ENGLISH

Decision systems and nonstochastic randomness

By V. I. Ivanenko (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2010
ISBN
144195547X, 9781441955470
DOI
10.1007/978-1-4419-5548-7
Language
english
Format
PDF
Filesize
2 MB (1691557 bytes)
Edition
1
Pages
272\285
Library
Kolxo3
Scanned
yes
Time added
2010-07-29 05:14:56
EconomicsProbability Theory and Stochastic Processes; StatiSocial and Behav. Sciences; Operations Research/De

Description

“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 self-contained chapter of this neatly-structured 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.

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