论文标题

一种类似于公制空间上构造正定功能的gneiting样方法

A Gneiting-Like Method for Constructing Positive Definite Functions on Metric Spaces

论文作者

Barbosa, Victor S., Menegatto, Valdir A.

论文摘要

本文涉及使用广义stieltjes和完整的Bernstein功能在准中空间的笛卡尔产物上构建积极的确定功能。我们证明的结果与建立的T. gneiting的方法对齐,以构建时空积极的确定功能及其许多扩展。当空间是度量标准时,提供了严格的模型确定性的必要条件。

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.

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