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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Format: | Article |
Language: | English |
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Wiley
2022-01-01
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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. |
format | Article |
id | doaj-art-3ec287d652d049b29041653f0ff45261 |
institution | Kabale University |
issn | 2314-4785 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
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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