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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Non-Additive Measure and Integral
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Non-Additive Measure and Integral
D. Denneberg (Broschiert, Englisch)
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Beschreibung
Non-Additive Measure and Integral is the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is generalized, at least for submodular measures which are characterized by having a subadditive integral. The theory is of interest for applications to economic decision theory (decisions under risk and uncertainty), to… statistics (including belief functions, fuzzy measures) to cooperative game theory, artificial intelligence, insurance, etc. Non-Additive Measure and Integral collects the results of scattered and often isolated approaches to non-additive measures and their integrals which originate in pure mathematics, potential theory, statistics, game theory, economic decision theory and other fields of application. It unifies, simplifies and generalizes known results and supplements the theory with new results, thus providing a sound basis for applications and further research in this growing field of increasing interest. It also contains fundamental results of sigma-additive and finitely additive measure and integration theory and sheds new light on additive theory. Non-Additive Measure and Integral employs distribution functions and quantile functions as basis tools, thus remaining close to the familiar language of probability theory. In addition to serving as an important reference, the book can be used as a mathematics textbook for graduate courses or seminars, containing many exercises to support or supplement the text. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
09.12.2010
Sprache
Englisch
EAN
9789048144044
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Theory and Decision Library B
Sonderedition
Nein
Autor
D. Denneberg
Seitenanzahl
178
Einbandart
Broschiert
Schlagwörter
artificial intelligence, bounded mean oscillation, decision theory, game theory, linear optimization, mathematics, measure, probability theory, statistics
Thema-Inhalt
PBKL - Integralrechnung und -gleichungen
KJT - Unternehmensforschung
KJMD - Management: Entscheidungstheorie
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBUD - Spieltheorie
Höhe
297 mm
Breite
21 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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