TY - GEN AU - Finettti,Bruno de TI - Theory of probability: : a critical introductory treatment T2 - Wiley series in probability and statistics SN - 9781119286370 U1 - 519.2 23rd PY - 2017/// CY - UK PB - Wiley KW - Statistics KW - Probability N1 - 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 N2 - 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 ER -