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ON THE MARGINALS OF PROBABILITY CONTENTS ON LATTICES
Author(s) -
König Heinz
Publication year - 2012
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579311002427
Subject(s) - mathematics , assertion , probability measure , extension (predicate logic) , pure mathematics , type (biology) , measure (data warehouse) , discrete mathematics , algebra over a field , ecology , database , computer science , biology , programming language
The paper extends the fundamental existence assertion for probability contents and measures with given marginals: the extension is from algebras to lattices , and thus is in accord with an actual trend in measure and integration. The proof of the basic theorem is a rapid application of a former Hahn–Banach type separation theorem.