A generalized skew twopiece skewelliptical distribution
 Mahdi Salehi,
 Ahad Jamalizadeh,
 Mahdi Doostparast
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We present a new generalized family of skew twopiece skewelliptical (GSTPSE) models and derive some its statistical properties. It is shown that the new family of distribution may be written as a mixture of generalized skew elliptical distributions. Also, a new representation theorem for a special case of GSTPSEdistribution is given. Next, we will focus on t kernel density and prove that it is a scale mixture of the generalized skew twopiece skew normal distributions. An explicit expression for the central moments as well as a recurrence relations for its cumulative distribution function and density are obtained. Since, this special case is a uni/bimodal distribution, a sufficient condition for each cases is given. A real data set on heights of Australian females athletes is analysed. Finally, some concluding remarks and open problems are discussed.
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 Title
 A generalized skew twopiece skewelliptical distribution
 Journal

Statistical Papers
Volume 55, Issue 2 , pp 409429
 Cover Date
 20140501
 DOI
 10.1007/s0036201204857
 Print ISSN
 09325026
 Online ISSN
 16139798
 Publisher
 Springer Berlin Heidelberg
 Additional Links
 Topics
 Keywords

 Multivariate elliptical distribution
 Generalized skew twopiece skewelliptical distribution
 Generalized skew twopiece skewt distribution
 Maximum likelihood estimator
 Industry Sectors
 Authors

 Mahdi Salehi ^{(1)}
 Ahad Jamalizadeh ^{(2)}
 Mahdi Doostparast ^{(1)}
 Author Affiliations

 1. Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
 2. Shahid Bahonar University of Kerman, Kerman, Iran