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

收藏

页码：77 / 88

页数：12

相关论文

共 50 条

[21] Optimal interval estimation for a family of lower truncated distribution under progressive censoring [J].

Wang, Liang .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 287 :67-77

[22] Statistical inference of Burr-XII distribution under progressive Type-II censored competing risks data with binomial removals [J].

Qin, Xinyan ;

Gui, Wenhao .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 378

[23] Analyzing stress-strength reliability δ =P[U < V < W] : a Bayesian and frequentist perspective with Burr-XII distribution under progressive Type-II censoring [J].

Nayal, Amit Singh ;

Singh, Bhupendra ;

Tripathi, Vrijesh ;

Tyagi, Abhishek .

INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT, 2024, 15 (06) :2453-2472

[24] The exact hypothesis test for the shape parameter of a new two-parameter distribution with the bathtub shape or increasing failure rate function under progressive censoring with random removals [J].

Wu, Shu-Fei ;

Wu, Chin-Chuan ;

Lin, Huan-Min .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2009, 79 (08) :1015-1042

[25] Interval estimation of the two-parameter exponential constant stress accelerated life test model under Type-II censoring [J].

Wu, Wenhui ;

Wang, Bing Xing ;

Chen, Jiayan ;

Miao, Jiuzhou ;

Guan, Qingyuan .

QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2023, 20 (06) :751-762

[26] Entropy-based parameter estimation for extended Burr XII distribution [J].

Hao, Zengchao ;

Singh, Vijay P. .

STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2009, 23 (08) :1113-1122

[27] Entropy-based parameter estimation for extended Burr XII distribution [J].

Zengchao Hao ;

Vijay P. Singh .

Stochastic Environmental Research and Risk Assessment, 2009, 23 :1113-1122

[28] An algorithm for maximum likelihood estimation in the three parameter Burr XII distribution [J].

Watkins, AJ .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1999, 32 (01) :19-27

[29] Reliability estimation in a multicomponent stress-strength model for unit Burr III distribution under progressive censoring [J].

Singh, Devendra Pratap ;

Jha, Mayank Kumar ;

Tripathi, Yogesh ;

Wang, Liang .

QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2022, 19 (05) :605-632

[30] Estimation for the parameters of the Pareto distribution under progressive censoring [J].

Kus, Coskun ;

Kaya, Mehmet F. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2007, 36 (07) :1359-1365

← 1 2 3 4 5 →