Weak Dependence Conditions for Random Processes and Fields

Abstract

Let (Ω, F, P) be a probability space. There exist many-various definitions of the measures of dependence between б-fields Ol₁, Ol₂ ⊂ F. Denote

$$ \alpha (A,B) = P(AB) - P(A)P(B),\varphi (A,B) = P(A/B) - P(A),\varphi (A,B) = \frac{{P(AB)}}{{P(A)P(B)}} - 1,A,B \in {\text{F}} $$