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Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme

Author

Listed:
  • Abdalla Rabie
  • Eslam Hussam
  • Abdisalam Hassan Muse
  • Ramy Abdelhamid Aldallal
  • Amirah Saeed Alharthi
  • Hassan M. Aljohani
  • Melike Kaplan

Abstract

The constant-stress partially accelerated life test (CSPALT) model with Type-II hybrid censoring scheme (Type-II HCS) is the subject of our research. Units have a lifetime that follows the generalized Rayleigh distribution. Bayesian and E-Bayesian estimates are derived by applying two of the loss functions, mainly the squared error loss (SEL) and LINEX loss functions. Bayesian and E-Bayesian estimates are obtained using Markov chain Monte Carlo (MCMC) methods. To prove the applicability and the importance of the subject, a test for real data will be provided. To evaluate the distribution’s effectiveness, we utilized a variety of datasets and proposed several kinds of censoring. Finally, all results are compared in order to determine the effectiveness of the proposed methods. All major findings are concluded in the conclusion section.

Suggested Citation

  • Abdalla Rabie & Eslam Hussam & Abdisalam Hassan Muse & Ramy Abdelhamid Aldallal & Amirah Saeed Alharthi & Hassan M. Aljohani & Melike Kaplan, 2022. "Estimations in a Constant-Stress Partially Accelerated Life Test for Generalized Rayleigh Distribution under Type-II Hybrid Censoring Scheme," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, April.
  • Handle: RePEc:hin:jjmath:6307435
    DOI: 10.1155/2022/6307435
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    Cited by:

    1. Weihua Shi & Wenhao Gui, 2024. "Reliability analysis of bathtub-shaped distribution using empirical Bayesian and E-Bayesian estimations under progressive Type-II censoring," Journal of Risk and Reliability, , vol. 238(3), pages 604-621, June.

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