General families of skew-symmetric distributions

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dc.contributor.advisor Ali, Mir M. en_US Wahed, Abdus S. en_US 2011-06-03T19:38:55Z 2011-06-03T19:38:55Z 2000 en_US 2000
dc.identifier LD2489.Z72 2000 .W34 en_US
dc.description.abstract The family of univariate skew-normal probability distributions, an extension of symmetric normal distribution to a general case of asymmetry, was originally proposed by Azzalani [1]. Since its introduction, very limited research has been conducted in this area. An extension of the univariate skew-normal distribution to the multivariate case was considered by Azzalani and Dalla Valle [4]. Its application in statistics was recently considered by Azzalani and Capitanio [3]. As a general result, Azzalani (1985) [See [1]] showed that, any symmetric distribution can be viewed as a member of a more general class of skewed distributions.In this study we establish some properties of general family of skewed distributions. Examples of general family of asymmetric distributions is presented in a way to show their differences from the corresponding symmetric distributions. The skew-logistic distribution and its properties are considered in great details.
dc.description.sponsorship Department of Mathematical Sciences
dc.format.extent viii, 35 leaves : ill. (some col.) ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Distribution (Probability theory) en_US
dc.subject.lcsh Skew fields. en_US
dc.title General families of skew-symmetric distributions en_US
dc.title.alternative Title on approval sheet: General families of asymmetric distributions en_US Thesis (M.A.)
dc.identifier.cardcat-url en_US

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  • Master's Theses [5510]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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