On a generalized mixture of standard normal and skew normal probability distributions

Arjun K. Gupta; M. Hafidz Omar; Anwar H. Joarder

On a generalized mixture of standard normal and skew normal probability distributions

Arjun K. Gupta, M. Hafidz Omar, Anwar H. Joarder

King Fahd University of Petroleum & Minerals

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

1 Scopus citations

Abstract

The generalized mixture of standard normal distribution and skew normal distributions (GMNSN) has been studied by Kumar and Anusree. Several properties such as the characteristic function, mean, variance, coefficient of skewness, etc were obtained. In this paper, we investigate this mixture model by providing the same properties and some additional properties using more well-known special functions and simpler moment expressions.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Panamerican Mathematical Journal
Volume	23
Issue number	3
State	Published - Jul 2013

Keywords

Characteristic function
Characterization
Mixture distribution
Skew normal distribution

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "On a generalized mixture of standard normal and skew normal probability distributions",

abstract = "The generalized mixture of standard normal distribution and skew normal distributions (GMNSN) has been studied by Kumar and Anusree. Several properties such as the characteristic function, mean, variance, coefficient of skewness, etc were obtained. In this paper, we investigate this mixture model by providing the same properties and some additional properties using more well-known special functions and simpler moment expressions.",

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AU - Omar, M. Hafidz

AU - Joarder, Anwar H.

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N2 - The generalized mixture of standard normal distribution and skew normal distributions (GMNSN) has been studied by Kumar and Anusree. Several properties such as the characteristic function, mean, variance, coefficient of skewness, etc were obtained. In this paper, we investigate this mixture model by providing the same properties and some additional properties using more well-known special functions and simpler moment expressions.

AB - The generalized mixture of standard normal distribution and skew normal distributions (GMNSN) has been studied by Kumar and Anusree. Several properties such as the characteristic function, mean, variance, coefficient of skewness, etc were obtained. In this paper, we investigate this mixture model by providing the same properties and some additional properties using more well-known special functions and simpler moment expressions.

KW - Characteristic function

KW - Characterization

KW - Mixture distribution

KW - Skew normal distribution

UR - https://www.scopus.com/pages/publications/84905195572

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EP - 14

JO - Panamerican Mathematical Journal

JF - Panamerican Mathematical Journal

IS - 3

ER -

On a generalized mixture of standard normal and skew normal probability distributions

Abstract

Keywords

ASJC Scopus subject areas

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