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Estimation of stress–strength reliability for inverse exponentiated distributions with application

Rani Kumari (Department of Mathematics, NIT Patna, Patna, India)
Chandrakant Lodhi (NeurIOT Technologies LLP, Gurgaon, India)
Yogesh Mani Tripathi (Department of Mathematics, IIT Patna, Patna, India)
Rajesh Kumar Sinha (Department of Mathematics, NIT Patna, Patna, India)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 29 September 2022

Issue publication date: 23 March 2023

121

Abstract

Purpose

Inferences for multicomponent reliability is derived for a family of inverted exponentiated densities having common scale and different shape parameters.

Design/methodology/approach

Different estimates for multicomponent reliability is derived from frequentist viewpoint. Two bootstrap confidence intervals of this parametric function are also constructed.

Findings

Form a Monte-Carlo simulation study, the authors find that estimates obtained from maximum product spacing and Right-tail Anderson–Darling procedures provide better point and interval estimates of the reliability. Also the maximum likelihood estimate competes good with these estimates.

Originality/value

In literature several distributions are introduced and studied in lifetime analysis. Among others, exponentiated distributions have found wide applications in such studies. In this regard the authors obtain various frequentist estimates for the multicomponent reliability by considering inverted exponentiated distributions.

Keywords

Acknowledgements

The authors thank reviewers and Editor for several insightful comments that have led to a substantial improvement of the paper.

Citation

Kumari, R., Lodhi, C., Tripathi, Y.M. and Sinha, R.K. (2023), "Estimation of stress–strength reliability for inverse exponentiated distributions with application", International Journal of Quality & Reliability Management, Vol. 40 No. 4, pp. 1036-1056. https://doi.org/10.1108/IJQRM-06-2021-0182

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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