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On lexicographic probability relations - MaRDI portal

On lexicographic probability relations (Q1072417)

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scientific article; zbMATH DE number 3941204
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On lexicographic probability relations
scientific article; zbMATH DE number 3941204

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    On lexicographic probability relations (English)
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    1986
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    The paper examines conditions under which a probability relation on a set of events is lexicographic. A probability relation is called lexicographic if there is an event A such that events are ordered lexicographically by their intervections with A and ''not A''. The main result of the paper is that for tight probability relations, if in one of the maximal chains of events with probability zero there exists a maximal event (containing all the events of this chain), then the probability relation is lexicographic.
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    lexicographic probabiity relation
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    tight probability relations
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