TY - BOOK AU - De Finetti,Bruno AU - Machì,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 -