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 50 条

[31] Notes on maximum likelihood estimation for the three-parameter Burr XII distribution [J].

Shao, QX .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2004, 45 (03) :675-687

[32] Inference for the stress-strength reliability for the two-parameter Burr type X under Type I and Type II censoring [J].

Luo, Li ;

Surles, James G. .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (05) :1713-1718

[33] Theoretical Aspects for Bayesian Predictions Based on Three-Parameter Burr-XII Distribution and Its Applications in Climatic Data [J].

Hasaballah, Mustafa M. ;

Al-Babtain, Abdulhakim A. ;

Hossain, Md. Moyazzem ;

Bakr, Mahmoud E. .

SYMMETRY-BASEL, 2023, 15 (08)

[34] Statistical analysis of Burr-XII distribution under adaptive Type-II progressively hybrid censored scheme [J].

Yan W. ;

Yang H. ;

Zhou J. .

Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2020, 40 (05) :1339-1349

[35] Reliability Estimates of Burr XII Components Using Masked Data Under Progressive Type-II Censoring [J].

Chen, Mo ;

Shi, Yi-Min ;

Jin, Li .

Design, Manufacturing and Mechatronics, 2014, 551 :626-632

[36] Planning Life Tests for Burr XII Distributed Products Under Progressive Group-censoring with Cost Considerations [J].

Akdogan, Yunus ;

Kus, Coskun ;

Wu, Shuo-Jye .

GAZI UNIVERSITY JOURNAL OF SCIENCE, 2012, 25 (02) :425-434

[37] Statistical inference under joint type-II censored data from two Burr-XII populations [J].

Bargoshadi, Soheila Akbari ;

Bevrani, Hossein ;

Belaghi, Reza Arabi .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (12) :6305-6325

[38] Inference of P(X > Y) for the Burr-XII model under generalized progressive hybrid censored data with binomial removals [J].

Cetinkaya, Cagatay .

CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE, 2023, 35 (07)

[39] Bayes Statistical Analysis of Burr XII Distribution in Random Censoring Life Test [J].

Zhou, Jie ;

He, Xingshi .

PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON QUALITY, RELIABILITY, RISK, MAINTENANCE, AND SAFETY ENGINEERING (QR2MSE), VOLS I-IV, 2013, :1189-1192

[40] Estimation of the Burr XII-exponential Distribution Parameters [J].

Yari, Gholamhossein ;

Tondpour, Zahra .

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (01) :47-66

← 1 2 3 4 5 →