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Theory of Probability: A Critical Introductory Treatment: 6 (Wiley Series in Probability and Statistics) - Hardcover

 
9781119286370: Theory of Probability: A Critical Introductory Treatment: 6 (Wiley Series in Probability and Statistics)

Inhaltsangabe

FIRST ISSUED IN TRANSLATION AS A TWO–VOLUME WORK IN 1975, THIS CLASSIC BOOK PROVIDES THE FIRST COMPLETE DEVELOPMENT OF THE THEORY OF PROBABILITY FROM A SUBJECTIVIST VIEWPOINT. IT PROCEEDS FROM A DETAILED DISCUSSION OF THE PHILOSOPHICAL MATHEMATICAL ASPECTS TO A DETAILED MATHEMATICAL TREATMENT OF PROBABILITY AND STATISTICS. DE FINETTI S THEORY OF PROBABILITY IS ONE OF THE FOUNDATIONS OF BAYESIAN THEORY. DE FINETTI STATED THAT PROBABILITY IS NOTHING BUT A SUBJECTIVE ANALYSIS OF THE LIKELIHOOD THAT SOMETHING WILL HAPPEN AND THAT THAT PROBABILITY DOES NOT EXIST OUTSIDE THE MIND.  IT IS THE RATE AT WHICH A PERSON IS WILLING TO BET ON SOMETHING HAPPENING.  THIS VIEW IS DIRECTLY OPPOSED TO THE CLASSICIST/ FREQUENTIST VIEW OF THE LIKELIHOOD OF A PARTICULAR OUTCOME OF AN EVENT, WHICH ASSUMES THAT THE SAME EVENT COULD BE IDENTICALLY REPEATED MANY TIMES OVER, AND THE 'PROBABILITY' OF A PARTICULAR OUTCOME HAS TO DO WITH THE FRACTION OF THE TIME THAT OUTCOME RESULTS FROM THE REPEATED TRIALS.

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Reseña del editor

First issued in translation as a two-volume work in 1975, this classic book provides the first complete development of the theory of probability from a subjectivist viewpoint. It proceeds from a detailed discussion of the philosophical mathematical aspects to a detailed mathematical treatment of probability and statistics. De Finetti s theory of probability is one of the foundations of Bayesian theory. De Finetti stated that probability is nothing but a subjective analysis of the likelihood that something will happen and that that probability does not exist outside the mind. It is the rate at which a person is willing to bet on something happening. This view is directly opposed to the classicist/ frequentist view of the likelihood of a particular outcome of an event, which assumes that the same event could be identically repeated many times over, and the 'probability' of a particular outcome has to do with the fraction of the time that outcome results from the repeated trials.

Biografía del autor

Bruno de Finetti (1906 - 1985) is today recognized as the greatest Italian applied mathematician of the 20th century. He published extensively and acquired an international reputation in the small world of probability mathematicians. He is noted for his operational subjective conception of probability and for de Finetti's theorem on exchangeable sequences of random variables.

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  • VerlagWiley
  • Erscheinungsdatum2017
  • ISBN 10 1119286379
  • ISBN 13 9781119286370
  • EinbandTapa dura
  • Anzahl der Seiten598

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Bruno de Finetti
Verlag: John Wiley & Sons, 2017
ISBN 10: 1119286379 ISBN 13: 9781119286370
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Gebunden. Zustand: NEW. First issued in translation as a two-volume work in 1975, this classic book provides the first complete development of the theory of probability from a subjectivist viewpoint. It proceeds from a detailed discussion of the philosophical mathematical aspects . Artikel-Nr. 556572572

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