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Theory of probability: a critical introductory treatment/ Bruno de Finetti

By: Series: Wiley series in probability and statisticsPublication details: UK: Wiley, 2017Description: xiii, 582 pages dig; 24 cmISBN:
  • 9781119286370
Subject(s): DDC classification:
  • 23rd 519.2 F496
Contents:
Introduction -- Concerning certainty and uncertainly -- Prevision and probability -- Conditional prevision and probability -- The Evaluation of probabilities -- Distributions -- A Preliminary survey -- Random processes with independent increments -- An Introduction to other types of stochastic process -- Problems in higher dimensions -- Inductive reasoning: statistical inference -- Mathematical statistics
Summary: This 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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Includes index

Introduction -- Concerning certainty and uncertainly -- Prevision and probability -- Conditional prevision and probability -- The Evaluation of probabilities -- Distributions -- A Preliminary survey -- Random processes with independent increments -- An Introduction to other types of stochastic process -- Problems in higher dimensions -- Inductive reasoning: statistical inference -- Mathematical statistics

This 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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