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Article

A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

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Faculty of Business Administration, Delta University of Science and Technology, El-Mansoura 11152, Egypt
2
Department of Statistics, University of Tabuk, Tabuk 71491, Saudi Arabia
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Department of Mathematics, Faculty of Science, Helwan University, Helwan 11795, Egypt
*
Authors to whom correspondence should be addressed.
Academic Editor: Hari Mohan Srivastava
Received: 30 December 2020 / Revised: 9 February 2021 / Accepted: 17 February 2021 / Published: 26 February 2021
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, Crame´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. View Full-Text
Keywords: modified kies family; inverted Topp-Leone; distribution maximum; likelihood estimation maximum; product spacing; COVID-19 modified kies family; inverted Topp-Leone; distribution maximum; likelihood estimation maximum; product spacing; COVID-19
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MDPI and ACS Style

Almetwally, E.M.; Alharbi, R.; Alnagar, D.; Hafez, E.H. A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries. Axioms 2021, 10, 25. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010025

AMA Style

Almetwally EM, Alharbi R, Alnagar D, Hafez EH. A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries. Axioms. 2021; 10(1):25. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010025

Chicago/Turabian Style

Almetwally, Ehab M., Randa Alharbi, Dalia Alnagar, and Eslam H. Hafez 2021. "A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries" Axioms 10, no. 1: 25. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10010025

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