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Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution

Author

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  • Saad J. Almalki
  • Tahani A. Abushal
  • M. D. Alsulami
  • G. A. Abd-Elmougod
  • Ahmed Mostafa Khalil

Abstract

Models with the bathtub-shaped hazard rate function are widely used in lifetime analysis and reliability engineering. In this paper, we adopted the reduced new modified Weibull (RNMW) distribution with a bathtub-shaped hazard rate function. Under consideration that the population units are failing with two independent causes of failure and the failure time is distributed with RNMW distribution, we formulate the model which is known as competing risks model. The model parameters under the type-II censoring scheme are estimated with the maximum likelihood method with the corresponding asymptotic confidence intervals. Also, the Bayes point and credible intervals with the help of MCMC methods are constructed. The real and simulated datasets are analyzed for illustrative purposes. Finally, the estimators are compared with the Monte Carlo simulation study.

Suggested Citation

  • Saad J. Almalki & Tahani A. Abushal & M. D. Alsulami & G. A. Abd-Elmougod & Ahmed Mostafa Khalil, 2021. "Analysis of Type-II Censored Competing Risks’ Data under Reduced New Modified Weibull Distribution," Complexity, Hindawi, vol. 2021, pages 1-13, May.
    • Handle: RePEc:hin:complx:9932840
    DOI: 10.1155/2021/9932840
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    Cited by:

    1. Madan Mohan Gupta & Ajay Singh, 2022. "Aconvergence Of Machine Learning And Statistics To Predict Covid-19 Evolution," Acta Informatica Malaysia (AIM), Zibeline International Publishing, vol. 6(1), pages 34-38, March.

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