Strong Gaussian approximations in the left truncated and right censored model

被引：0

作者：

Tse, S ^{[1
]}

机构：

[1] Natl Donghua Univ, Dept Math Appl, Hualien, Taiwan

来源：

STATISTICA SINICA | 2003年 / 13卷 / 01期

关键词：

cumulative hazard; left truncation; Gaussian approximations; right censorship; product-limit;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we consider the Tsai-Jewel-Wang estimator F-n(0)(x) of an unknown distribution function F-0 when the data are subject to random left truncation and right censorship. Strong Gaussian approximations of the product-limit process rootn[F-n(0)(x) - F-0(x)] are constructed with rate 0((log n)(3/2)/n(1/8)). A functional law of the iterated logarithm for the maximal deviation of the estimator from the estimand is derived from the construction.

引用

页码：275 / 282

页数：8

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