Decision Systems and Nonstochastic Randomness

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ISBN: 144195547X
ISBN 13: 9781441955470
Autor: Ivanenko, V I
Verlag: Springer Verlag GmbH
Umfang: xii, 272 S.
Erscheinungsdatum: 01.04.2010
Auflage: 1/2010
Produktform: Gebunden/Hardback
Einband: GEB

„Decision Systems and Nonstochastic Randomness“ presents the first mathematical formalization of the statistical regularities of non-stochastic randomness and demonstrates how these regularities extend the standard probability-based model of decision making under uncertainty, allowing for the description of uncertain mass events that do not fit standard stochastic models. Each selfcontained chapter of this neatlystructured monograph includes a detailed introduction and summary of its contents. The included results are presented not only with rigorous proofs but also through numerous intuitive examples. An appendix is provided which includes classic results from the theory of functions and measured sets as well as decision theory, offering an overview of the necessary prerequisites. The formalism of statistical regularities developed in this book will have a significant influence on decision theory and information theory as well as numerous other disciplines. Because of these far-reaching implications, this book may be a useful resource for statisticians, mathematicians, engineers, economists and other utilizing nonstochastic modeling and decision theory.

Artikelnummer: 1836859 Kategorie:

Beschreibung

InhaltsangabeDecision Systems.- Indifferent Uncertainty.- Nonstochastic Randomness.- General Decision Problems.- Experiment in Decision Problems.- Informativity of Experiment in Bayesian Decision Problems.- Reducibility of Experiments in Multistep Decision Problems.- Concluding Remarks.

Autorenporträt

InhaltsangabeDecision Systems.- Indifferent Uncertainty.- Nonstochastic Randomness.- General Decision Problems.- Experiment in Decision Problems.- Informativity of Experiment in Bayesian Decision Problems.- Reducibility of Experiments in Multistep Decision Problems.- Concluding Remarks.

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