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 journalArticlepeer-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 contributionUna nota sobre el modelo log-alpha-skew-normal con aplicaciones geoquímicas
Original languageEnglish
Pages (from-to)1697-1703
Number of pages7
JournalApplied Mathematics and Information Sciences
Volume10
Issue number5
DOIs
StatePublished - 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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