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Estimation in Constant Stress Partially Accelerated Life Tests for Weibull Distribution Based on Censored Competing Risks Data

Author

Listed:
  • Amal S. Hassan

    (Cairo University)

  • Said G. Nassr

    (Sinai University)

  • Sukanta Pramanik

    (North Bengal University)

  • Sudhansu S. Maiti

    (Visva-Bharati University)

Abstract

This article deals with the constant–stress partially accelerated life test using type I and type II censored data in the presence of competing failure causes. Suppose that the occurrence time of the failure cause follows Weibull distribution. Maximum likelihood technique is employed to estimate the population parameters of the distribution. The performance of the theoretical estimators of the parameters are evaluated and investigated by using a simulation algorithm.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:1:d:10.1007_s40745-019-00226-3
    DOI: 10.1007/s40745-019-00226-3
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    References listed on IDEAS

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    1. Abdel-Hamid, Alaa H., 2009. "Constant-partially accelerated life tests for Burr type-XII distribution with progressive type-II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2511-2523, May.
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    Cited by:

    1. Amal S. Hassan & Rana M. Mousa & Mahmoud H. Abu-Moussa, 2024. "Bayesian Analysis of Generalized Inverted Exponential Distribution Based on Generalized Progressive Hybrid Censoring Competing Risks Data," Annals of Data Science, Springer, vol. 11(4), pages 1225-1264, August.
    2. Refah Alotaibi & Ehab M. Almetwally & Qiuchen Hai & Hoda Rezk, 2022. "Optimal Test Plan of Step Stress Partially Accelerated Life Testing for Alpha Power Inverse Weibull Distribution under Adaptive Progressive Hybrid Censored Data and Different Loss Functions," Mathematics, MDPI, vol. 10(24), pages 1-24, December.
    3. B. Singh & R. U. Khan & A. N. Khan, 2022. "Moments of Dual Generalized Order Statistics from Topp Leone Weighted Weibull Distribution and Characterization," Annals of Data Science, Springer, vol. 9(6), pages 1129-1148, December.
    4. Xuanyi Gao & Wenhao Gui, 2023. "Statistical Inference of Burr–Hatke Exponential Distribution with Partially Accelerated Life Test under Progressively Type II Censoring," Mathematics, MDPI, vol. 11(13), pages 1-21, June.
    5. Intekhab Alam & Sadia Anwar & Lalit Kumar Sharma & Aquil Ahmed, 2023. "Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information," Annals of Data Science, Springer, vol. 10(5), pages 1379-1403, October.
    6. 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.

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