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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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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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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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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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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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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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Nature, 1949
THE first edition of this now famous treatise appeared in 1939, and the review in Nature in the following year by Mr. M. G. Kendall gives a good account of the theory developed by Prof. Jeffreys. I shall therefore give here only a general comment on the point of view adopted in the work, while noting also some of the new features of the present edition.
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THE first edition of this now famous treatise appeared in 1939, and the review in Nature in the following year by Mr. M. G. Kendall gives a good account of the theory developed by Prof. Jeffreys. I shall therefore give here only a general comment on the point of view adopted in the work, while noting also some of the new features of the present edition.
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