Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution
Modeling real-life pandemics is very important; this study focuses on introducing a new superior flexible extension of the asymmetric Haq distribution known as the power Haq distribution (PHD). The most fundamental mathematical properties are derived. We determine its parameters using ten estimation...
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Format: | Article |
Language: | English |
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MDPI AG
2023-03-01
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Series: | Axioms |
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Online Access: | https://www.mdpi.com/2075-1680/12/4/327 |
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author | Yusra Tashkandy Mahmoud E. Bakr Ahmed M. Gemeay Eslam Hussam Mahmoud M. Abd El-Raouf Md Moyazzem Hossain |
author_facet | Yusra Tashkandy Mahmoud E. Bakr Ahmed M. Gemeay Eslam Hussam Mahmoud M. Abd El-Raouf Md Moyazzem Hossain |
author_sort | Yusra Tashkandy |
collection | DOAJ |
description | Modeling real-life pandemics is very important; this study focuses on introducing a new superior flexible extension of the asymmetric Haq distribution known as the power Haq distribution (PHD). The most fundamental mathematical properties are derived. We determine its parameters using ten estimation methods. The asymptotic behavior of its estimators is investigated through simulation, and a comparison is done to find out the most efficient method for estimating the parameters of the distribution under consideration. We use a sample for the COVID-19 data set to evaluate the proposed model’s performance and usefulness in fitting the data set in comparison to other well-known models. |
first_indexed | 2024-03-11T05:15:11Z |
format | Article |
id | doaj.art-8d5165cd02494e1490e6c452e218eb44 |
institution | Directory Open Access Journal |
issn | 2075-1680 |
language | English |
last_indexed | 2024-03-11T05:15:11Z |
publishDate | 2023-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Axioms |
spelling | doaj.art-8d5165cd02494e1490e6c452e218eb442023-11-17T18:18:52ZengMDPI AGAxioms2075-16802023-03-0112432710.3390/axioms12040327Modeling COVID-19 Real Data Set by a New Extension of Haq DistributionYusra Tashkandy0Mahmoud E. Bakr1Ahmed M. Gemeay2Eslam Hussam3Mahmoud M. Abd El-Raouf4Md Moyazzem Hossain5Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptDepartment of Mathematics, Faculty of Science, Helwan University, Cairo 11795, EgyptBasic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandria P.O. Box 1029, EgyptSchool of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne NE1 7RU, UKModeling real-life pandemics is very important; this study focuses on introducing a new superior flexible extension of the asymmetric Haq distribution known as the power Haq distribution (PHD). The most fundamental mathematical properties are derived. We determine its parameters using ten estimation methods. The asymptotic behavior of its estimators is investigated through simulation, and a comparison is done to find out the most efficient method for estimating the parameters of the distribution under consideration. We use a sample for the COVID-19 data set to evaluate the proposed model’s performance and usefulness in fitting the data set in comparison to other well-known models.https://www.mdpi.com/2075-1680/12/4/327COVID-19Haq distributionsimulationestimationmodeling |
spellingShingle | Yusra Tashkandy Mahmoud E. Bakr Ahmed M. Gemeay Eslam Hussam Mahmoud M. Abd El-Raouf Md Moyazzem Hossain Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution Axioms COVID-19 Haq distribution simulation estimation modeling |
title | Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution |
title_full | Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution |
title_fullStr | Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution |
title_full_unstemmed | Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution |
title_short | Modeling COVID-19 Real Data Set by a New Extension of Haq Distribution |
title_sort | modeling covid 19 real data set by a new extension of haq distribution |
topic | COVID-19 Haq distribution simulation estimation modeling |
url | https://www.mdpi.com/2075-1680/12/4/327 |
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