ItemArticle

Reliability estimation of multicomponent stressstrength system with non-identical strength components based on generalized inverted exponential distribution

Title
Reliability estimation of multicomponent stressstrength system with non-identical strength components based on generalized inverted exponential distribution
Creator
Kumari, Maya; Garg, Renu; Sahoo, Ranjan Kumar; Kumari, Anita
Description
This research article estimates the reliability of s-out-of-k multicomponent systems subjected to common stress, where the strength components are non-identical and independently distributed. In practical scenarios, it is often unrealistic to assume that all strength components of a system are identical. To address this problem, we estimate the reliability of multicomponent stress strength (MSS) systems under the assumption of non-identical strength components and a common stress component, following independent generalized inverted exponential distributions. The estimation of MSS reliability is performed using both classical and Bayesian approaches. In the classical framework, the maximum likelihood estimation method is employed for point estimation, while asymptotic confidence intervals are constructed for interval estimation. In the Bayesian framework, point and interval estimates are obtained using TierneyKadanes approximation and Markov chain Monte Carlo techniques under an asymmetric loss function, as the Bayes estimator does not have a closed-form expression. A comprehensive numerical simulation study is conducted to compare the performance of the various estimators developed. Finally, the proposed methodologies are illustrated using a real-life dataset, showcasing their practical applicability and effectiveness. From the numerical studies, it is found that the MSEs for the classical and Bayes estimates are less than 0.010, and the coverage probabilities of the interval estimates attain their nominal level of significance, i.e. 95% in most of the cases. The Author(s), under exclusive licence to Springer Nature B.V. 2025.
Source
Quality and Quantity;
Date
01-01-2025
Publisher
Springer Science and Business Media B.V.
Subject
Bayesian estimation; Generalized inverted exponential distribution; Maximum likelihood estimation; Monte Carlo simulation; Multicomponent stress strength reliability
Coverage
Kumari M., Department of Statistics, Central University of Haryana, Mahendergarh, 123031, India; Garg R., Department of Statistics, Ramanujan College, Delhi, 110019, India; Sahoo R.K., Department of Statistics, Central University of Haryana, Mahendergarh, 123031, India; Kumari A., Department of Statistics and Data Science, Christ University, Bengaluru, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 335177;
Format
online
Language
English
Type
Article

Citation

Kumari, Maya; Garg, Renu; Sahoo, Ranjan Kumar; Kumari, Anita, “Reliability estimation of multicomponent stressstrength system with non-identical strength components based on generalized inverted exponential distribution,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21947.

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