等价耦合和总变异的一些对偶性结果

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2024-01-01 DOI:10.1214/24-ecp586

L. Pratelli, P. Rigo

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引用次数: 0

摘要

.让 (Ω , F ) 是一个标准的 Borel 空间，P ( F ) 是 F 上所有概率度量的集合。让 E ⊂Ω × Ω 是可测等价关系，即 E∈F⊗F 和 Ω 上的关系定义为 x ∼ y ⇔ ( x,y ) ∈ E 是重外向、对称和传递的。证明在 Ω 上有两个 σ - 费尔德 G 0 和 G 1，对于所有 µ，ν ∈ P ( F ) 、

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Some duality results for equivalence couplings and total variation

. Let (Ω , F ) be a standard Borel space and P ( F ) the collection of all probability measures on F . Let E ⊂ Ω × Ω be a measurable equivalence relation, that is, E ∈ F⊗F and the relation on Ω deﬁned as x ∼ y ⇔ ( x,y ) ∈ E is reﬂexive, symmetric and transitive. It is shown that there are two σ -ﬁelds G 0 and G 1 on Ω such that, for all µ, ν ∈ P ( F ),

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.