A note on oscillation modulus of PL-process and its applications under random censorship

Yong Zhou

doi:10.1016/s0252-9602(17)30219-9

A note on oscillation modulus of PL-process and its applications under random censorship

Yong Zhou^*

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

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

Abstract

The strong limit results of oscillation modulus of PL-process are established in this paper when the density function is not continuous function for censored data. The rates of convergence of oscillation modulus of PL-process are sharp under week condition. These results can be used to derive laws of the iterated logarithm of random bandwidth kernel estimator and nearest neighborhood estimator of density under continuous conditions of density function being not assumed.

Original language	English
Pages (from-to)	155-164
Number of pages	10
Journal	Acta Mathematica Scientia
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/s0252-9602(17)30219-9
State	Published - Apr 2003
Externally published	Yes

Keywords

Censorship
Kernel estimator
Nearest neighborhood estimator
Product-limit (PL) estimator
Random bandwidth

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10.1016/s0252-9602(17)30219-9

Cite this

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abstract = "The strong limit results of oscillation modulus of PL-process are established in this paper when the density function is not continuous function for censored data. The rates of convergence of oscillation modulus of PL-process are sharp under week condition. These results can be used to derive laws of the iterated logarithm of random bandwidth kernel estimator and nearest neighborhood estimator of density under continuous conditions of density function being not assumed.",

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AB - The strong limit results of oscillation modulus of PL-process are established in this paper when the density function is not continuous function for censored data. The rates of convergence of oscillation modulus of PL-process are sharp under week condition. These results can be used to derive laws of the iterated logarithm of random bandwidth kernel estimator and nearest neighborhood estimator of density under continuous conditions of density function being not assumed.

KW - Censorship

KW - Kernel estimator

KW - Nearest neighborhood estimator

KW - Product-limit (PL) estimator

KW - Random bandwidth

UR - https://www.scopus.com/pages/publications/27744444022

U2 - 10.1016/s0252-9602(17)30219-9

DO - 10.1016/s0252-9602(17)30219-9

M3 - 文章

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VL - 23

SP - 155

EP - 164

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 2

ER -

A note on oscillation modulus of PL-process and its applications under random censorship

Abstract

Keywords

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