A Note on the Log-Alpha-Skew-Normal Model with Geochemical Applications.

Authors

Osvaldo Venegas, Departamento de Ciencias Matem´aticas y F´ısicas, Facultad de Ingenier´ıa, Universidad Cat´olica de Temuco. Temuco, Chile.Follow
Heleno Bolfarine, Departamento de Estat´ıstica, IME, Universidade de S?ao Paulo. S?ao Paulo, Brazil.Follow
Diego I. Gallardo, Departamento de Matem´aticas, Facultad de Ciencias B´asicas, Universidad de Antofagasta, Antofagasta, ChileFollow
Alberto Vergara-Fernandez, Facultad de Ingenier´ıa y Ciencias Aplicadas, Universidad de Los Andes, ChileFollow
Hector W. Gomez, Departamento de Matem´aticas, Facultad de Ciencias B´asicas, Universidad de Antofagasta, Antofagasta, ChileFollow

Author Country (or Countries)

Chile.

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100508

Recommended Citation

Venegas, Osvaldo; Bolfarine, Heleno; I. Gallardo, Diego; Vergara-Fernandez, Alberto; and W. Gomez, Hector (2016) "A Note on the Log-Alpha-Skew-Normal Model with Geochemical Applications.," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 8.
DOI: http://dx.doi.org/10.18576/amis/100508
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/8