On a Theorem of T. Gneiting on [alpha]-Symmetric Multivariate Characteristic Functions

Wolfgang zu Castell

Journal of Multivariate Analysis, 2000, vol. 75, issue 2, 269-278

Abstract: T. Gneiting (1998, J. Multivariate Analysis64, 131-147) proved a relation between the primitives of the classes [Phi]d(2) and [Phi]d(1) of 2- and 1-symmetric characteristic functions on d, respectively. We will give a straightforward proof of his relation, answering a question of his. To do this we use the calculus of generalized hypergeometric functions.

Keywords: generalized hypergeometric functions; [alpha]-symmetric characteristic functions; norm-dependent positive definite functions (search for similar items in EconPapers)
Date: 2000
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