Optimal parameter estimation of the two-parameter bathtub-shaped lifetime distribution based on a type II right censored sample

被引：9

作者：

Wu, JW ^{[1
]}

Wu, CC ^{[1
]}

Tsai, MH ^{[1
]}

机构：

[1] Tamkang Univ, Dept Stat, Tamsui 25137, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 167卷 / 02期

关键词：

bathtub-shaped; failure rate function; confidence interval; joint confidence region; censored sample;

D O I：

10.1016/j.amc.2004.06.133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes different types of exact (or approximate) confidence intervals and exact (or approximate) joint confidence regions for the parameters of the two-parameter lifetime distribution with bathtub-shaped or increasing failure rate (IFR) function based on a type II right censored sample. Moreover, we provide optimal criteria for finding a best exact (or approximate) confidence interval and a best exact (or approximate) joint confidence region among these estimations. Two examples are used to compare our proposed method to the existing approach of [Statistics & Probability Letters 49 (2000) 155]. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：807 / 819

页数：13

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