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

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 propose...

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Bibliographic Details
Published in:PloS one 2023-02, Vol.18 (2), p.e0281474
Main Authors: Gemeay, Ahmed M, Halim, Zeghdoudi, Abd El-Raouf, M M, Hussam, Eslam, Abdulrahman, Alanazi Talal, Mashaqbah, Nour Khaled, Alshammari, Nawaf, Makumi, Nicholas
Format: Article
Language:English
Subjects:
Biology and Life Sciences
Control
COVID-19
COVID-19 - epidemiology
Datasets
Disease transmission
Entropy
Epidemics
Evaluation
Flexibility
Humans
Mathematical models
Medicine and Health Sciences
Modelling
Models, Statistical
Pandemics
Parameters
Physical Sciences
Public health administration
Random variables
Research and Analysis Methods
Statistical Distributions
Statistical models
Statistics
United States
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Summary: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.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0281474