Sur la séparabilité et la continuité des functions alétoires (Q1116533)

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scientific article; zbMATH DE number 4090478
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English
Sur la séparabilité et la continuité des functions alétoires
scientific article; zbMATH DE number 4090478

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    Sur la séparabilité et la continuité des functions alétoires (English)
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    1989
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    We study the processes which has a given separating set, S (in Doob's theory). The set of theirs laws is an extremal set of measures. We show, with the help of an almost sure continuity hypothesis, that the law of the process is determined by its projection on S. With only the hypothesis of continuity in probability, the projection on S of the law of the process has a property of extremality.
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    extremal set of measures
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    continuity in probability
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    property of extremality
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