TY - JOUR
T1 - General two-parameter distribution
T2 - Statistical properties, estimation, and application on COVID-19
AU - Gemeay, Ahmed M.
AU - Halim, Zeghdoudi
AU - Abd El-Raouf, M. M.
AU - Hussam, Eslam
AU - Abdulrahman, Alanazi Talal
AU - Mashaqbah, Nour Khaled
AU - Alshammari, Nawaf
AU - Makumi, Nicholas
N1 - Publisher Copyright:
© 2023 Gemeay et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
PY - 2023/2
Y1 - 2023/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85147783200&partnerID=8YFLogxK
U2 - 10.1371/journal.pone.0281474
DO - 10.1371/journal.pone.0281474
M3 - Article
C2 - 36753497
AN - SCOPUS:85147783200
SN - 1932-6203
VL - 18
JO - PLoS ONE
JF - PLoS ONE
IS - 2 February
M1 - e0281474
ER -