Interpretations of probability

書誌事項

Interpretations of probability

Andrei Khrennikov

VSP, 1999

大学図書館所蔵 件 / 4

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 215-223) and index

内容説明・目次

内容説明

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. Like geometry, probability can not be reduced to just one model to describe all physical and biological phenomena. Each model has a restricted range of applications. Quantum physics demonstrated that the use of conventional probability models induces some paradoxes. Such paradoxes can be resolved by using non-Kolmogorov probability models, developed on the basis of purely classical interpretations of probability: frequency and ensemble. Frequency models describe violations of the law of large numbers. Ensemble models are models with infinitely small probabilities. This is the first fundamental book devoted to non-Kolmogorov probability models. It provides the first mathematical theory of negative probabilities - with numerous applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative (frequency and ensemble) probabilities are developed in the framework of so called p-adic analysis. The book also contains an extremely interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social and psychological phenomena. This book will be of value and interest to specialists in probability theory, statistics, functional analysis, quantum physics and (partly) specialists in cognitive sciences and psychology.

目次

Frontmatter -- Contents -- I. Foundations of Probability Theory -- II. Quantum Probabilities -- III. Negative Probabilities -- IV. p-Adic Probability Theory -- V. Information and Probability -- VI. Tests for Randomness for p-adic Probability Theory -- Bibliography -- Index

「Nielsen BookData」 より

詳細情報

  • NII書誌ID(NCID)
    BA44844488
  • ISBN
    • 9067643106
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Utrecht ; Tokyo
  • ページ数/冊数
    228 p.
  • 大きさ
    26 cm
ページトップへ