A New Inverse Rayleigh Distribution with Applications of COVID-19 Data: Properties, Estimation Methods and Censored Sample

Authors

  • El-Sayed A. El-Sherpieny Faculty of Graduate Studies for Statistical Research
  • Hiba Z. Muhammed Faculty of Graduate Studies for Statistical Research
  • Ehab M. Almetwally Delta University for Science and Technology

DOI:

https://doi.org/10.1285/i20705948v16n2p449

Keywords:

Odd Weibull family, inverted Rayleigh distribution, maximum product spacing, Bayesian estimation, COVID-19, censored sample

Abstract

This paper aims at modelling the COVID-19 spread in the United Kingdom and the United States of America, by specifying an optimal statistical univariate model. A new lifetime distribution with three-parameters is introduced by a combination of inverse Rayleigh distribution and odd Weibull family of distributions to formulate the odd Weibull inverse Rayleigh (OWIR) distribution. Some of the mathematical properties of the OWIR distribution are discussed as linear representation, quantile, moments, function of moment production, hazard rate, stress-strength reliability, and order statistics. Maximum likelihood, maximum product spacing, and Bayesian estimation method are applied to estimate the unknown parameters of OWIR distribution. The parameters of the OWIR distribution are estimated under the progressive type-II censoring scheme with random removal. A numerical result of a Monte Carlo simulation is obtained to assess the use of estimation methods.

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Published

18-10-2023

Issue

Vol. 16 No. 2 (2023): Electronic Journal of Applied Statistical Analysis

Section

Original Paper

License

Authors who publish with EJASA agree to the  Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.