Some simulation/computation in multivariate linear models of scale mixtures of skew-normal-Cauchy distributions

Kahrari F.; Arellano-Valle R.B.; da Silva Ferreira C.; Gallardo D.

Keywords: normal, 62E99; 62H10; 62H12; 62J05; EM, algorithm; Multivariate linear regression models; Scale mixtures skew, Cauchy distributions; Shape mixture

Abstract

In this work, we extend standard likelihood-based procedures to the multivariate linear model using the scale mixtures of multivariate skew-normal-Cauchy distributions. A simple EM algorithm for iteratively computing maximum likelihood estimates is derived. The observed information matrix is computed analytically to account for standard errors. Some results are obtained from real and simulated datasets to illustrate the usefulness of the proposed model.

Más información

Título según SCOPUS: Some simulation/computation in multivariate linear models of scale mixtures of skew-normal-Cauchy distributions
Título de la Revista: Communications in Statistics: Simulation and Computation
Volumen: 51
Número: 11
Editorial: Taylor and Francis Ltd.
Fecha de publicación: 2022
Página final: 6440
Idioma: English
DOI:

10.1080/03610918.2020.1804582

Notas: SCOPUS