On system reliability estimation in stress-strength setup

AuthorsMohammad Khanjari Sadegh,Mohammad Khorashadizadeh
JournalJournal of Statistical Modelling: Theory and Applications (JSMTA)
Page number103-121
Serial number3
Volume number1
Paper TypeFull Paper
Published At2023
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of

Abstract

: In this paper, we consider the estimation of the stress-strength reliability of a coherent system. The distributions of stress and strength random variables are the members of a general class of distributions. For a series-parallel system, the reliability of the stress-strength model is estimated using the maximum likelihood estimation, asymptotic confidence interval, uniformly minimum variance unbiased estimation, and Bayes estimation. Also, simulation studies are performed, and two real data sets are analyzed.

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tags: Asymptotic confidence interval; Bayes estimation; Maximum likelihood estimation; Stress-strength reliability; Uniformly minimum variance unbiased estimation.