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A novel flexible exponent power-X family of distributions with applications to COVID-19 mortality rate in Mexico and Canada.

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  • معلومة اضافية
    • المصدر:
      Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: MEDLINE
    • بيانات النشر:
      Original Publication: London : Nature Publishing Group, copyright 2011-
    • الموضوع:
      COVID-19*/epidemiology; Humans ; Bayes Theorem ; Mexico/epidemiology ; Computer Simulation ; Canada
    • نبذة مختصرة :
      This paper aims to introduce a novel family of probability distributions by the well-known method of the T-X family of distributions. The proposed family is called a "Novel Generalized Exponent Power X Family" of distributions. A three-parameters special sub-model of the proposed method is derived and named a "Novel Generalized Exponent Power Weibull" distribution (NGEP-Wei for short). For the proposed family, some statistical properties are derived including the hazard rate function, moments, moment generating function, order statistics, residual life, and reverse residual life. The well-known method of estimation, the maximum likelihood estimation method is used for estimating the model parameters. Besides, a comprehensive Monte Carlo simulation study is conducted to assess the efficacy of this estimation method. Finally, the model selection criterion such as Akaike information criterion (AINC), the correct information criterion (CINC), the Bayesian information criterion (BINC), the Hannan-Quinn information criterion (HQINC), the Cramer-von-Misses (CRMI), and the ANDA (Anderson-Darling) are used for comparison purpose. The comparison of the NGEP-Wei with other rival distributions is made by Two COVID-19 data sets. In terms of performance, we show that the proposed method outperforms the other competing methods included in this study.
      (© 2024. The Author(s).)
    • References:
      PLoS One. 2019 Jun 12;14(6):e0218027. (PMID: 31188897)
      Comput Math Methods Med. 2020 Feb 20;2020:4373595. (PMID: 32148556)
      PLoS One. 2020 Jun 12;15(6):e0233080. (PMID: 32530965)
      Results Phys. 2021 Apr;23:104012. (PMID: 33728260)
    • Contributed Indexing:
      Keywords: COVID-19 data; Maximum likelihood estimation; Monte Carlo simulation; Novel Generalized Exponent Power X family; Weibull distribution
    • الموضوع:
      Date Created: 20240418 Date Completed: 20240422 Latest Revision: 20240426
    • الموضوع:
      20250114
    • الرقم المعرف:
      PMC11026430
    • الرقم المعرف:
      10.1038/s41598-024-59720-1
    • الرقم المعرف:
      38637663