A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries
This paper aims to find a statistical model for the COVID-19 spread in the United Kingdom and Canada. We used an efficient and superior model for fitting the COVID 19 mortality rates in these countries by specifying an optimal statistical model. A new lifetime distribution with two-parameter is intr...
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MDPI AG
2021-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/1/25 |
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| author | Ehab M. Almetwally Randa Alharbi Dalia Alnagar Eslam Hossam Hafez |
| author_facet | Ehab M. Almetwally Randa Alharbi Dalia Alnagar Eslam Hossam Hafez |
| author_sort | Ehab M. Almetwally |
| collection | DOAJ |
| description | This paper aims to find a statistical model for the COVID-19 spread in the United Kingdom and Canada. We used an efficient and superior model for fitting the COVID 19 mortality rates in these countries by specifying an optimal statistical model. A new lifetime distribution with two-parameter is introduced by a combination of inverted Topp-Leone distribution and modified Kies family to produce the modified Kies inverted Topp-Leone (MKITL) distribution, which covers a lot of application that both the traditional inverted Topp-Leone and the modified Kies provide poor fitting for them. This new distribution has many valuable properties as simple linear representation, hazard rate function, and moment function. We made several methods of estimations as maximum likelihood estimation, least squares estimators, weighted least-squares estimators, maximum product spacing, Cram<inline-formula><math display="inline"><semantics><mover accent="true"><mi>e</mi><mo>´</mo></mover></semantics></math></inline-formula>r-von Mises estimators, and Anderson-Darling estimators methods are applied to estimate the unknown parameters of MKITL distribution. A numerical result of the Monte Carlo simulation is obtained to assess the use of estimation methods. also, we applied different data sets to the new distribution to assess its performance in modeling data. |
| first_indexed | 2024-03-09T00:30:07Z |
| format | Article |
| id | doaj.art-092428d35bc44132b41785bbb800465b |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T00:30:07Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-092428d35bc44132b41785bbb800465b2023-12-11T18:31:36ZengMDPI AGAxioms2075-16802021-02-011012510.3390/axioms10010025A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different CountriesEhab M. Almetwally0Randa Alharbi1Dalia Alnagar2Eslam Hossam Hafez3Faculty of Business Administration, Delta University of Science and Technology, El-Mansoura 11152, EgyptDepartment of Statistics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Statistics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Helwan University, Helwan 11795, EgyptThis paper aims to find a statistical model for the COVID-19 spread in the United Kingdom and Canada. We used an efficient and superior model for fitting the COVID 19 mortality rates in these countries by specifying an optimal statistical model. A new lifetime distribution with two-parameter is introduced by a combination of inverted Topp-Leone distribution and modified Kies family to produce the modified Kies inverted Topp-Leone (MKITL) distribution, which covers a lot of application that both the traditional inverted Topp-Leone and the modified Kies provide poor fitting for them. This new distribution has many valuable properties as simple linear representation, hazard rate function, and moment function. We made several methods of estimations as maximum likelihood estimation, least squares estimators, weighted least-squares estimators, maximum product spacing, Cram<inline-formula><math display="inline"><semantics><mover accent="true"><mi>e</mi><mo>´</mo></mover></semantics></math></inline-formula>r-von Mises estimators, and Anderson-Darling estimators methods are applied to estimate the unknown parameters of MKITL distribution. A numerical result of the Monte Carlo simulation is obtained to assess the use of estimation methods. also, we applied different data sets to the new distribution to assess its performance in modeling data.https://www.mdpi.com/2075-1680/10/1/25modified kies familyinverted Topp-Leonedistribution maximumlikelihood estimation maximumproduct spacingCOVID-19 |
| spellingShingle | Ehab M. Almetwally Randa Alharbi Dalia Alnagar Eslam Hossam Hafez A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries Axioms modified kies family inverted Topp-Leone distribution maximum likelihood estimation maximum product spacing COVID-19 |
| title | A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries |
| title_full | A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries |
| title_fullStr | A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries |
| title_full_unstemmed | A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries |
| title_short | A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries |
| title_sort | new inverted topp leone distribution applications to the covid 19 mortality rate in two different countries |
| topic | modified kies family inverted Topp-Leone distribution maximum likelihood estimation maximum product spacing COVID-19 |
| url | https://www.mdpi.com/2075-1680/10/1/25 |
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