Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring

被引：58

作者：

Wu, Shuo-Jye ^{[1
]}

机构：

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

来源：

JOURNAL OF APPLIED STATISTICS | 2008年 / 35卷 / 10期

关键词：

confidence interval; hazard function; joint confidence region; maximum likelihood estimator; pivot; progressive type-II censoring;

D O I：

10.1080/02664760802264996

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 investigate the estimation problem concerning a progressively type-II censored sample from the two-parameter bathtub-shaped lifetime distribution. We use the maximum likelihood method to obtain the point estimators of the parameters. We also provide a method for constructing an exact confidence interval and an exact joint confidence region for the parameters. Two numerical examples are presented to illustrate the method of inference developed here. Finally, Monte Carlo simulation studies are used to assess the performance of our proposed method.

引用

页码：1139 / 1150

页数：12

共 29 条

[21] BATHTUB DISTRIBUTIONS - A REVIEW [J].

RAJARSHI, S ;

RAJARSHI, MB .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1988, 17 (08) :2597-2621

[22] EXPONENTIAL POWER LIFE-TESTING DISTRIBUTION [J].

SMITH, RM ;

BAIN, LJ .

COMMUNICATIONS IN STATISTICS, 1975, 4 (05) :469-481

[23] LINEAR ORDER STATISTIC ESTIMATION FOR 2-PARAMETER WEIBULL AND EXTREME-VALUE DISTRIBUTIONS FROM TYPE-II PROGRESSIVELY CENSORED SAMPLES [J].

THOMAS, DR ;

WILSON, WM .

TECHNOMETRICS, 1972, 14 (03) :679-&

[24] A new model with bathtub-shaped failure rate using an additive Burr XII distribution [J].

Wang, FK .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2000, 70 (03) :305-312

[25] SIMULTANEOUSLY ESTIMATING THE 3 WEIBULL PARAMETERS FROM PROGRESSIVELY CENSORED SAMPLES [J].

WONG, JY .

MICROELECTRONICS AND RELIABILITY, 1993, 33 (15) :2217-2224

[26] Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution [J].

Wu, JW ;

Lu, HL ;

Chen, CH ;

Wu, CH .

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2004, 20 (06) :607-616

[27] Inference in the Pareto distribution based on progressive Type II censoring with random removals [J].

Wu, SJ ;

Chang, CT .

JOURNAL OF APPLIED STATISTICS, 2003, 30 (02) :163-172

[28] A modified Weibull extension with bathtub-shaped failure rate function [J].

Xie, M ;

Tang, Y ;

Goh, TN .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2002, 76 (03) :279-285

[29] Parameters estimation for Weibull distributed lifetimes under progressive censoring with random removals [J].

Yuen, HK ;

Tse, SK .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1996, 55 (1-2) :57-71

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