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- W1928207369 abstract "Let A1, ℬ, A2 be σ-algebras of events having the following relationship: if the outcomes of all events in ℬ are known, events A2 ∈A2 are independent of events A1 ∈ A1. More precisely, the σ-algebras A1 and A2 are conditionally independent with respect to ℬ; this gives the equation for conditional probabilities:$$ P({A_1} cdot {A_2}|B) = P({A_1}|B) cdot P({A_2}|B) $$(1.1)for any A1 ∈ A1, A2 ∈A2. We say that the σ-algebra ℬ splits A1 and A2 (or is splitting) if (1.1) holds for A1, ℬ, A2." @default.
- W1928207369 created "2016-06-24" @default.
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- W1928207369 date "1982-11-01" @default.
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- W1928207369 title "Markov Random Fields" @default.
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