ALPHA-SKEW-NORMAL DISTRIBUTION

ALPHA-SKEW-NORMAL DISTRIBUTION

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 F...

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Autor principal: Elal-Olivero,David
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:
Asymmetry
Bimodality
Skew-normal distribution
Stochastic representation
Maximum likelihood estimation
Singular information matrix
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300006
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spelling oai:scielo:S0716-091720100003000062010-12-29ALPHA-SKEW-NORMAL DISTRIBUTIONElal-Olivero,David Asymmetry Bimodality Skew-normal distribution Stochastic representation Maximum likelihood estimation Singular information matrix 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.3 20102010-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300006en10.4067/S0716-09172010000300006
institution Scielo Chile
collection Scielo Chile
language English
topic Asymmetry
Bimodality
Skew-normal distribution
Stochastic representation
Maximum likelihood estimation
Singular information matrix
spellingShingle Asymmetry
Bimodality
Skew-normal distribution
Stochastic representation
Maximum likelihood estimation
Singular information matrix
Elal-Olivero,David
ALPHA-SKEW-NORMAL DISTRIBUTION
description 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.
author Elal-Olivero,David
author_facet Elal-Olivero,David
author_sort Elal-Olivero,David
title ALPHA-SKEW-NORMAL DISTRIBUTION
title_short ALPHA-SKEW-NORMAL DISTRIBUTION
title_full ALPHA-SKEW-NORMAL DISTRIBUTION
title_fullStr ALPHA-SKEW-NORMAL DISTRIBUTION
title_full_unstemmed ALPHA-SKEW-NORMAL DISTRIBUTION
title_sort alpha-skew-normal distribution
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300006
work_keys_str_mv AT elaloliverodavid alphaskewnormaldistribution
_version_ 1718439771599011840

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