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Statistical Inference of Burr–Hatke Exponential Distribution with Partially Accelerated Life Test under Progressively Type II Censoring

Author

Listed:
  • Xuanyi Gao

    (School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China)

  • Wenhao Gui

    (School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China)

Abstract

In this paper, estimations of the parameter and acceleration factor of the Burr–Hatke exponential distribution in partially accelerated life tests under progressively type II censoring are investigated. By using typical maximum likelihood methods and the Bayesian method, point estimations of the distribution parameter and the acceleration factor are obtained. Based on the asymptotic normality and Delta method, approximate confidence intervals are established using the Fisher information matrix. The confidence intervals of the percentile bootstrap method are also evaluated. Comprehensive simulation tests are conducted to evaluate the estimations effects. A real dataset is studied by constructing a Burr–Hatke exponential model and analyzing the practicality and utility of parameter estimation.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2939-:d:1183787
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    References listed on IDEAS

    as
    1. Ahmed Z. Afify & Hassan M. Aljohani & Abdulaziz S. Alghamdi & Ahmed M. Gemeay & Abdullah M. Sarg & Barbara Martinucci, 2021. "A New Two-Parameter Burr-Hatke Distribution: Properties and Bayesian and Non-Bayesian Inference with Applications," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, November.
    2. 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.
    3. Sanku Dey & Liang Wang & Mazen Nassar, 2022. "Inference on Nadarajah–Haghighi distribution with constant stress partially accelerated life tests under progressive type-II censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 49(11), pages 2891-2912, August.
    4. 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.
    5. Mahmoud El-Morshedy & Hassan M. Aljohani & Mohamed S. Eliwa & Mazen Nassar & Mohammed K. Shakhatreh & Ahmed Z. Afify, 2021. "The Exponentiated Burr–Hatke Distribution and Its Discrete Version: Reliability Properties with CSALT Model, Inference and Applications," Mathematics, MDPI, vol. 9(18), pages 1-26, September.
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