The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data

Abstract

This paper aims at defining an optimal statistical model for the COVID-19 distribution in the United Kingdom, and Canada. A combining the inverted Topp–Leone distribution and the odd Weibull family introduces a new lifetime distribution with a three-parameter to formulate the odd Weibull inverted Topp–Leone (OWITL) distribution. As a simple linear representation, hazard rate function, and moment function, this new distribution has several nice properties. To estimate the unknown parameters of OWITL distribution, maximum likelihood, least-square, weighted least-squares, maximum product spacing, Cramér–von Mises estimators, and Anderson–Darling estimation methods are used. To evaluate the use of estimation techniques, a numerical outcome of the Monte Carlo simulation is obtained.

Type II Half-Logistic Odd Fréchet Class of Distributions: Statistical Theory and Applications

“…To evaluate the estimation problem of the TI I HLOF − G family parameters, this part uses six estimate methods: maximum likelihood, least-square, a maximum product of spacing, weighted least square, Cram ér-von Mises, and Anderson-Darling. For more examples see [29][30][31][32][33].…”

Reliability Analysis of the New Exponential Inverted Topp–Leone Distribution with Applications

“…We use classical (ML and MPS) and non-classical (Bayesian) methods. In the last few years, parameter estimation using different methods has received great attention from many authors, such as Haj Ahmad and Almetwally [ 21 ], Basheer et al [ 22 ], and Almetwally [ 15 ].…”

“…Some authors studied and developed new extensions and generalizations of the ITL distribution, such as the power ITL distribution prepared by Abushal et al [ 11 ], Kumaraswamy ITL distribution introduced by Hassen et al [ 12 ], alpha power ITL distribution presented by Ibrahim et al [ 13 ], modified Kies ITL distribution introduced by Almetwally et al [ 14 ], odd Weibull ITL distribution suggested by Almetwally [ 15 ], and half logistic ITL distribution prepared by Bantan et al [ 16 ].…”

A new lifetime family of distributions: Theoretical developments and analysis of COVID 19 data

“… [36] , Kumaraswamy Inverted Topp-Leone (KITL) [Hassan et al. [37] ], Odd Weibull inverse Topp- Leone (OWITL) [Almetwally [38] ], New Exponential-X Fréchet (NEXF) [Alzeley et al. [39] ] and Weibull-Lomax (WL) [Tahir et al.…”

“…Table 8 , Table 10 provide the statistics Cramer von Mises (CVM), Anderson Darling (AD) values, and the Kolmogorov–Smirnov (KS) statistics, along with the -value for all models fitted on the basis of real data set. For more examples of applications of COVID-19 data, see Almetwally [38] , Almetwally et al. [41] , Abu El Azm et al.…”