Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/95337
Authors: 
Berti, Patrizia
Pratelli, Luca
Rigo, Pietro
Year of Publication: 
2009
Series/Report no.: 
Quaderni di Dipartimento 096
Abstract: 
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.
Subjects: 
Atomic probability measure
Gibbs sampling
Graphical models
Intersection property
Iterated conditional expectations
Document Type: 
Working Paper

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