Interval estimation of a two-parameter Burr-XII distribution under progressive censoring

被引：12

作者：

Wu, Shu-Fei ^{[1
]}

Wu, Chin-Chuan ^{[1
]}

Chen, Yung-Lin ^{[1
]}

Yu, Yuh-Ru ^{[2
]}

Lin, Ying Po ^{[2
]}

机构：

[1] Tamkang Univ, Dept Stat, Taipei 251, Taiwan

[2] Tamkang Univ, Grad Inst Management Sci, Taipei 251, Taiwan

来源：

STATISTICS | 2010年 / 44卷 / 01期

关键词：

Burr-XII distribution; Type II censoring; progressive censoring;

D O I：

10.1080/02331880902757922

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：

This study considers the estimation of a two-parameter Burr-XII distribution under Type II progressive censoring. Several pivotal quantities are proposed to construct the confidence interval for the shape parameter and the confidence region for two parameters. A biometrical example is given to illustrate the proposed confidence intervals or confidence regions. The criteria of minimum confidence length and minimum confidence area are used to obtain the optimal estimation. At last, a simulation study is done to compare the performances of all proposed pivotal quantities.

引用

页码：77 / 88

页数：12

共 11 条

[1]

[Anonymous], 2002, Statistical Models and Methods for Lifetime Data

[2]

Balakrishnan Narayanaswamy, 2000, Progressive censoring: theory, methods, and applications

[3] PROGRESSIVELY CENSORED SAMPLES IN LIFE TESTING [J].