A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces
Keyword(s):
This paper is concerned with the construction of positive definite functions on a cartesian product of quasi-metric spaces using generalized Stieltjes and complete Bernstein functions. The results we prove are aligned with a well-established method of T. Gneiting to construct space-time positive definite functions and its many extensions. Necessary and sufficient conditions for the strict positive definiteness of the models are provided when the spaces are metric.
1985 ◽
Vol 28
(2)
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pp. 167-183
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2002 ◽
Vol 31
(12)
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pp. 715-724
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2009 ◽
Vol 2009
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pp. 1-13
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