Inference of multicomponent stress-strength reliability following Topp-Leone distribution using progressively censored data

Shubham Saini, Sachin Tomer and Renu Garg

Journal of Applied Statistics, 2023, vol. 50, issue 7, 1538-1567

Abstract: In this paper, the inference of multicomponent stress-strength reliability has been derived using progressively censored samples from Topp-Leone distribution. Both stress and strength variables are assumed to follow Topp-Leone distributions with different shape parameters. The maximum likelihood estimate along with the asymptotic confidence interval are developed. Boot-p and Boot-t confidence intervals are also constructed. The Bayes estimates under generalized entropy loss function based on gamma priors using Lindley's, Tierney-Kadane's approximation and Markov chain Monte Carlo methods are derived. A simulation study is considered to check the performance of various estimation methods and different censoring schemes. A real data study shows the applicability of the proposed estimation methods.

Date: 2023
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DOI: 10.1080/02664763.2022.2032621

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