Theory of probability : a critical introductory treatment
著者
書誌事項
Theory of probability : a critical introductory treatment
(Wiley classics library)
Interscience Publishers : Wiley, 1990
- v. 1
- v. 2
- タイトル別名
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Teoria delle probabilità
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
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v. 1 ISBN 9780471926115
内容説明
The first of a two-volume work aiming to provide 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.
目次
Concerning Certainty and Uncertainty. Prevision and Probability. Conditional Prevision and Probability. The Evaluation of Probabilities. Distributions. Index.
- 巻冊次
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v. 2 ISBN 9780471926122
内容説明
The second of a two-volume work aiming to provide 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.
目次
- Part 7 A preliminary survey: heads and tails - preliminary considerations
- heads and tails - the random process
- laws of "large numbers"
- the "central limit theorem". Part 8 Random processes with independent increments: the case of asymptotic normality
- the Wiener-Levy process
- behaviour and asymptotic behaviour
- ruin problems
- ballot problems. Part 9 An introduction to other types of stochastic process: Markov processes
- stationary processes. Part 10 Problems in higher dimensions: second-order characteristics and the normal distribution
- the discrete case
- the continuous case
- the case of spherical symmetry. Part 11 Inductive reasoning, statistical inference: the basic formulation and preliminary clarifications
- the case of independence and the case of dependence
- exchangeability. Part 12 Mathematical statistics: the scope and limits of the treatment
- the likelihood principle and sufficient statistics
- a Bayesian approach to "estimation" and "hypothesis testing"
- the connections with decision theory.
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