title: A characterization of multivariate normality through univariate projections.
abstract: This paper introduces a new characterization of multivariate normality of a random vector based on univariate normality of linear combinations of its components.
authors.affiliation: Division of Biostatistics, New York University SOM, 650 First Avenue, New York, NY 10016, USA ; Department of Statistics, Iowa State University, Ames, IA 50011, USA.
authors.forename: Yongzhao
authors.initials: Y
authors.lastname: Shao
authors.forename: Ming
authors.initials: M
authors.lastname: Zhou
keywords: Goodness of fit; Linear combination of components; Marginal distribution; Multivariate normal distribution; Non-normality