Overview
- Comprised of new results concerning mathematical formalization of non-stochastic mass events
- Can serve as a comprehensive intro to the theory of statistical regularities, introducing techniques and applications
- Presents a unique systems approach to decision making and decision theory with insights into the general decision and Bayesian problems
- Includes an appendix of classical results in the theory of functions and measured sets
- Includes supplementary material: sn.pub/extras
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About this book
"Decision Systems and Non-stochastic Randomness" is the first systematic presentation and mathematical formalization (including existence theorems) of the statistical regularities of non-stochastic randomness. The results presented in this book extend the capabilities of probability theory by providing mathematical techniques that allow for the description of uncertain events that do not fit standard stochastic models.
The book demonstrates how non-stochastic regularities can be incorporated into decision theory and information theory, offering an alternative to the subjective probability approach to uncertainty and the unified approach to the measurement of information.
This book is intended for statisticians, mathematicians, engineers, economists or other researchers interested in non-stochastic modeling and decision theory.
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Decision Systems and Nonstochastic Randomness
Authors: V. I. Ivanenko
DOI: https://doi.org/10.1007/978-1-4419-5548-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-1-4419-5547-0Published: 01 April 2010
Softcover ISBN: 978-1-4899-8496-8Published: 07 November 2014
eBook ISBN: 978-1-4419-5548-7Published: 17 May 2010
Edition Number: 1
Number of Pages: XII, 272
Topics: Probability Theory and Stochastic Processes, Applications of Mathematics, Business Mathematics, Statistical Theory and Methods, Game Theory, Economics, Social and Behav. Sciences, Operations Research/Decision Theory