Multivariate skewness and Kurtosis for singular distributions

  1. R. Ardanuy 1
  2. J. M. Sánchez 1
  1. 1 Dpto. de Matemática Pura y Aplicada. Univ. de Salamanca
Revue:
Extracta mathematicae

ISSN: 0213-8743

Année de publication: 1993

Titre de la publication: Keynes

Volumen: 8

Número: 2-3

Pages: 98-101

Type: Article

D'autres publications dans: Extracta mathematicae

Résumé

In multivariate analysis it is generally assumed that the observations are normally distributed. It was Mardia ([1] to [5]), who first introduced measures of multivariate skewness and kurtosis; these statistics are affine invariant and can be used for testing multivariate normality. Skewness and kurtosis tests remain among the most powerful, general and easy to implement. In this paper we show some properties of these statistics when population distribution is singular.