A note on uniform consistency of the product-limit estimator with staggered entry

Kani Chen; Zhiliang Ying

doi:10.1016/s0167-7152(98)00217-x

A note on uniform consistency of the product-limit estimator with staggered entry

Kani Chen^*, Zhiliang Ying

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal Article › peer-review

Abstract

Consider the uniform consistency of the product-limit estimator of survival function with censored data and staggered entry. We show that the product-limit estimator is uniformly consistent over life time horizon at fixed calendar time points or over any region of large calendar times. However, unless with proper modifications, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.

Original language	English
Pages (from-to)	275-281
Number of pages	7
Journal	Statistics and Probability Letters
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/s0167-7152(98)00217-x
Publication status	Published - 15 Apr 1999

Keywords

Kaplan-Meier estimator
Primary 62E20
Secondary 62G30
Sequential entry
Tail behavior
Uniform consistency

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10.1016/s0167-7152(98)00217-x

Cite this

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title = "A note on uniform consistency of the product-limit estimator with staggered entry",

abstract = "Consider the uniform consistency of the product-limit estimator of survival function with censored data and staggered entry. We show that the product-limit estimator is uniformly consistent over life time horizon at fixed calendar time points or over any region of large calendar times. However, unless with proper modifications, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.",

keywords = "Kaplan-Meier estimator, Primary 62E20, Secondary 62G30, Sequential entry, Tail behavior, Uniform consistency",

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T1 - A note on uniform consistency of the product-limit estimator with staggered entry

AU - Chen, Kani

AU - Ying, Zhiliang

PY - 1999/4/15

Y1 - 1999/4/15

N2 - Consider the uniform consistency of the product-limit estimator of survival function with censored data and staggered entry. We show that the product-limit estimator is uniformly consistent over life time horizon at fixed calendar time points or over any region of large calendar times. However, unless with proper modifications, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.

AB - Consider the uniform consistency of the product-limit estimator of survival function with censored data and staggered entry. We show that the product-limit estimator is uniformly consistent over life time horizon at fixed calendar time points or over any region of large calendar times. However, unless with proper modifications, the product-limit estimator is not uniformly consistent jointly over calendar time and life time horizons.

KW - Kaplan-Meier estimator

KW - Primary 62E20

KW - Secondary 62G30

KW - Sequential entry

KW - Tail behavior

KW - Uniform consistency

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000079128100007

UR - https://openalex.org/W2058324837

UR - https://www.scopus.com/pages/publications/0043233829

U2 - 10.1016/s0167-7152(98)00217-x

DO - 10.1016/s0167-7152(98)00217-x

M3 - Journal Article

SN - 0167-7152

VL - 42

SP - 275

EP - 281

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

A note on uniform consistency of the product-limit estimator with staggered entry

Abstract

Keywords

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