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

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  • zu Castell, Wolfgang

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.

Suggested Citation

  • zu Castell, Wolfgang, 2000. "On a Theorem of T. Gneiting on [alpha]-Symmetric Multivariate Characteristic Functions," Journal of Multivariate Analysis, Elsevier, vol. 75(2), pages 269-278, November.
    • Handle: RePEc:eee:jmvana:v:75:y:2000:i:2:p:269-278
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    References listed on IDEAS

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    1. Richards, Donald St. P., 1986. "Positive definite symmetric functions on finite dimensional spaces. I. Applications of the Radon transform," Journal of Multivariate Analysis, Elsevier, vol. 19(2), pages 280-298, August.
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