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Nonparametric Estimation of a Bivariate Survival Function in the Presence of Censoring

Wei-Yann Tsai, Sue Leurgans, John Crowley

The Annals of Statistics · 1986 · Volume 14 · Issue 4

DOI: 10.1214/aos/1176350162

Abstract

A new family of estimators of a bivariate survival function based on censored vectors is obtained from a decomposition of the bivariate survival function. These estimators are uniformly consistent under bivariate censoring and are self-consistent under univariate censoring.

Keywords

62G05, 62P10, Decomposition, self-consistency, univariate and bivariate censored data

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