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On Progressive Censored Competing Risks Data: Real Data Application and Simulation Study

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  • Abd El-Raheem M. Abd El-Raheem

    (Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt)

  • Mona Hosny

    (Department of Mathematics, College of Science for Girls, King Khalid University, Abha 61413, Saudi Arabia)

  • Mahmoud H. Abu-Moussa

    (Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt)

Abstract

Competing risks are frequently overlooked, and the event of interest is analyzed with conventional statistical techniques. In this article, we consider the analysis of bi-causes of failure in the context of competing risk models using the extension of the exponential distribution under progressive Type-II censoring. Maximum likelihood estimates for the unknown parameters via the expectation-maximization algorithm are obtained. Moreover, the Bayes estimates of the unknown parameters are approximated using Tierney-Kadane and MCMC techniques. Interval estimates using Bayesian and classical techniques are also considered. Two real data sets are investigated to illustrate the different estimation methods, and to compare the suggested model with Weibull distribution. Furthermore, the estimation methods are compared through a comprehensive simulation study.

Suggested Citation

  • Abd El-Raheem M. Abd El-Raheem & Mona Hosny & Mahmoud H. Abu-Moussa, 2021. "On Progressive Censored Competing Risks Data: Real Data Application and Simulation Study," Mathematics, MDPI, vol. 9(15), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1805-:d:605823
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    References listed on IDEAS

    as
    1. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. Haghighi, Firoozeh, 2014. "Optimal design of accelerated life tests for an extension of the exponential distribution," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 251-256.
    3. Peña-Ramírez, Fernando A. & Guerra, Renata Rojas & Canterle, Diego Ramos & Cordeiro, Gauss M., 2020. "The logistic Nadarajah–Haghighi distribution and its associated regression model for reliability applications," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    4. Arnab Koley & Debasis Kundu, 2017. "On generalized progressive hybrid censoring in presence of competing risks," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 401-426, May.
    5. M. M. Mohie El-Din & S. E. Abu-Youssef & Nahed S. A. Ali & A. M. Abd El-Raheem, 2016. "Estimation in constant-stress accelerated life tests for extension of the exponential distribution under progressive censoring," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 253-273, August.
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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.

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