In this paper we introduce an extension of the log-normal distribution, based on the alpha-skew-normal distribution introduced by Elal-Olivero . 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.
Bibliographical noteFunding 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.
© 2016 NSP.
- Alpha-skew-normal distribution
- Log-normal distribution