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September, 1982 Nonparametric Estimation in Renewal Processes
Y. Vardi
Ann. Statist. 10(3): 772-785 (September, 1982). DOI: 10.1214/aos/1176345870

Abstract

Data collected from many independent identically distributed renewal processes, each of which is observed for an arbitrary period of time, is usually affected by censoring coupled with length biased sampling. In this paper we derive an algorithm that produces the nonparametric maximum likelihood estimator (i.e., the analog of the single-sample empirical distribution function) of the common lifetime distribution, based on such data.

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Y. Vardi. "Nonparametric Estimation in Renewal Processes." Ann. Statist. 10 (3) 772 - 785, September, 1982. https://doi.org/10.1214/aos/1176345870

Information

Published: September, 1982
First available in Project Euclid: 12 April 2007

zbMATH: 0502.62036
MathSciNet: MR663431
Digital Object Identifier: 10.1214/aos/1176345870

Subjects:
Primary: 62G05
Secondary: 62E99 , 62M99 , 62P10

Keywords: Censored data , EM-algorithm , Empirical distribution function , Kaplan-Meier , length biasing , maximum likelihood , renewal theory , Survival analysis

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • September, 1982
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