Non-Additive Measure and Integral
D. Denneberg
březen 2013 · Theory and Decision Library B Kniha 27 · Springer Science & Business Media
E‑kniha
178
Stránky
reportHodnocení a recenze nejsou ověřeny Další informace
Podrobnosti o e‑knize
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.
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.
Ohodnotit e‑knihu
Sdělte nám, co si myslíte.
Informace o čtení
Telefony a tablety
Nainstalujte si aplikaci Knihy Google Play pro Android a iPad/iPhone. Aplikace se automaticky synchronizuje s vaším účtem a umožní vám číst v režimu online nebo offline, ať jste kdekoliv.
Notebooky a počítače
Audioknihy zakoupené na Google Play můžete poslouchat pomocí webového prohlížeče v počítači.
Čtečky a další zařízení
Pokud chcete číst knihy ve čtečkách elektronických knih, jako např. Kobo, je třeba soubor stáhnout a přenést do zařízení. Při přenášení souborů do podporovaných čteček elektronických knih postupujte podle podrobných pokynů v centru nápovědy.
