Proyecciones Journal of Mathematics
Vol. 29, N° 3, pp. 224-240, December 2010.
Universidad Católica del Norte
Antofagasta - Chile


ALPHA-SKEW-NORMAL DISTRIBUTION *


David Elal-Olivero

Universidad de Atacama, Chile


Correspondencia a:

Abstract

The main object of this paper is to introduce an alternative form of generate asymmetry in the normal distribution that allows to fit unimodal and bimodal data sets. Basic properties of this new distribution, such as stochastic representation, moments, maximum likelihood and the singularity of the Fisher information matrix are studied. The methodology developed is illustrated with a real application.

Keywords : Asymmetry; Bimodality; Skew-normal distribution; Stochastic representation; Maximum likelihood estimation; Singular information matrix

References

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David Elal-Olivero
Departamento de Matematicas
Facultad de Ingenieria
Universidad de Atacama
Copiapo
Chile
e-mail : delal@mat.uda.cl

Received : October 2009. Accepted : October 2010