• Grant number: 07/07012-3
• Support Opportunities: Scholarships abroad - Research
• Start date: January 20, 2008
• End date: February 17, 2008
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Antonio Carlos Pedroso de Lima
• Grantee: Antonio Carlos Pedroso de Lima
• Host Investigator: Pranab Kumar Sen
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: University of North Carolina at Chapel Hill (UNC), United States

Abstract

The methods considered in Survival Analysis have been extended in several ways. In this study, we consider the association of some of those methods with information related to the Quality of life of patients. Such scenario brings up the modeling considering multistate models that make use of (Semi) Markov chains. Some assumptions have been considered in ealier works to deal with such situation. Heterogeneity of the population is modeled by considering a Cox type of model. In this work we try to relax some of these assumptions related to independence and identically distributed sojourn times. (AU)