Abstract

MARTINEZ-FLOREZ, GUILLERMO; VERGARA-CARDOZO, SANDRA  and  GONZALEZ, LUZ MERY. The Family of Log-Skew-Normal Alpha-Power Distributions using Precipitation Data. Rev.Colomb.Estad. [online]. 2013, vol.36, n.1, pp.43-57. ISSN 0120-1751.

We present a new set of distributions for positive data based on a skew-normal alpha-power (PSN) model including a new parameter which in turn makes the log-skew-normal alpha-power (LPSN) model more flexible than both the log-normal (LN) model and log-skew-normal (LSN) model. The LPSN model contains the LN model and LSN model as special cases. Furthermore, it models positive data with asymmetry and kurtosis larger than the one permitted by the LN distribution. Precipitation data illustrates the usefulness of the LPSN model being less influenced by outliers.

Keywords : Asymmetry; Fisher information matrix; Kurtosis; Likelihood ratio test; Maximum likelihood estimator.

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