A multivariate skew normal distribution

  • Authors:
  • Arjun K. Gupta;Graciela González-Farías;J. Armando Domínguez-Molina

  • Affiliations:
  • Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH;Centro de Investigación en Matemáticas, Mexico;Universidad de Guanajuato, Mexico

  • Venue:
  • Journal of Multivariate Analysis
  • Year:
  • 2004

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Abstract

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.