THERMAL SCIENCE

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Li-Feng Shang

,

Zai-Zai Yan

ESTIMATION OF RELIABILITY IN MULTICOMPONENT STRESS-STRENGTH BASED ON EXPONENTIAL FRECHET DISTRIBUTIONS

ABSTRACT
When strength and stress variables follow the exponential Frechet distribution with different shape parameters and common scale parameters, the multicomponent stress-strength reliability model of an s-out-of-k system is studied in this paper. Based on samples from stress and strength distributions, the maximum likelihood estimation of the model parameters is obtained. The asymptotic confidence interval for the system reliability is also calculated. The comparison of the reliability estimates based on small sample is given by Monte-Carlo simulation.
KEYWORDS
stress-strength model, exponentiated Frechet distribution, maximum likelihood, reliability, confidence intervals
PAPER SUBMITTED: 2021-08-15
PAPER REVISED: 2022-07-20
PAPER ACCEPTED: 2022-07-21
PUBLISHED ONLINE: 2023-06-11
DOI REFERENCE: https://doi.org/10.2298/TSCI2303747S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 3, PAGES [1747 - 1754]
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Estimation of reliability in multicomponent stress-strength based on exponential Frechet distributions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence