Abstract #300446

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JSM 2002 Abstract #300446
Activity Number: 390
Type: Invited
Date/Time: Thursday, August 15, 2002 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #300446
Title: Empirical Likelihood Methods for Analysis of Survival Data
Author(s): Gang Li*+
Affiliation(s): University of California, Los Angeles
Address: School of Public Health, Los Angeles, California, 90095-1772,

This talk reviews some nonparametric likelihood ratio methods for the analysis of right-censored and/or left-truncated survival data. The focus is on a new likelihood ratio method for nonparametric survival regression. Let (X,Y) be a random vector, where Y denotes the variable of interest possibly subject to random right censoring, and X is a covariate. We construct confidence intervals and bands for the conditional survival and quantile functions of Y given X using a nonparametric likelihood ratio approach. To address a related issue on bandwidth selection, we propose a procedure based on minimization of an estimated coverage probability error. Asymptotic results for the confidence intervals and bands will be given, as well as numerical results, in which the likelihood ratio intervals and bands demonstrate superior performance to the traditional normal approximation method. This talk is partly based on joint work with Ingrid Van Keilegom.

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