artículo
An Extension of the Epsilon-Skew-Normal Distribution
Fecha
2010Registro en:
10.1080/03610920902807903
1532-415X
0361-0926
WOS:000275049600013
Autor
Arellano Valle, Reinaldo B.
Cortes, Milton A.
Gomez, Hector W.
Institución
Resumen
This article is related with the probabilistic and statistical properties of an parametric extension of the so-called epsilon-skew-normal (ESN) distribution introduced by Mudholkar and Hutson (2000), which considers an additional shape parameter in order to increase the flexibility of the ESN distribution. Also, this article concerns likelihood inference about the parameters of the new class. In particular, the information matrix of the maximum likelihood estimators is obtained, showing that it is non singular in the special normal case. Finally, the statistical methods are illustrated with two examples based on real datasets.