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

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  • Shubham Saini
  • Sachin Tomer
  • Renu Garg

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.

Suggested Citation

  • Shubham Saini & Sachin Tomer & Renu Garg, 2023. "Inference of multicomponent stress-strength reliability following Topp-Leone distribution using progressively censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 50(7), pages 1538-1567, May.
    • Handle: RePEc:taf:japsta:v:50:y:2023:i:7:p:1538-1567
    DOI: 10.1080/02664763.2022.2032621
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    Cited by:

    1. V. K. Rathaur & N. Chandra & Parmeet Kumar Vinit, 2024. "On Bayesian estimation of stress–strength reliability in multicomponent system for two-parameter gamma distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(8), pages 3817-3832, August.

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