TY - BOOK
AU - De Finetti,Bruno
AU - MachÃ¬,Antonio
AU - Smith,Adrian
TI - Theory of probability: a critical introductory treatment
T2 - Wiley series in probability and statistics
SN - 9781119286370
U1 - 519.2 23
PY - 2017///
CY - Chichester
PB - John Wiley & Sons
KW - Probabilities
N1 - Includes bibliographical references and index; 1. Introduction --
2. Concerning certainty and uncertainty --
3. Prevision and probability --
4. Conditional prevision and probability --
5. The evaluation of probabilities --
6. Distributions --
7. A preliminary survey --
8. Random processes with independent increments --
9. An introduction to other types of stochastic process --
10. Problems in higher dimensions --
11. Inductive reasoning; statistical inference --
12. Mathematical statistics
N2 - 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.
ER -