The Central Limit Theorem Under Random Censorship

Winfried Stute

doi:10.1214/aos/1176324528

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Home > Journals > Ann. Statist. > Volume 23 > Issue 2 > Article

April, 1995 The Central Limit Theorem Under Random Censorship

Winfried Stute

Ann. Statist. 23(2): 422-439 (April, 1995). DOI: 10.1214/aos/1176324528

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Abstract

Let $\hat{F}_n$ be the Kaplan-Meier estimator of a distribution function $F$ computed from randomly censored data. We show that under optimal integrability assumptions on a function $\varphi$, the Kaplan-Meier integral $\int \varphi d\hat{F}_n$, when properly standardized, is asymptotically normal.

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Winfried Stute. "The Central Limit Theorem Under Random Censorship." Ann. Statist. 23 (2) 422 - 439, April, 1995. https://doi.org/10.1214/aos/1176324528