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[Retracted] Classical and Bayesian Inference of Marshall‐Olkin Extended Gompertz Makeham Model with Modeling of Physics Data

Author

Listed:
  • Rania A. H. Mohamed
  • Abdulhakim A. Al-Babtain
  • I. Elbatal
  • Ehab M. Almetwally
  • Hisham M. Almongy

Abstract

The purpose of this study is to present the Marshall‐ Olkin extended Gompertz Makeham (MOEGM) lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the model parameters, and it is well known that likelihood estimators for unknown parameters are not always available. As a result, we examine the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to the squared error loss function. A Monte Carlo simulation research is carried out to examine the performance of the likelihood estimators and the Bayesian technique. Finally, we demonstrate the significance of the new model. And to conclude, we illustrate the importance of the new model by exploring some of the empirical applications of physics to show it’s flexibility and potentiality of a new model.

Suggested Citation

  • Rania A. H. Mohamed & Abdulhakim A. Al-Babtain & I. Elbatal & Ehab M. Almetwally & Hisham M. Almongy, 2022. "[Retracted] Classical and Bayesian Inference of Marshall‐Olkin Extended Gompertz Makeham Model with Modeling of Physics Data," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2528583
    DOI: 10.1155/2022/2528583
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    References listed on IDEAS

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    1. Mustapha Muhammad & Rashad A. R. Bantan & Lixia Liu & Christophe Chesneau & Muhammad H. Tahir & Farrukh Jamal & Mohammed Elgarhy, 2021. "A New Extended Cosine—G Distributions for Lifetime Studies," Mathematics, MDPI, vol. 9(21), pages 1-29, October.
    2. Tomasz Wrycza, 2014. "Entropy of the Gompertz-Makeham mortality model," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 30(49), pages 1397-1404.
    3. M. E. Ghitany & E. K. Al-Hussaini & R. A. Al-Jarallah, 2005. "Marshall-Olkin extended weibull distribution and its application to censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1025-1034.
    4. Abdullah M. Almarashi & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy & Yi Su, 2021. "A New Truncated Muth Generated Family of Distributions with Applications," Complexity, Hindawi, vol. 2021, pages 1-14, September.
    5. Chin-Diew Lai & Min Xie, 2006. "Stochastic Ageing and Dependence for Reliability," Springer Books, Springer, number 978-0-387-34232-0, January.
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