A note on the log-alpha-skew-normal model with geochemical applications

Osvaldo Venegas; Heleno Bolfarine; Diego I. Gallardo; Alberto Vergara-Fernández; Héctor W. Gómez

doi:10.18576/AMIS/100508

A note on the log-alpha-skew-normal model with geochemical applications

Osvaldo Venegas, Heleno Bolfarine, Diego I. Gallardo, Alberto Vergara-Fernández, Héctor W. Gómez

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we introduce an extension of the log-normal distribution, based on the alpha-skew-normal distribution introduced by Elal-Olivero [10]. Basic properties, moments, moment estimators, maximum likelihood estimators and a simulation study are discussed. We apply the approach developed in this paper to data sets related to neodymium and nickel concentrations in soil samples. Model fit indicates good performance of the proposed model when compared with less flexible models.

Original language	American English
Pages (from-to)	1697-1703
Number of pages	7
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	5
DOIs	https://doi.org/10.18576/AMIS/100508
State	Published - 1 Jan 2016

Keywords

Alpha-skew-normal distribution
Bimodality
Log-normal distribution

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abstract = "In this paper we introduce an extension of the log-normal distribution, based on the alpha-skew-normal distribution introduced by Elal-Olivero [10]. Basic properties, moments, moment estimators, maximum likelihood estimators and a simulation study are discussed. We apply the approach developed in this paper to data sets related to neodymium and nickel concentrations in soil samples. Model fit indicates good performance of the proposed model when compared with less flexible models.",

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AU - Gómez, Héctor W.

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