Novel Type I Half Logistic Burr-Weibull Distribution: Application to COVID-19 Data

Author:

Alshanbari Huda M.1ORCID,Odhah Omalsad Hamood1ORCID,Almetwally Ehab M.23ORCID,Hussam Eslam4ORCID,Kilai Mutua5ORCID,El-Bagoury Abdal-Aziz H.6ORCID

Affiliation:

1. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Statistics, Faculty of Business Administration, Delta University of Science and Technology, Egypt

3. The Scientific Association for Studies and Applied Research, Al Manzalah 35646, Egypt

4. Department of Mathematics, Helwan University, Faculty of Science, Cairo, Egypt

5. Department of Mathematics, Pan African Institute of Basic Science Technology and Innovation, Nairobi, Kenya

6. Basic Science Department, Higher Institute of Engineering and Technology, El-Mahalla El-Kubra, Egypt

Abstract

In this work, we presented the type I half logistic Burr-Weibull distribution, which is a unique continuous distribution. It offers several superior benefits in fitting various sorts of data. Estimates of the model parameters based on classical and nonclassical approaches are offered. Also, the Bayesian estimates of the model parameters were examined. The Bayesian estimate method employs the Monte Carlo Markov chain approach for the posterior function since the posterior function came from an uncertain distribution. The use of Monte Carlo simulation is to assess the parameters. We established the superiority of the proposed distribution by utilising real COVID-19 data from varied countries such as Saudi Arabia and Italy to highlight the relevance and flexibility of the provided technique. We proved our superiority using both real data.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modeling and Simulation,General Medicine

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