Reliability estimation in a multicomponent stress-strength model for unit Burr III distribution under progressive censoring. Issue 5 (3rd September 2022)

• Record Type: Journal Article
• Authors: Singh, Devendra Pratap; Jha, Mayank Kumar; Tripathi, Yogesh; Wang, Liang
• Is Part Of: Quality technology & quantitative management. Volume 19:Issue 5(2022)
• Page Start: 605
• Page End: 632
• Publication Date: 2022-09-03
• Subjects: Bayes estimate -- maximum-likelihood estimate -- multicomponent reliability -- progressive censoring -- moments -- uniformly minimum variance unbiased estimator; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2022.2049508
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: We study the problem of estimating multicomponent stress-strength reliability under progressive Type II censoring when stress and strength variables follow unit Burr III distributions with a common shape parameter. Point and interval estimates of this parametric function are derived using both classical and Bayesian approaches. Different approximation methods are used to obtain Bayes estimates. In particular, uniformly minimum variance unbiased estimate of the reliability is discussed when the common shape parameter is known. Monte Carlo simulations are performed to compare proposed methods. Finally, we provide two numerical examples for illustration purposes.