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Inference on Weibull inverted exponential distribution under progressive first-failure censoring with constant-stress partially accelerated life test

Author

Listed:
  • Abdullah Fathi

    (South Valley University)

  • Al-Wageh A. Farghal

    (Sohag University)

  • Ahmed A. Soliman

    (Sohag University)

Abstract

Accelerated life tests (ALTs) play a pivotal role in life testing experiments as they significantly reduce costs and testing time. Hence, this paper investigates the statistical inference issue for the Weibull inverted exponential distribution (WIED) under the progressive first-failure censoring (PFFC) data with the constant-stress partially ALT (CSPALT) under progressive first-failure censoring (PFFC) data for Weibull inverted exponential distribution (WIED). For classical inference, maximum likelihood (ML) estimates for both the parameters and the acceleration factor are derived. Making use of the Fisher information matrix (FIM), asymptotic confidence intervals (ACIs) are constructed for all parameters. Besides, two parametric bootstrap techniques are implemented. For Bayesian inference based on a proposed technique for eliciting the hyperparameters, the Markov chain Monte Carlo (MCMC) technique is provided to acquire Bayesian estimates. In this context, the Bayesian estimates are obtained under symmetric and asymmetric loss functions, and the corresponding credible intervals (CRIs) are constructed. A simulation study is carried out to assay the performance of the ML, bootstrap, and Bayesian estimates, as well as to compare the performance of the corresponding confidence intervals (CIs). Finally, real-life engineering data is analyzed for illustrative purposes.

Suggested Citation

  • Abdullah Fathi & Al-Wageh A. Farghal & Ahmed A. Soliman, 2024. "Inference on Weibull inverted exponential distribution under progressive first-failure censoring with constant-stress partially accelerated life test," Statistical Papers, Springer, vol. 65(8), pages 5021-5053, October.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:8:d:10.1007_s00362-024-01583-9
    DOI: 10.1007/s00362-024-01583-9
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    References listed on IDEAS

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    1. Amal S. Hassan & Said G. Nassr & Sukanta Pramanik & Sudhansu S. Maiti, 2020. "Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data," Annals of Data Science, Springer, vol. 7(1), pages 45-62, March.
    2. Wu, Shuo-Jye & Kus, Coskun, 2009. "On estimation based on progressive first-failure-censored sampling," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3659-3670, August.
    3. Amal S. Hassan & Said G. Nassr & Sukanta Pramanik & Sudhansu S. Maiti, 2020. "Correction to: Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data," Annals of Data Science, Springer, vol. 7(3), pages 547-547, September.
    4. Sukhdev Singh & Yogesh Tripathi, 2015. "Reliability sampling plans for a lognormal distribution under progressive first-failure censoring with cost constraint," Statistical Papers, Springer, vol. 56(3), pages 773-817, August.
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