"Asymptotic properties of Kaplan-Meier estimator for censored dependent" by Zongwu Cai
 

Asymptotic properties of Kaplan-Meier estimator for censored dependent data

Abstract

In some long term studies, a series of dependent and possibly censored failure times may be observed. Suppose that the failure times have a common marginal distribution function, and inferences about it are of interest to us. The main result of this paper is that, under certain regularity conditions, the Kaplan-Meier estimator can be expressed as the mean of random variables, with a remainder of some order. In addition, the asymptotic normality of the Kaplan-Meier estimator is derived.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/s0167-7152(97)00141-7

Keywords

Asymptotic normality, Censored dependent data, Kaplan-Meier estimator, Strong representation, α-mixing

Publication Date

3-30-1998

Journal Title

Statistics and Probability Letters

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