Titlebook: Non-Additive Measure and Integral; Dieter Denneberg Book 1994 Springer Science+Business Media Dordrecht 1994 artificial intelligence.bound

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Book 1994oviding a sound basisfor applications and further research in this growing field ofincreasing interest. It also contains fundamental results ofsigma-additive and finitely additive measure and integration theoryand sheds new light on additive theory..Non-Additive Measureand. .Integral. employs distri

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s, thus providing a sound basisfor applications and further research in this growing field ofincreasing interest. It also contains fundamental results ofsigma-additive and finitely additive measure and integration theoryand sheds new light on additive theory..Non-Additive Measureand. .Integral. employs distri978-90-481-4404-4978-94-017-2434-0

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. Zum guten Verständnis des Stoffes sollen auch die zahlreichen voll durch­ gerechneten Beispiele beitragen. Das Buch gliedert sich in sieben Abschnitte. Im 1. Abschnitt wird zunächst der Dirac­ Impuls eingeführt. Nach einer Einführung der Begriffe Übertragungsfunktion und Impuls­ antwort wird die Berechnung 978-3-322-86305-8

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Distribution Functions, Measurability and Comonotonicity of Functions,are crucial. In this situation a function is called measurable if a unique distribution function can be assigned to it. Greco’s characterization of measurability will be given and we prove the important theorem on measurability of sums of measurable functions.

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ue spaces, representation theorems) isgeneralized, at least for submodular measures which are characterizedby having a subadditive integral. The theory is of interest forapplications to economic decision theory (decisions under risk anduncertainty), to statistics (including belief functions, fuzzyme

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Sequences of Functions and Convergence Theorems,erent types of convergence are important, too, in probability theory and statistics. By the way we get some information on measurability of the limit function even if the set function is not continuous.

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