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

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  • Mohammad Mehdi Saber
  • Marwa M. Mohie El-Din
  • Haitham M. Yousof

Abstract

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.

Suggested Citation

  • Mohammad Mehdi Saber & Marwa M. Mohie El-Din & Haitham M. Yousof, 2021. "Reliability Estimation for the Remained Stress-Strength Model under the Generalized Exponential Lifetime Distribution," Journal of Probability and Statistics, Hindawi, vol. 2021, pages 1-10, December.
    • Handle: RePEc:hin:jnljps:7363449
    DOI: 10.1155/2021/7363449
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