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Estimation of the Stress-Strength Reliability for Exponentiated Pareto Distribution Using median and ranked set sampling Methods

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Computers, Materials & Continua 2020年第8期64卷 835-857页

作者： Amer Ibrahim Al-Omari Ibrahim M.Almanjahie Amal S.Hassan Heba F.Nagy Department of Mathematics Faculty of ScienceAl al-Bayt UniversityMafraq25113Jordan Department of Mathematics College of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support Unit King Khalid UniversityAbha62529Saudi Arabia Faculty of Graduate Studies for Statistical Research Cairo UniversityGiza12613Egypt

In reliability analysis,the stress-strength model is often used to describe the life of a component which has a random strength(X)and is subjected to a random stress(Y).In this paper,we considered the problem of estimating the reliability𝑅𝑅=P[Yranked set sampling and median ranked set sampling *** different reliability estimators under median ranked set sampling are *** estimators are obtained when both strength and stress have an odd or an even set *** two other estimators are obtained when the strength has an odd size and the stress has an even set size and vice *** performances of the suggested estimators are compared with their competitors under simple random sample via a simulation *** simulation study revealed that the stress strength reliability estimates based on ranked set sampling and median ranked set sampling are more efficient than their competitors via simple random *** general,the stress strength reliability estimates based on median ranked set sampling are smaller than the corresponding estimates under ranked set sampling and simple random sample ***:Stress-Strength model,ranked set sampling,median ranked set sampling,maximum likelihood estimation,mean square *** estimates under ranked set sampling and simple random sample methods.

关键词： Stress-Strength model ranked set sampling median ranked set sampling maximum likelihood estimation mean square error

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