The Annals of Statistics

A class of estimators of the survival function from interval-censored data

Joseph C. Gardiner and Zhiming Wang
Source: Ann. Statist. Volume 24, Number 2 (1996), 647-658.

Abstract

A model of interval censorship of a failure time T is considered when there is only one inspection time Y. The observable data are n independent copies of the pair $(Y, \delta)$, where $\delta = [T \leq Y]$. We construct a class of self-consistent estimators of the survival function of T defined implicitly through two equations and show their strong consistency under certain conditions. The properties of the onparametric maximum likelihood estimator are also investigated.

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Primary Subjects: 60G05
Secondary Subjects: 62G99
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aos/1032894457
Mathematical Reviews number (MathSciNet): MR1394980
Digital Object Identifier: doi:10.1214/aos/1032894457
Zentralblatt MATH identifier: 0856.62037

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The Annals of Statistics

The Annals of Statistics