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Graph Theory and Probability [PDF]
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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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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2013
The theory of probability is the mathematical framework for the study of the probability of occurrence of events. The first step is to establish a method to assign the probability of an event, for example, the probability that a coin lands heads up after a toss.
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The theory of probability is the mathematical framework for the study of the probability of occurrence of events. The first step is to establish a method to assign the probability of an event, for example, the probability that a coin lands heads up after a toss.
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On the Frequency Theory of Probability
Philosophy and Phenomenological Research, 1945Not ...
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1984
Let us consider an experiment of which all possible results are included in a finite number of outcomes ω 1,..., ω N . We do not need to know the nature of these outcomes, only that there are a finite number N of them.
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Let us consider an experiment of which all possible results are included in a finite number of outcomes ω 1,..., ω N . We do not need to know the nature of these outcomes, only that there are a finite number N of them.
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Journal of the American Statistical Association, 1940
Harold Jeffreys, D. V. Lindley
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Harold Jeffreys, D. V. Lindley
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1987
The traditional thought that probability theory has its origins in gambling and games of chance seems well established, although many of the general ideas can already be found in the Old Testament (e.g., Sheynin, 1974). According to Todhunter (1949), one can find reference to probabilities for different throws of the dice in contemporary comments on ...
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The traditional thought that probability theory has its origins in gambling and games of chance seems well established, although many of the general ideas can already be found in the Old Testament (e.g., Sheynin, 1974). According to Todhunter (1949), one can find reference to probabilities for different throws of the dice in contemporary comments on ...
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The British Journal for the Philosophy of Science, 1988
This paper argues that probability is not an objective phenomenon that can be identified with either the configurational properties of sequences, or the dynamic properties of sources that generate sequences. Instead, it is proposed that probability is a function of subjective as well as objective conditions. This is explained by formulating a notion of
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This paper argues that probability is not an objective phenomenon that can be identified with either the configurational properties of sequences, or the dynamic properties of sources that generate sequences. Instead, it is proposed that probability is a function of subjective as well as objective conditions. This is explained by formulating a notion of
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2018
This book is the sixth edition of a classic text that was first published in 1950 in the former Soviet Union. The clear presentation of the subject and extensive applications supported with real data helped establish the book as a standard for the field. To date, it has been published into more that ten languages and has gone through five editions. The
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This book is the sixth edition of a classic text that was first published in 1950 in the former Soviet Union. The clear presentation of the subject and extensive applications supported with real data helped establish the book as a standard for the field. To date, it has been published into more that ten languages and has gone through five editions. The
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