Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications

Liuquan Sun; Yong Zhou

doi:10.1007/bf02650667

Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications

Liuquan Sun, Yong Zhou

Chinese Academy of Sciences

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

Abstract

In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.

Original language	English
Pages (from-to)	235-244
Number of pages	10
Journal	Acta Mathematica Sinica, English Series
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/bf02650667
State	Published - 1999
Externally published	Yes

Keywords

Cumulative hazard process
Kernel estimator
Oscillation modulus
PL-process
Truncation and censorship

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10.1007/bf02650667

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title = "Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications",

abstract = "In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.",

keywords = "Cumulative hazard process, Kernel estimator, Oscillation modulus, PL-process, Truncation and censorship",

author = "Liuquan Sun and Yong Zhou",

year = "1999",

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language = "英语",

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T1 - Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications

AU - Sun, Liuquan

AU - Zhou, Yong

PY - 1999

Y1 - 1999

N2 - In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.

AB - In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived.

KW - Cumulative hazard process

KW - Kernel estimator

KW - Oscillation modulus

KW - PL-process

KW - Truncation and censorship

UR - https://www.scopus.com/pages/publications/0347747870

U2 - 10.1007/bf02650667

DO - 10.1007/bf02650667

M3 - 文章

AN - SCOPUS:0347747870

SN - 1439-8516

VL - 15

SP - 235

EP - 244

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

Strong Limit Theorems for Oscillation Moduli of PL-Process and Cumulative Hazard Process under Truncation and Censorship with Applications

Abstract

Keywords

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