Stress−strength reliability with general form distributions
Nahed A. Mokhlis,
Emad J. Ibrahim and
Dina M. Gharieb
Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 3, 1230-1246
Abstract:
In this article, we present characterizations, associated with the stress−strength reliability, of distributions with some general exponential and general inverse exponential forms. We obtain a general form for stress−strength reliability, when the distributions of the stress and the strength are non identical and independently distributed with either form. We obtain different point and interval estimators of stress−strength reliability. The theoretical results obtained can be directly applied whenever the distributions of the stress and the strength possess the forms discussed. A simulation study is carried out showing satisfactory performance of the estimators obtained. Moreover, a real data example is presented.
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:46:y:2017:i:3:p:1230-1246
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DOI: 10.1080/03610926.2015.1014110
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