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Abstract Details

Activity Number: 136
Type: Contributed
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #305675
Title: Analysis of Survival Data with a Cure Fraction Under Generalized Extreme Value Distribution
Author(s): Fangfang Liu*+
Companies: Iowa State University
Address: 2711 Ferndale, Ames, IA, 50010, United States
Keywords: Cure rate model ; Surviving fraction ; Generalized extreme value distribution ; Posterior distribution ; Bayesian
Abstract:

This paper introduces generalized extreme value(GEV) distribution to analyze right-censored survival data for populations with a surviving fraction. Our proposed GEV model leads to extremely flexible hazard functions. We show that our Bayesian model has several nice properties. For example, we prove that even when improper priors are used, the resulting posterior could still be proper under some weak conditions. We further provide theoretical and numerical results showing that our GEV models offer a richer class of models than the widely used Weibull models. Finally, a melanoma dataset is analyzed to illustrate the proposed GEV model.


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