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Convergence of the Kaplan-Meier estimator in weighted sup-norms

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  • Stute, Winfried

Abstract

We show that the Kaplan-Meier estimator of a survival function is consistent under weighted sup-norms for a large class of weight functions. The method of proof incorporates a new SLLN and a CLT for Kaplan-Meier integrals.

Suggested Citation

  • Stute, Winfried, 1994. "Convergence of the Kaplan-Meier estimator in weighted sup-norms," Statistics & Probability Letters, Elsevier, vol. 20(3), pages 219-223, June.
    • Handle: RePEc:eee:stapro:v:20:y:1994:i:3:p:219-223
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    Cited by:

    1. Cai, Zongwu & Roussas, George G., 1998. "Kaplan-Meier Estimator under Association," Journal of Multivariate Analysis, Elsevier, vol. 67(2), pages 318-348, November.
    2. Yi Wu & Wei Yu & Xuejun Wang, 2022. "Strong representations of the Kaplan–Meier estimator and hazard estimator with censored widely orthant dependent data," Computational Statistics, Springer, vol. 37(1), pages 383-402, March.

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