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

^*Corresponding author for this work

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

10 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.

Translated title of the contribution	Una nota sobre el modelo log-alpha-skew-normal con aplicaciones geoquímicas
Original language	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 - 2016

Bibliographical note

Funding Information:
The research of H.W. Gómez was supported by FONDECYT (Chile) 1130495. We would like to thank to the referee’s for her helpful comments that improved the clarity of the exposition in this paper.

Publisher Copyright:
© 2016 NSP.

Keywords

Alpha-skew-normal distribution
Bimodality
Log-normal distribution

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10.18576/AMIS/100508

Cite this

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title = "A note on the log-alpha-skew-normal model with geochemical applications",

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.",

keywords = "Alpha-skew-normal distribution, Bimodality, Log-normal distribution, Alpha-skew-normal distribution, Bimodality, Log-normal distribution",

author = "Osvaldo Venegas and Heleno Bolfarine and Gallardo, {Diego I.} and Alberto Vergara-Fern{\'a}ndez and G{\'o}mez, {H{\'e}ctor W.}",

note = "Funding Information: The research of H.W. G{\'o}mez was supported by FONDECYT (Chile) 1130495. We would like to thank to the referee{\textquoteright}s for her helpful comments that improved the clarity of the exposition in this paper. Publisher Copyright: {\textcopyright} 2016 NSP.",

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doi = "10.18576/AMIS/100508",

language = "English",

volume = "10",

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journal = "Applied Mathematics and Information Sciences",

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AU - Bolfarine, Heleno

AU - Gallardo, Diego I.

AU - Vergara-Fernández, Alberto

AU - Gómez, Héctor W.

N1 - Funding Information: The research of H.W. Gómez was supported by FONDECYT (Chile) 1130495. We would like to thank to the referee’s for her helpful comments that improved the clarity of the exposition in this paper. Publisher Copyright: © 2016 NSP.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Alpha-skew-normal distribution

KW - Bimodality

KW - Log-normal distribution

KW - Alpha-skew-normal distribution

KW - Bimodality

KW - Log-normal distribution

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JO - Applied Mathematics and Information Sciences

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ER -

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

Abstract

Bibliographical note

Keywords

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