Bayesian nonparametric inference on quantile residual life function: Application to breast cancer data

Taeyoung Park, Jong Hyeon Jeong, Jae Won Lee

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

There is often an interest in estimating a residual life function as a summary measure of survival data. For ease in presentation of the potential therapeutic effect of a new drug, investigators may summarize survival data in terms of the remaining life years of patients. Under heavy right censoring, however, some reasonably high quantiles (e.g., median) of a residual lifetime distribution cannot be always estimated via a popular nonparametric approach on the basis of the Kaplan-Meier estimator. To overcome the difficulties in dealing with heavily censored survival data, this paper develops a Bayesian nonparametric approach that takes advantage of a fully model-based but highly flexible probabilistic framework. We use a Dirichlet process mixture of Weibull distributions to avoid strong parametric assumptions on the unknown failure time distribution, making it possible to estimate any quantile residual life function under heavy censoring. Posterior computation through Markov chain Monte Carlo is straightforward and efficient because of conjugacy properties and partial collapse. We illustrate the proposed methods by using both simulated data and heavily censored survival data from a recent breast cancer clinical trial conducted by the National Surgical Adjuvant Breast and Bowel Project.

Original languageEnglish
Pages (from-to)1972-1985
Number of pages14
JournalStatistics in Medicine
Volume31
Issue number18
DOIs
Publication statusPublished - 2012 Aug 15

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Residual Life
Censored Survival Data
Nonparametric Inference
Bayesian Nonparametrics
Survival Data
Quantile
Breast Cancer
Mixture of Dirichlet Processes
Breast Neoplasms
Residual Lifetime
Kaplan-Meier Estimator
Right Censoring
Lifetime Distribution
Survival
Failure Time
Conjugacy
Weibull Distribution
Censoring
Markov Chain Monte Carlo
Clinical Trials

All Science Journal Classification (ASJC) codes

  • Epidemiology
  • Statistics and Probability

Cite this

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Bayesian nonparametric inference on quantile residual life function : Application to breast cancer data. / Park, Taeyoung; Jeong, Jong Hyeon; Lee, Jae Won.

In: Statistics in Medicine, Vol. 31, No. 18, 15.08.2012, p. 1972-1985.

Research output: Contribution to journalArticle

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