Inference for reliability in a multicomponent stress-strength model from generalized inverted exponential lifetime distribution under progressive first failure censoring. Issue 6 (13th April 2023)

• Record Type: Journal Article
• Authors: Kumari, Anita; Kumar, Shrawan; Kumar, Kapil
• Is Part Of: Journal of statistical computation and simulation. Volume 93:Issue 6(2023)
• Page Start: 863
• Page End: 887
• Publication Date: 2023-04-13
• Subjects: Generalized inverted exponential lifetime distribution -- multicomponent stress-strength -- progressive first failure censoring -- maximum likelihood estimation -- Bayesian estimation; 62N05 -- 62F10 -- 62N02 -- 62F15; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2022.2122970
• Languages: English
• ISSNs: 0094-9655

Abstract

Abstract : This article considers the non-Bayesian and Bayesian estimation procedures for multicomponent stress-strength reliability (MSSR) from generalized inverted exponential lifetime distributions using a progressively first failure censoring scheme. For the non-Bayesian estimation method of MSSR, the maximum likelihood estimation method is used, and for the Bayesian estimation method, the Metropolis-Hastings algorithm is taken into account. Also, the highest posterior density credible interval and the asymptotic confidence interval for MSSR in the case of Bayesian and non-Bayesian estimation methods, respectively, are obtained. A Monte Carlo numerical study is conducted to compare different types of estimates. For illustrative purposes, a real data analysis is carried out.