The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship

Yong Zhou; Liuquan Sun; Paul S.F. Yip

The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship

Yong Zhou^*
, Liuquan Sun
, Paul S.F. Yip

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.

源语言	英语
页（从-至）	X-237
期刊	Science in China, Series A: Mathematics
卷	42
期	3
出版状态	已出版 - 3月 1999
已对外发布	是

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引用此

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title = "The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship",

abstract = "The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.",

keywords = "Censorship, Cumulative hazard process, Law of the iterated logarithm (LIL), Oscillation modulus, Product-limit process",

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AU - Zhou, Yong

AU - Sun, Liuquan

AU - Yip, Paul S.F.

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N2 - The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.

AB - The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.

KW - Censorship

KW - Cumulative hazard process

KW - Law of the iterated logarithm (LIL)

KW - Oscillation modulus

KW - Product-limit process

UR - https://www.scopus.com/pages/publications/0043264839

M3 - 文章

AN - SCOPUS:0043264839

SN - 1006-9283

VL - 42

SP - X-237

JO - Science in China, Series A: Mathematics

JF - Science in China, Series A: Mathematics

IS - 3

ER -

The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship

摘要

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