Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data

In this paper, the main aim is to define a statistical distribution that can be used to model COVID-19 data in Mexico and Canada. Using the method of exponentiation on the gull alpha exponential distribution introduces a new distribution with three parameters called the exponentiated gull alpha powe...

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Main Authors: Hazar A. Khogeer, Amani Alrumayh, M. M. Abd El-Raouf, Mutua Kilai, Ramy Aldallal
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4255079
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author Hazar A. Khogeer
Amani Alrumayh
M. M. Abd El-Raouf
Mutua Kilai
Ramy Aldallal
author_facet Hazar A. Khogeer
Amani Alrumayh
M. M. Abd El-Raouf
Mutua Kilai
Ramy Aldallal
author_sort Hazar A. Khogeer
collection DOAJ
description In this paper, the main aim is to define a statistical distribution that can be used to model COVID-19 data in Mexico and Canada. Using the method of exponentiation on the gull alpha exponential distribution introduces a new distribution with three parameters called the exponentiated gull alpha power exponential (EGAPE) distribution. The distribution has the benefit of being able to represent monotonic and nonmonotonic failure rates, both of which are often seen in dependability issues. It is possible to determine the quantile function as well as the skewness, kurtosis, and order statistics of the suggested distribution. The approach of maximum likelihood is used in order to calculate the parameters of the model, and the RMSE and average bias are utilised in order to evaluate how successful the strategy is. In conclusion, the flexibility of the new distribution is demonstrated by modeling COVID-19 data. From the practical application, we can conclude that the proposed model outperformed the competing models and therefore can be used as a better option for modeling COVID-19 and other related datasets.
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institution Kabale University
issn 2314-4785
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record_format Article
series Journal of Mathematics
spelling doaj-art-3ec287d652d049b29041653f0ff452612025-02-03T01:07:22ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4255079Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 DataHazar A. Khogeer0Amani Alrumayh1M. M. Abd El-Raouf2Mutua Kilai3Ramy Aldallal4Department of Mathematical SciencesDepartment of MathematicsBasic and Applied Science InstituteDepartment of Mathematics (Statistics Option) ProgrammeCollege of Business Administration in Hotat Bani TamimIn this paper, the main aim is to define a statistical distribution that can be used to model COVID-19 data in Mexico and Canada. Using the method of exponentiation on the gull alpha exponential distribution introduces a new distribution with three parameters called the exponentiated gull alpha power exponential (EGAPE) distribution. The distribution has the benefit of being able to represent monotonic and nonmonotonic failure rates, both of which are often seen in dependability issues. It is possible to determine the quantile function as well as the skewness, kurtosis, and order statistics of the suggested distribution. The approach of maximum likelihood is used in order to calculate the parameters of the model, and the RMSE and average bias are utilised in order to evaluate how successful the strategy is. In conclusion, the flexibility of the new distribution is demonstrated by modeling COVID-19 data. From the practical application, we can conclude that the proposed model outperformed the competing models and therefore can be used as a better option for modeling COVID-19 and other related datasets.http://dx.doi.org/10.1155/2022/4255079
spellingShingle Hazar A. Khogeer
Amani Alrumayh
M. M. Abd El-Raouf
Mutua Kilai
Ramy Aldallal
Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
Journal of Mathematics
title Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
title_full Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
title_fullStr Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
title_full_unstemmed Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
title_short Exponentiated Gull Alpha Exponential Distribution with Application to COVID-19 Data
title_sort exponentiated gull alpha exponential distribution with application to covid 19 data
url http://dx.doi.org/10.1155/2022/4255079
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AT mmabdelraouf exponentiatedgullalphaexponentialdistributionwithapplicationtocovid19data
AT mutuakilai exponentiatedgullalphaexponentialdistributionwithapplicationtocovid19data
AT ramyaldallal exponentiatedgullalphaexponentialdistributionwithapplicationtocovid19data