JSM 2011 Online Program

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Abstract Details

Activity Number: 237
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301026
Title: A New Nonparametric Estimator of a Survival Function
Author(s): Ganesh B. Malla*+ and Hari G. Mukerjee
Companies: Xavier University and Wichita State University
Address: 8004 Higgins Ct, Cincinnati, OH, 45242, USA
Keywords: Piecewise exponential estimator ; Kaplan-Meier estimator ; Survival function ; Hazard rate

In 1983, Kitchin, Langberg and Proschan introduced a piecewise exponential estimator (PEXE) of a survival function (SF) for censored data. It provides a continuous estimator of the SF as well as a new method of handling the censoring. This PEXE has had limited usage possibly because the estimator is undefined beyond the last bservation even in the uncensored case. We propose a new PEXE that retains the spirit of the Kaplan-Meier estimator and provides an exponential tail with a hazard rate determined by a novel nonparametric consideration. A comparison, by simulation, of the model with other models has been considered.

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