Non-Additive Measure and Integral (Theory and Decision Library B) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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D. Denneberg 作者

Springer

译者

1994-05-31 出版日期

189 页数

USD 209.00 价格

Hardcover

丛书系列

9780792328407 图书编码

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Non-Additive Measure and Integral (Theory and Decision Library B) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Non-Additive Measure and Integral (Theory and Decision Library B) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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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.

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