Estimation of System Reliability Based on Inverted Exponentiated Pareto Distribution Under a Progressively First-Failure Censored Scheme With Application
- Title
- Estimation of System Reliability Based on Inverted Exponentiated Pareto Distribution Under a Progressively First-Failure Censored Scheme With Application
- Creator
- Kumar, Kapil; Kumari, Anita; Ghosh, Indranil
- Description
- This article explores and derives the estimation of the multicomponent stressstrength (MSS) reliability parameter, assuming that the samples are coming from the inverted exponentiated Pareto distribution using a progressively first-failure censored scheme. To estimate the MSS reliability, both classical and Bayesian approaches are adopted. In the classical approach, the maximum likelihood and the asymptotic confidence interval estimation methods are used. The Bayes estimates with their corresponding highest posterior density credible interval estimates are obtained under the Bayesian approach, under the linear exponential loss function under both the noninformative and gamma informative priors. In addition, to compute the Bayes estimates, Markov chain Monte Carlo methods are used. To compare the efficacy of the different estimation strategies adopted in this paper, a Monte Carlo simulation study is carried out. To demonstrate the applicability of the proposed methodology, two real-life scenarios resulting/arising from two different carbon fiber data sets arere-analyzed. 2025 The Author(s). Quality and Reliability Engineering International published by John Wiley & Sons Ltd.
- Source
- Quality and Reliability Engineering International;Volume;41;Issue;7;pp.3197-3219
- Date
- 01-01-2025
- Publisher
- John Wiley and Sons Ltd
- Subject
- inverted exponentiated Pareto distribution; Monte Carlo simulation; multicomponent stressstrength reliability; progressive first-failure censoring
- Coverage
- Kumar K., Department of Statistics, Chaudhary Charan Singh University, Meerut, India; Kumari A., Department of Statistics & Data Science, School of Sciences, Christ University, Ghaziabad, India; Ghosh I., Department of Mathematics and Statistics, University of North Carolina, Wilmington, NC, United States
- Rights
- All Open Access; Hybrid Gold Open Access
- Relation
- ISSN: 7488017; CODEN: QREIE
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Kumar, Kapil; Kumari, Anita; Ghosh, Indranil, “Estimation of System Reliability Based on Inverted Exponentiated Pareto Distribution Under a Progressively First-Failure Censored Scheme With Application,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21808.