ISBN: 9789048144044

Non-Additive Measure and Integralis 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 Integralcollects 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 andIntegralemploys 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. D. Denneberg, Books, Non-Additive Measure and Integral Books, Springer-Verlag/Sci-Tech/Trade

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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.; Business, Finance & Law, Springer

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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. Books > Mathematics Soft cover, Springer Shop

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ISBN: 9789048144044

Non-Additive Measure and Integralis 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 Integralcollects 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 andIntegralemploys 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. Books List_Books

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ISBN: 9789048144044

Non-Additive Measure and Integralis the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is g… Meer...

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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 generali… Meer...

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ISBN: 9789048144044

Non-Additive Measure and Integralis the first systematic approach to the subject. Much of the additive theory (convergence theorems, Lebesgue spaces, representation theorems) is g… Meer...

new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten

2010, ISBN: 9789048144044

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Softcover reprint of hardcover 1st ed. 1994, Softcover, Buch, [PU: Springer]

Verzendingskosten:Versand in 7-9 Tagen, , Versandkostenfrei innerhalb der BRD. (EUR 0.00)

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** Gedetalleerde informatie over het boek. - Non-Additive Measure and Integral**

EAN (ISBN-13): 9789048144044

ISBN (ISBN-10): 9048144043

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pocket book

Verschijningsjaar: 2010

Uitgever: Springer-Verlag/Sci-Tech/Trade

192 Bladzijden

Gewicht: 0,299 kg

Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-12-20T23:07:24+01:00 (Amsterdam)

Detailpagina laatst gewijzigd op 2021-01-20T17:49:53+01:00 (Amsterdam)

ISBN/EAN: 9789048144044

ISBN - alternatieve schrijfwijzen:

90-481-4404-3, 978-90-481-4404-4

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