Reparameterized Scale Mixture of Rayleigh Distribution Regression Models with Varying Precision

Autor: Pilar A. Rivera, Diego I. Gallardo, Osvaldo Venegas, Emilio Gómez-Déniz, Héctor W. Gómez
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 13, p 1982 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12131982
Popis: In this paper, we introduce a new parameterization for the scale mixture of the Rayleigh distribution, which uses a mean linear regression model indexed by mean and precision parameters to model asymmetric positive real data. To test the goodness of fit, we introduce two residuals for the new model. A Monte Carlo simulation study is performed to evaluate the parameter estimation of the proposed model. We compare our proposed model with existing alternatives and illustrate its advantages and usefulness using Gilgais data in R software version 4.2.3 with the gamlss package.
Databáze: Directory of Open Access Journals