Decision Systems and Nonstochastic Randomness

  • V. I. Ivanenko

Table of contents

  1. Front Matter
    Pages i-xii
  2. V. I. Ivanenko
    Pages 1-7
  3. V. I. Ivanenko
    Pages 9-37
  4. V. I. Ivanenko
    Pages 39-70
  5. V. I. Ivanenko
    Pages 71-107
  6. V. I. Ivanenko
    Pages 109-129
  7. V. I. Ivanenko
    Pages 131-148
  8. V. I. Ivanenko
    Pages 205-208
  9. Back Matter
    Pages 209-272

About this book

Introduction

“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.

Keywords

Measure Probability theory STATISTICA Stochastic model Stochastic models information theory modeling

Authors and affiliations

  • V. I. Ivanenko
    • 1
  1. 1.Kyiv Polytechnic InstituteKyivUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-5548-7
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-5547-0
  • Online ISBN 978-1-4419-5548-7
  • About this book