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Competing Risk Analysis in Constant Stress Partially Accelerated Life Tests Under Censored Information

Author

Listed:
  • Intekhab Alam

    (St. Andrews Institute of Technology & Management)

  • Sadia Anwar

    (Prince Sattam bin Abdulaziz University)

  • Lalit Kumar Sharma

    (St. Andrews Institute of Technology & Management)

  • Aquil Ahmed

    (Aligarh Muslim University)

Abstract

A constant-stress partially accelerated life test (CSPALT) is the most widespread type where each examination unit is subjected to only one chosen stress level until its failure or the termination of the experiment, whichever occurs first. This paper presents the CSPALT with Type-I and -II censoring schemes in the occurrence of competing failure causes when the lifetime of test units follows the two-parameter Fréchet distribution. The lifetime of test units follows the two-parameter Fréchet distribution. The maximum likelihood method is used to estimate the parameters of the failure distribution. The Fisher Information Matrix and variance–covariance matrix are also assembled. Furthermore, a simulation technique is applied to investigate the performance of the theoretical estimators of the parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aodasc:v:10:y:2023:i:5:d:10.1007_s40745-022-00401-z
    DOI: 10.1007/s40745-022-00401-z
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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. Saralees Nadarajah & Samuel Kotz, 2008. "Sociological Models Based on Fréchet Random Variables," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(1), pages 89-95, February.
    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. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
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