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

Gemeay, Ahmed M; Halim, Zeghdoudi; Abd El-Raouf, M M; Hussam, Eslam; Abdulrahman, Alanazi Talal; Mashaqbah, Nour Khaled; Alshammari, Nawaf; Makumi, Nicholas · PLoS One · 2023

other · Level V

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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.

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