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

PLoS One. 2023 Feb 8;18(2):e0281474. doi: 10.1371/journal.pone.0281474. eCollection 2023.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • COVID-19* / epidemiology
  • Humans
  • Models, Statistical
  • Statistical Distributions

Grants and funding

This research has been funded by Scientific Research Deanship at University of Ha’il - Saudi Arabia through project number RG-21 012.