Reliability Estimation for the Remained Stress-Strength Model under the Generalized Exponential Lifetime Distribution | Zendy

Mohammad Mehdi Saber | Zendy; M. M. Mohie El-Din | Zendy; Haitham M. Yousof | Zendy

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Reliability Estimation for the Remained Stress-Strength Model under the Generalized Exponential Lifetime Distribution

Author(s) -

Mohammad Mehdi Saber,

M. M. Mohie El-Din,

Haitham M. Yousof

Publication year - 2021

Publication title -

journal of probability and statistics

Language(s) - English

Resource type - Journals

eISSN - 1687-9538

pISSN - 1687-952X

DOI - 10.1155/2021/7363449

Subject(s) - estimator , reliability (semiconductor) , mathematics , exponential distribution , extension (predicate logic) , maximum likelihood , exponential function , stress (linguistics) , statistics , bayes estimator , bayesian probability , estimation , econometrics , mathematical optimization , computer science , engineering , mathematical analysis , power (physics) , physics , linguistics , philosophy , systems engineering , quantum mechanics , programming language

A stress-strength reliability model compares the strength and stresses on a certain system; it is used not only primarily in reliability engineering and quality control but also in economics, psychology, and medicine. In this paper, a novel extension of stress-strength models is presented. The mew model is applied under the generalized exponential distribution. The maximum likelihood estimator, asymptotic distribution, and Bayesian estimation are obtained. A comprehensive simulation study along with real data analysis is performed for illustrating the importance of the new stress-strength model.

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