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Interpretations of Probability (Hardcover, Reprint 2019)
Loot Price: R4,875
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Interpretations of Probability (Hardcover, Reprint 2019)
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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.
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