Closed Separable Random Sets in Rd

被引：0
|
作者：
Virchenko, Yu. P. [1 ]
机构：
[1] Shukhov Belgorod State Technol Univ, Belgorod 308012, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 08期
关键词：
immersion space; probability distribution; random closed sets; separability; sigma-algebra;
D O I：
10.1134/S1995080223080577
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Spaces <Omega, Sigma, P > of closed separable random subsets in Rd are studied. The theorem about the construction of the measure P of general type in such spaces is proved in the case when random sets are locally definite. The concept of strict separability of random sets under consideration is introduced. It is proved that the multi-point probability distribution functions of random closed strict separable sets have no any isolated discontinuity points.
引用
收藏
页码：3613 / 3629
页数：17
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