title: Semiparametric Bayesian estimation of quantile function for breast cancer survival data with cured fraction.
abstract: Existing cure-rate survival models are generally not convenient for modeling and estimating the survival quantiles of a patient with specified covariate values. This paper proposes a novel class of cure-rate model, the transform-both-sides cure-rate model (TBSCRM), that can be used to make inferences about both the cure-rate and the survival quantiles. We develop the Bayesian inference about the covariate effects on the cure-rate as well as on the survival quantiles via Markov Chain Monte Carlo (MCMC) tools. We also show that the TBSCRM-based Bayesian method outperforms existing cure-rate models based methods in our simulation studies and in application to the breast cancer survival data from the National Cancer Institute's Surveillance, Epidemiology, and End Results (SEER) database.
authors.affiliation: Department of Statistics, Florida State Univeristy, Tallahassee, FL 32306, U S A. cgupta@stat.fsu.edu.
authors.forename: Cherry
authors.initials: C
authors.lastname: Gupta
authors.affiliation: Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Av. Trabalhador São-carlense, São Carlos 13566-590, Brazil.
authors.forename: Juliana
authors.initials: J
authors.lastname: Cobre
authors.affiliation: Department of Statistics, Federal University of São Carlos, São Paulo 13565-905, Brazil.
authors.forename: Adriano
authors.initials: A
authors.lastname: Polpo
authors.affiliation: Department of Statistics, Florida State Univeristy, Tallahassee, FL 32306, U S A.
authors.forename: Debjayoti
authors.initials: D
authors.lastname: Sinha
mesh_terms: D001499:Bayes Theorem; D001943:Breast Neoplasms / Q000453:epidemiology / Q000401:mortality*; D004812:Epidemiologic Methods; D005260:Female; D006801:Humans; D008390:Markov Chains; D015233:Models, Statistical; D009010:Monte Carlo Method; D054547:National Cancer Institute (U.S.); D016019:Survival Analysis; D014481:United States
keywords: Generalized Box-Cox; Markov Chain Monte Carlo; Transform both sides