An Asymmetric Extension for the Family of Elliptical Slash Distributions


Autoria(s): Olivares-Pacheco, Juan F.; Salas, Estrella; Gomez, Hector W.; Bolfarine, Heleno
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

11/09/2013

11/09/2013

2012

Resumo

In this article, we introduce an asymmetric extension to the univariate slash-elliptical family of distributions studied in Gomez et al. (2007a). This new family results from a scale mixture between the epsilon-skew-symmetric family of distributions and the uniform distribution. A general expression is presented for the density with special cases such as the normal, Cauchy, Student-t, and Pearson type II distributions. Some special properties and moments are also investigated. Results of two real data sets applications are also reported, illustrating the fact that the family introduced can be useful in practice.

Comision Nacional de Ciencia y TecnologiaCONICYT

Comision Nacional de Ciencia y Tecnologia-CONICYT

FONDECYT (Chile) [1090411]

FONDECYT (Chile)

CNPq (Brasil)

CNPq-Brasil

Identificador

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, PHILADELPHIA, v. 41, n. 6, pp. 1000-1012, JUL, 2012

0361-0926

http://www.producao.usp.br/handle/BDPI/33259

10.1080/03610926.2010.533229

http://dx.doi.org/10.1080/03610926.2010.533229

Idioma(s)

eng

Publicador

TAYLOR & FRANCIS INC

PHILADELPHIA

Relação

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

Direitos

restrictedAccess

Copyright TAYLOR & FRANCIS INC

Palavras-Chave #EPSILON-SKEW #MOMENT #SLASH-ELLIPTICAL #UNIFORM DISTRIBUTION #T-DISTRIBUTION #INFERENCE #ESTATÍSTICA #DISTRIBUIÇÕES UNIFORMES #INFERÊNCIA #STATISTICS & PROBABILITY
Tipo

article

original article

publishedVersion