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...

Full description

Bibliographic Details
Main Authors: Yusra Tashkandy, Mahmoud E. Bakr, Ahmed M. Gemeay, Eslam Hussam, Mahmoud M. Abd El-Raouf, Md Moyazzem Hossain
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/4/327
_version_ 1797606438203293696
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
work_keys_str_mv AT yusratashkandy modelingcovid19realdatasetbyanewextensionofhaqdistribution
AT mahmoudebakr modelingcovid19realdatasetbyanewextensionofhaqdistribution
AT ahmedmgemeay modelingcovid19realdatasetbyanewextensionofhaqdistribution
AT eslamhussam modelingcovid19realdatasetbyanewextensionofhaqdistribution
AT mahmoudmabdelraouf modelingcovid19realdatasetbyanewextensionofhaqdistribution
AT mdmoyazzemhossain modelingcovid19realdatasetbyanewextensionofhaqdistribution