Bayesian Estimation for Inverse Weibull Distribution under Progressive Type-II Censored Data with Beta-Binomial Removals

被引：7

作者：

Vishwakarma, Pradeep K. ^{[1
]}

Kaushik, Arun ^{[1
]}

Pandey, Aakriti ^{[1
]}

Singh, Umesh ^{[1
]}

Singh, Sanjay K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Stat, Varanasi 221005, Uttar Pradesh, India

来源：

AUSTRIAN JOURNAL OF STATISTICS | 2018年 / 47卷 / 01期

关键词：

inverse Weibull distribution; progressive type-II censoring; beta-binomial removals; maximum likelihood estimates Bayes estimates; MCMC technique;

D O I：

10.17713/ajs.v47i1.578

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 paper deals with the estimation procedure for inverse Weibull distribution under progressive type-II censored samples when removals follow Beta-binomial probability law. To estimate the unknown parameters, the maximum likelihood and Bayes estimators are obtained under progressive censoring scheme mentioned above. Bayes estimates are obtained using Markov chain Monte Carlo (MCMC) technique considering square error loss function and compared with the corresponding MLE's. Further, the expected total time on test is obtained under considered censoring scheme. Finally, a real data set has been analysed to check the validity of the study.

引用

页码：77 / 94

页数：18

共 50 条

[31] Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals
Tse, SK
Yang, CY
Yuen, HK
Yuen, K
JOURNAL OF APPLIED STATISTICS, 2000, 27 (08) : 1033 - 1043
[32] Entropy Estimation of Inverse Weibull Distribution under Adaptive Type-II Progressive Hybrid Censoring Schemes
Xu, Rong
Gui, Wenhao
SYMMETRY-BASEL, 2019, 11 (12):
[33] On Estimation of Type-II Progressive Censored Erlang Distribution
Kazmi, Syed Mohsin Ali
Aslam, Muhammad
JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS, 2022, 23 (02) : 565 - 584
[34] On Estimation of Type-II Progressive Censored Erlang Distribution
Syed Mohsin Ali Kazmi
Muhammad Aslam
Journal of the Indian Society for Probability and Statistics, 2022, 23 : 565 - 584
[35] Bayesian inference for Poisson-inverse exponential distribution under progressive type-II censoring with binomial removal
Kumar M.
Singh S.K.
Singh U.
International Journal of System Assurance Engineering and Management, 2018, 9 (6) : 1235 - 1249
[36] Parameter estimations based on exponential progressive type II censored data with binomial removals
Wu, Shuo-Jye
Chang, Chun-Tao
International Journal of Information and Management Sciences, 2002, 13 (03): : 37 - 46
[37] Some Further Properties and Bayesian Inference for Inverse xgamma Distribution Under Progressive Type-II Censored Scheme
Yadav A.S.
Sen S.
Maiti S.S.
Saha M.
Shukla S.
Annals of Data Science, 2023, 10 (02) : 455 - 479
[38] Statistical inferences for new Weibull-Pareto distribution under an adaptive type-ii progressive censored data
El-Sagheer, Rashad M.
Mahmoud, Mohamed A. W.
Abdallah, Samah H. M.
JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2018, 21 (06): : 1021 - 1057
[39] Accelerated life test for Pareto distribution under progressive type-II censored competing risks data with binomial removals and its application in electrode insulation system
Du, Yuge
Zhang, Chunmei
Gui, Wenhao
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024, 53 (11) : 5265 - 5289
[40] Estimation of R = P[Y < X < Z] under Progressive Type-II Censored Data from Weibull Distribution
Choudhary, Neha
Tyagi, Abhishek
Singh, Bhupendra
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (02) : 318 - 335

← 1 2 3 4 5 →