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The power series skew normal class of distributions

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ABSTRACT A class of power series skew normal distributions is introduced by generalizing the geometric skew normal distribution of Kundu. Various mathematical properties are derived and estimation addressed by the… Click to show full abstract

ABSTRACT A class of power series skew normal distributions is introduced by generalizing the geometric skew normal distribution of Kundu. Various mathematical properties are derived and estimation addressed by the method of maximum likelihood. The data application of Kundu [Sankhyā B, 76, 2014, 167–189] is revisited and the proposed class is shown to provide a better fit.

Keywords: class; skew normal; power series; series skew

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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