The Kaplan–Meier estimator and hazard estimator for censored END survival time observations

Yongming Li; Yong Zhou

doi:10.1080/03610926.2019.1580737

The Kaplan–Meier estimator and hazard estimator for censored END survival time observations

Yongming Li^*
, Yong Zhou

^*此作品的通讯作者

统计学院

Shanghai University of Finance and Economics
Shangrao Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this paper, the survival function and hazard rate estimator by the Kaplan–Meier method are considered, where the survival times and censoring times are two sequences of extended negatively dependent. Under some suitable conditions, the uniform strong approximation rates for the survival function and hazard rate estimator are established with the rate O(n^-1/2 log^1/2n) a.s., also, their strong representations are obtained with a remainder O(n^-1/2 log^1/2n) a.s. Our results generalize and extend the corresponding ones in the related literatures.

源语言	英语
页（从-至）	2690-2702
页数	13
期刊	Communications in Statistics - Theory and Methods
卷	49
期	11
DOI	https://doi.org/10.1080/03610926.2019.1580737
出版状态	已出版 - 2 6月 2020

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title = "The Kaplan–Meier estimator and hazard estimator for censored END survival time observations",

abstract = "In this paper, the survival function and hazard rate estimator by the Kaplan–Meier method are considered, where the survival times and censoring times are two sequences of extended negatively dependent. Under some suitable conditions, the uniform strong approximation rates for the survival function and hazard rate estimator are established with the rate O(n-1/2 log1/2n) a.s., also, their strong representations are obtained with a remainder O(n-1/2 log1/2n) a.s. Our results generalize and extend the corresponding ones in the related literatures.",

keywords = "62G05, 62G20, Extended negatively dependent, Kaplan–Meier method, hazard rate, strong approximation, strong representation, survival function",

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T1 - The Kaplan–Meier estimator and hazard estimator for censored END survival time observations

AU - Li, Yongming

AU - Zhou, Yong

PY - 2020/6/2

Y1 - 2020/6/2

N2 - In this paper, the survival function and hazard rate estimator by the Kaplan–Meier method are considered, where the survival times and censoring times are two sequences of extended negatively dependent. Under some suitable conditions, the uniform strong approximation rates for the survival function and hazard rate estimator are established with the rate O(n-1/2 log1/2n) a.s., also, their strong representations are obtained with a remainder O(n-1/2 log1/2n) a.s. Our results generalize and extend the corresponding ones in the related literatures.

AB - In this paper, the survival function and hazard rate estimator by the Kaplan–Meier method are considered, where the survival times and censoring times are two sequences of extended negatively dependent. Under some suitable conditions, the uniform strong approximation rates for the survival function and hazard rate estimator are established with the rate O(n-1/2 log1/2n) a.s., also, their strong representations are obtained with a remainder O(n-1/2 log1/2n) a.s. Our results generalize and extend the corresponding ones in the related literatures.

KW - 62G05

KW - 62G20

KW - Extended negatively dependent

KW - Kaplan–Meier method

KW - hazard rate

KW - strong approximation

KW - strong representation

KW - survival function

UR - https://www.scopus.com/pages/publications/85063915309

U2 - 10.1080/03610926.2019.1580737

DO - 10.1080/03610926.2019.1580737

M3 - 文章

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SN - 0361-0926

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SP - 2690

EP - 2702

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 11

ER -

The Kaplan–Meier estimator and hazard estimator for censored END survival time observations

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