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Non-Additive Measure and Integral - D. Denneberg
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D. Denneberg:

Non-Additive Measure and Integral - Paperback

2010, ISBN: 9048144043

[EAN: 9789048144044], New book, [SC: 12.13], [PU: Springer Netherlands], ARTIFICIALINTELLIGENCE; BOUNDEDMEANOSCILLATION; DECISIONTHEORY; GAMETHEORY; LINEAROPTIMIZATION; MATHEMATICS; PROBA… More...

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Non-Additive Measure and Integral: 27 (Theory and Decision Library B, 27) - Denneberg, D.
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Denneberg, D.:

Non-Additive Measure and Integral: 27 (Theory and Decision Library B, 27) - Paperback

2010, ISBN: 9789048144044

Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 1994, 188 Seiten, Publiziert: 2010-12-09T00:00:01Z, Produktgruppe: Book, 0.28 kg, Decision Making, Management Skills, … More...

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Non-Additive Measure and Integral (Theory and Decision Library B, 27) - Denneberg, D.
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Denneberg, D.:
Non-Additive Measure and Integral (Theory and Decision Library B, 27) - Paperback

2010

ISBN: 9789048144044

Springer, Paperback, Auflage: Softcover reprint of hardcover 1st ed. 1994, 188 Seiten, Publiziert: 2010-12-09T00:00:01Z, Produktgruppe: Book, 0.28 kg, Operations Research, Processes & Inf… More...

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Non-Additive Measure and Integral (Theory and Decision Library B) (Theory and Decision Library B, 27, Band 27) - Denneberg, Dieter
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Denneberg, Dieter:
Non-Additive Measure and Integral (Theory and Decision Library B) (Theory and Decision Library B, 27, Band 27) - Paperback

2010, ISBN: 9789048144044

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1994, 192 Seiten, Publiziert: 2010-12-08T00:00:01Z, Produktgruppe: Buch, 0.61 kg, Recht, Kategorien, Bücher, Kosten … More...

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Non-Additive Measure and Integral (Theory and Decision Library B) [Soft Cover ] - Denneberg, D.
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Denneberg, D.:
Non-Additive Measure and Integral (Theory and Decision Library B) [Soft Cover ] - Paperback

2010, ISBN: 9048144043

[EAN: 9789048144044], Nieuw boek, [SC: 16.34], [PU: Springer], Books

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Non-Additive Measure and Integral (Theory and Decision Library B, 27)
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ISBN:

9789048144044


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.

Details of the book - Non-Additive Measure and Integral (Theory and Decision Library B, 27)


EAN (ISBN-13): 9789048144044
ISBN (ISBN-10): 9048144043
Hardcover
Paperback
Publishing year: 2010
Publisher: Springer
192 Pages
Weight: 0,299 kg
Language: eng/Englisch

Book in our database since 2011-12-20T22:07:24+00:00 (London)
Detail page last modified on 2023-11-05T17:54:25+00:00 (London)
ISBN/EAN: 9789048144044

ISBN - alternate spelling:
90-481-4404-3, 978-90-481-4404-4
Alternate spelling and related search-keywords:
Book author: denneberg dieter, lebesgue
Book title: measure for measure, the last measure, non additive measure and integral

Information from Publisher

Author: D. Denneberg
Title: Theory and Decision Library B; Non-Additive Measure and Integral
Publisher: Springer; Springer Netherland
178 Pages
Publishing year: 2010-12-09
Dordrecht; NL
Printed / Made in
Language: English
267,49 € (DE)
274,99 € (AT)
295,00 CHF (CH)
POD
X, 178 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Integralrechnung und -gleichungen; Verstehen; artificial intelligence; bounded mean oscillation; decision theory; game theory; linear optimization; mathematics; measure; probability theory; statistics; Measure and Integration; Operations Research and Decision Theory; Statistics; Game Theory; Unternehmensforschung; Management: Entscheidungstheorie; Wahrscheinlichkeitsrechnung und Statistik; Spieltheorie; BB

1 Integration of Monotone Functions on Intervals.- 2 Set Functions and Caratheodory Measurability.- 3 Construction of Measures using Topology.- 4 Distribution Functions, Measurability and Comonotonicity of Functions.- 5 The Asymmetric Integral.- 6 The Subadditivity Theorem.- 7 The Symmetric Integral.- 8 Sequences of Functions and Convergence Theorems.- 9 Nullfunctions and the Lebesgue Spaces Lp.- 10 Families of Measures and their Envelopes.- 11 Densities and the Radon-Nikodym Theorem.- 12 Products.- 13 Representing Functionals as Integrals.- References.

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