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General two-parameter distribution: Statistical properties, estimation, and application on COVID-19

Author

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  • Ahmed M Gemeay
  • Zeghdoudi Halim
  • M M Abd El-Raouf
  • Eslam Hussam
  • Alanazi Talal Abdulrahman
  • Nour Khaled Mashaqbah
  • Nawaf Alshammari
  • Nicholas Makumi

Abstract

In this paper, we introduced a novel general two-parameter statistical distribution which can be presented as a mix of both exponential and gamma distributions. Some statistical properties of the general model were derived mathematically. Many estimation methods studied the estimation of the proposed model parameters. A new statistical model was presented as a particular case of the general two-parameter model, which is used to study the performance of the different estimation methods with the randomly generated data sets. Finally, the COVID-19 data set was used to show the superiority of the particular case for fitting real-world data sets over other compared well-known models.

Suggested Citation

  • Ahmed M Gemeay & Zeghdoudi Halim & M M Abd El-Raouf & Eslam Hussam & Alanazi Talal Abdulrahman & Nour Khaled Mashaqbah & Nawaf Alshammari & Nicholas Makumi, 2023. "General two-parameter distribution: Statistical properties, estimation, and application on COVID-19," PLOS ONE, Public Library of Science, vol. 18(2), pages 1-20, February.
    • Handle: RePEc:plo:pone00:0281474
    DOI: 10.1371/journal.pone.0281474
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