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

Título traducido de la contribución: Una nota sobre el modelo log-alpha-skew-normal con aplicaciones geoquímicas

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

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

11 Citas (Scopus)

Resumen

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.

Título traducido de la contribución	Una nota sobre el modelo log-alpha-skew-normal con aplicaciones geoquímicas
Idioma original	Inglés
Páginas (desde-hasta)	1697-1703
Número de páginas	7
Publicación	Applied Mathematics and Information Sciences
Volumen	10
N.º	5
DOI	https://doi.org/10.18576/AMIS/100508
Estado	Publicada - 2016

Nota bibliográfica

Publisher Copyright:
© 2016 NSP.

Palabras clave

Alpha-skew-normal distribution
Bimodality
Log-normal distribution

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10.18576/AMIS/100508

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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.",

year = "2016",

doi = "10.18576/AMIS/100508",

language = "English",

volume = "10",

pages = "1697--1703",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "5",

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TY - JOUR

T1 - A note on the log-alpha-skew-normal model with geochemical applications

AU - Venegas, Osvaldo

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

UR - https://www.scopus.com/pages/publications/85046469599

U2 - 10.18576/AMIS/100508

DO - 10.18576/AMIS/100508

M3 - Article

AN - SCOPUS:85046469599

SN - 1935-0090

VL - 10

SP - 1697

EP - 1703

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 5

ER -

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

Resumen

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