The power series skew normal class of distributions

Rasool Roozegar; Saralees Nadarajah

doi:10.1080/03610926.2016.1267758

The power series skew normal class of distributions

Rasool Roozegar, Saralees Nadarajah^*

^*Corresponding author for this work

University of Yazd

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Communications in Statistics - Theory and Methods
Early online date	8 Dec 2016
DOIs	https://doi.org/10.1080/03610926.2016.1267758
Publication status	Published - 2016

Keywords

Maximum likelihood estimation
power series distribution
skew normal distribution.

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10.1080/03610926.2016.1267758

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title = "The power series skew normal class of distributions",

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 = "Maximum likelihood estimation, power series distribution, skew normal distribution.",

author = "Rasool Roozegar and Saralees Nadarajah",

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AB - 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.

KW - Maximum likelihood estimation

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DO - 10.1080/03610926.2016.1267758

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EP - 20

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

ER -

The power series skew normal class of distributions

Abstract

Keywords

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