Models of space-time random fields on the sphere

被引：1

作者：

D'Ovidio, Mirko ^{[1
]}

Orsingher, Enzo ^{[2
]}

Sakhno, Lyudmyla ^{[3
]}

机构：

[1] Sapienza Univ Rome, Dept Basic & Appl Sci Engn, Via A Scarpa 16, I-00161 Rome, Italy

[2] Sapienza Univ Rome, Dept Stat Sci, Ple Aldo Moro 5, I-00185 Rome, Italy

[3] Taras Shevchenko Natl Univ Kyiv, Dept Probabil Theory Stat & Actuarial Math, 64 Volodymyrska Str, UA-01601 Kiev, Ukraine

来源：

MODERN STOCHASTICS-THEORY AND APPLICATIONS | 2022年 / 9卷 / 02期

关键词：

Fractional equations; spherical Brownian motion; subordinators; random fields; Laplace-Beltrami operators; spherical harmonics; FRACTIONAL EQUATIONS; REGULARITY;

D O I：

10.15559/22-VMSTA200

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：

General models of random fields on the sphere associated with nonlocal equations in time and space are studied. The properties of the corresponding angular power spectrum are discussed and asymptotic results in terms of random time changes are found.

引用

页码：139 / 156

页数：18

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