A multivariate skew normal distribution
In this paper, we define a new class of multivariate skew-normal distributions. Its properties are studied. In particular we derive its density, moment generating function, the first two moments and marginal and conditional distributions. We illustrate the contours of a bivariate density as well as conditional expectations. We also give an extension to construct a general multivariate skew normal distribution.
Year of publication: |
2004
|
---|---|
Authors: | Gupta, Arjun K. ; González-Farías, Graciela ; Domínguez-Molina, J. Armando |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 89.2004, 1, p. 181-190
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Publisher: |
Elsevier |
Keywords: | Non-normal models Density Marginal Conditional Regression Moments Moment generating function Contours |
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