Zastavnyi operators and positive definite radial functions

被引：7

作者：

Faouzi, Tarik ^{[1
]}

Porcu, Emilio ^{[2
,3
]}

Bevilacqua, Moreno ^{[4
]}

Kondrashuk, Igor ^{[5
]}

机构：

[1] Univ Bio Bio, Dept Stat, Appl Math Res Grp, Chillan, Chile

[2] Univ Newcastle, Sch Math & Stat, Newcastle Upon Tyne, Tyne & Wear, England

[3] Millennium Nucleus Ctr Discovery Structuresin Com, Santiago, Chile

[4] Univ Valparaiso, Dept Stat, Millennium Nucleus Ctr Discovery Struct Complex D, Valparaiso, Chile

[5] Univ Bio Bio, Dept Ciencias Basicas, Grp Matemat Aplicada, Campus Fernando May,Av Andres Bello 720, Chillan, Chile

来源：

STATISTICS & PROBABILITY LETTERS | 2020年 / 157卷

关键词：

Completely monotonic; Fourier transforms; Positive definite; Radial functions; DIMENSION;

D O I：

10.1016/j.spl.2019.108620

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

we consider a new operator acting on rescaled weighted differences between two members of the class Phi(d) of positive definite radial functions. In particular, we study the positive definiteness of the operator for the Matern, Generalized Cauchy and Wendland families. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：7

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