PLoS ONE (Jan 2023)

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

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

DOI
https://doi.org/10.1371/journal.pone.0281474
Journal volume & issue
Vol. 18, no. 2
p. e0281474

Abstract

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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.