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Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution

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  • Amal S. Hassan
  • Rasha S. Elshaarawy
  • Ronald Onyango
  • Heba F. Nagy
  • Nawab Hussain

Abstract

In this work, we show how to estimate stress strength (SS) reliability when the stress (Y) and strength (X) distributions are generalized exponentials with a common scale parameter. The SS reliability estimator is considered in view of neoteric ranked set sampling (NRSS) and median ranked set sampling (MRRS). We acquire an estimate of the reliability (R) when such samples of the stress and strength random variables are gathered using the same NRSS technique. Furthermore, the reliability estimator is derived when the stress distribution data are in the pattern of MRSS with just an odd/even set size and the strength distribution data are derived from NRSS and vice versa. The simulation results are used to evaluate and understand the adequacy of a variety of estimators for the suggested schemes. Based on our simulated results, we found that NRSS-based stress strength reliability estimates are more efficient than MRSS-based stress strength reliability estimates. The analysis of real-world data is used to implement the recommended estimators.

Suggested Citation

  • Amal S. Hassan & Rasha S. Elshaarawy & Ronald Onyango & Heba F. Nagy & Nawab Hussain, 2022. "Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-17, March.
    • Handle: RePEc:hin:jijmms:2608656
    DOI: 10.1155/2022/2608656
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    Cited by:

    1. Amal S. Hassan & Ibrahim M. Almanjahie & Amer Ibrahim Al-Omari & Loai Alzoubi & Heba Fathy Nagy, 2023. "Stress–Strength Modeling Using Median-Ranked Set Sampling: Estimation, Simulation, and Application," Mathematics, MDPI, vol. 11(2), pages 1-19, January.
    2. Hassan Amal S. & Elshaarawy Rasha S. & Nagy Heba F., 2022. "Parameter estimation of exponentiated exponential distribution under selective ranked set sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 37-58, December.
    3. Manal M. Yousef & Amal S. Hassan & Abdullah H. Al-Nefaie & Ehab M. Almetwally & Hisham M. Almongy, 2022. "Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling," Mathematics, MDPI, vol. 10(17), pages 1-26, August.

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