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 and Nicholas Makumi

PLOS ONE, 2023, vol. 18, issue 2, 1-20

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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0281474

DOI: 10.1371/journal.pone.0281474

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