An extended Rayleigh model: Properties, regression and COVID-19 application
Gauss M. Cordeiro, Gabriela M. Rodrigues, Edwin M. M. Ortega, Lu\'is, H. de Santana, Roberto Vila
TL;DR
This paper introduces a four-parameter extended Rayleigh distribution, explores its mathematical properties, develops a regression model, and demonstrates its usefulness through two real-world COVID-19 applications.
Contribution
The paper presents a novel four-parameter extended Rayleigh distribution with derived properties and a regression framework, applied to COVID-19 data.
Findings
Mathematical properties of the extended Rayleigh distribution established
Regression model based on the new distribution constructed
Effective application demonstrated in COVID-19 data analysis
Abstract
We define a four-parameter extended Rayleigh distribution, and obtain several mathematical properties including a stochastic representation. We construct a regression from the new distribution. The estimation is done by maximum likelihood. The utility of the new models is proved in two real applications.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Advanced Statistical Methods and Models