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Probability Theory, An Analytic View
The third edition of this highly regarded text provides a rigorous, yet entertaining, introduction to probability theory and the analytic ideas and tools on which the modern theory relies. The main changes are the inclusion of the Gaussian isoperimetric inequality plus many improvements and clarifications throughout the text.
Stroock, Daniel W
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U ovom radu cemo se upoznati sa osnovama kombinatorike i vjerojatnosti te njihovoj povezanost i primjeni u svakodnevnom životu te u mnogim podrucjima znanosti.
Tek, Sanja
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Transactions of the Faculty of Actuaries, 1950
SynopsisVarious definitions of mathematical probability are described and commented upon: (i) the classical formulation, based on the ratio of favourable to total “equally likely” aspects of a system; (ii) formulations based on relative frequency in a sequence of trials, or on the limit of relative frequency as the number of trials is increased ...
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SynopsisVarious definitions of mathematical probability are described and commented upon: (i) the classical formulation, based on the ratio of favourable to total “equally likely” aspects of a system; (ii) formulations based on relative frequency in a sequence of trials, or on the limit of relative frequency as the number of trials is increased ...
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The British Journal for the Philosophy of Science, 1995
Summary: My title is intended to recall \textit{T. L. Fine}'s excellent survey, Theories of probability (Academic Press, New York) (1973; Zbl 0275.60006). I shall consider some developments that have occurred in the intervening years, and try to place some of the theories he discussed in what is now a slightly longer perspective.
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Summary: My title is intended to recall \textit{T. L. Fine}'s excellent survey, Theories of probability (Academic Press, New York) (1973; Zbl 0275.60006). I shall consider some developments that have occurred in the intervening years, and try to place some of the theories he discussed in what is now a slightly longer perspective.
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On the Frequency Theory of Probability
Philosophy and Phenomenological Research, 1945Not ...
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Oberwolfach Reports, 2006
The workshop Free Probability Theory , organised by Philippe Biane (Paris), Roland Speicher (Kingston), and Dan Voiculescu (Berkeley) was held March 27th–April 2nd, 2005. This meeting was well attended with over 50 participants with broad geographic representation from Austria, Canada ...
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The workshop Free Probability Theory , organised by Philippe Biane (Paris), Roland Speicher (Kingston), and Dan Voiculescu (Berkeley) was held March 27th–April 2nd, 2005. This meeting was well attended with over 50 participants with broad geographic representation from Austria, Canada ...
Philippe Biane +2 more
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The probabilities of theories as frequencies
Synthese, 1977From the beginning of his career, Reichenbach studied the role that probability played both in modern physical theory and in epistemology.1 He was, with Richard von Mises, one of the foremost proponents of the frequency theory of probability and axiomatized a very general form of it.
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Canadian Journal of Mathematics, 1959
A well-known theorem of Ramsay (8; 9) states that to every n there exists a smallest integer g(n) so that every graph of g(n) vertices contains either a set of n independent points or a complete graph of order n, but there exists a graph of g(n) — 1 vertices which does not contain a complete subgraph of n vertices and also does not contain a set of n ...
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A well-known theorem of Ramsay (8; 9) states that to every n there exists a smallest integer g(n) so that every graph of g(n) vertices contains either a set of n independent points or a complete graph of order n, but there exists a graph of g(n) — 1 vertices which does not contain a complete subgraph of n vertices and also does not contain a set of n ...
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Equipossibility Theories of Probability
The British Journal for the Philosophy of Science, 1971This paper will explain why probability was for so long defined in terms of equally possible cases. The definition is usually attributed to Laplace. It preceded him by a century and survived him by another two. How could so monstrous a definition have survived three hundred articulate years? The trouble with the definition seems obvious enough.
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Theory of probability and theory of numbers
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1992A new theory of probability is proposed where the probability of an event can belong to the field of \(p\)-adic numbers \(Q_ p\) and to general topological completions of the field of rational numbers. There is a fruitful theory of integration of non-Archimedean valued functions. Thus the dispersion can be negative and even imaginary.
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