Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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D. Denneberg 作者

Springer

譯者

1994-05-31 出版日期

189 頁數

USD 209.00 價格

Hardcover

叢書系列

9780792328407 圖書編碼

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發表於2024-12-28

Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Non-Additive Measure and Integral (Theory and Decision Library B) 在線電子書圖書描述

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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