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Berti, Patrizia
Pratelli, Luca
Rigo, Pietro
Year of Publication: 
Series/Report no.: 
Quaderni di Dipartimento 096
Let (omega,F,P) be a probability space. For each G in F, define G as the s-field generated by G and those sets f in F satisfying P(f) in {0, 1}. Conditions for P to be atomic on the intersection of the complements of Ai for i=1,..,k, with A1, . . . ,Ak in F sub-s-fields, are given. Conditions for P to be 0-1-valued on the intersection of the complements of Ai for i=1,..,k are given as well. These conditions are useful in various fields, including Gibbs sampling, iterated conditional expectations and the intersection property.
Atomic probability measure
Gibbs sampling
Graphical models
Intersection property
Iterated conditional expectations
Document Type: 
Working Paper

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