Theory of probability : a critical introductory treatment
著者
書誌事項
Theory of probability : a critical introductory treatment
（Wiley series in probability and mathematical statistics）
Wiley, 2017
- : [hbk.]
- タイトル別名
-
Teoria delle probabilità
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注記
Includes index
内容説明・目次
内容説明
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.
目次
- Foreword ix Preface xiii 1 Introduction 1 2 Concerning Certainty and Uncertainty 21 3 Prevision and Probability 59 4 Conditional Prevision and Probability 113 5 The Evaluation of Probabilities 153 6 Distributions 187 7 A Preliminary Survey 251 8 Random Processes with Independent Increments 311 9 An Introduction to Other Types of Stochastic Process 393 10 Problems in Higher Dimensions 401 11 Inductive Reasoning
- Statistical Inference 421 12 Mathematical Statistics 447 Appendix 475 Index 571
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