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


 
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1. Title Title of document A New Inverse Rayleigh Distribution with Applications of COVID-19 Data: Properties, Estimation Methods and Censored Sample
 
2. Creator Author's name, affiliation, country El-Sayed A. El-Sherpieny; Faculty of Graduate Studies for Statistical Research
 
2. Creator Author's name, affiliation, country Hiba Z. Muhammed; Faculty of Graduate Studies for Statistical Research
 
2. Creator Author's name, affiliation, country Ehab M. Almetwally; Delta University for Science and Technology; Egypt
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Odd Weibull family; inverted Rayleigh distribution; maximum product spacing; Bayesian estimation; COVID-19; censored sample
 
4. Description 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.
 
5. Publisher Organizing agency, location Coordinamento SIBA - Università del Salento
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2023-10-18
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format pdf
 
10. Identifier Uniform Resource Identifier http://siba-ese.unisalento.it/index.php/ejasa/article/view/23333
 
10. Identifier Digital Object Identifier 10.1285/i20705948v16n2p449
 
11. Source Publication/conference title; vol., no. (year) Electronic Journal of Applied Statistical Analysis; Vol 16, No 2 (2023): Electronic Journal of Applied Statistical Analysis
 
12. Language English=en en
 
13. Relation Supp. Files
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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