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Titlebook: Basic Principles and Applications of Probability Theory; A.V. Skorokhod,Yu.V. Prokhorov Book 2005 Springer-Verlag Berlin Heidelberg 2005 M

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期刊全稱Basic Principles and Applications of Probability Theory
影響因子2023A.V. Skorokhod,Yu.V. Prokhorov
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圖書封面Titlebook: Basic Principles and Applications of Probability Theory;  A.V. Skorokhod,Yu.V. Prokhorov Book 2005 Springer-Verlag Berlin Heidelberg 2005 M
影響因子Probability theory arose originally in connection with games of chance and then for a long time it was used primarily to investigate the credibility of testimony of witnesses in the “ethical” sciences. Nevertheless, probability has become a very powerful mathematical tool in understanding those aspects of the world that cannot be described by deterministic laws. Probability has succeeded in ?nding strict determinate relationships where chance seemed to reign and so terming them “l(fā)aws of chance” combining such contrasting - tions in the nomenclature appears to be quite justi?ed. This introductory chapter discusses such notions as determinism, chaos and randomness, p- dictibility and unpredictibility, some initial approaches to formalizing r- domness and it surveys certain problems that can be solved by probability theory. This will perhaps give one an idea to what extent the theory can - swer questions arising in speci?c random occurrences and the character of the answers provided by the theory. 1. 1 The Nature of Randomness The phrase “by chance” has no single meaning in ordinary language. For instance, it may mean unpremeditated, nonobligatory, unexpected, and so on. Its opposite
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https://doi.org/10.1007/b137401Markov process; Probability theory; probability; probability space; random function; randomness; stochasti
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978-3-642-08121-7Springer-Verlag Berlin Heidelberg 2005
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Book 2005f testimony of witnesses in the “ethical” sciences. Nevertheless, probability has become a very powerful mathematical tool in understanding those aspects of the world that cannot be described by deterministic laws. Probability has succeeded in ?nding strict determinate relationships where chance see
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Basic Principles and Applications of Probability Theory
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Basic Principles and Applications of Probability Theory978-3-540-26312-8
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