Operator-stable and operator-self-similar random fields

被引:7
|
作者
Kremer, D. [1 ]
Scheffler, H. -P. [1 ]
机构
[1] Univ Siegen, Dept Math, D-57068 Siegen, Germany
关键词
Statistics;
D O I
10.1016/j.spa.2018.11.013
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
Two classes of multivariate random fields with operator-stable marginals are constructed. The random fields X = {X(t) : t is an element of R-d} with values in R-m are invariant in law under operator-scaling in both the time-domain and the state-space. The construction is based on operator-stable random measures utilizing certain homogeneous functions. (C) 2018 Elsevier B.V. All rights reserved.
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页码:4082 / 4107
页数:26
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