Theory of probability : a critical introductory treatment

Author(s)

• De Finetti, Bruno

Bibliographic Information

Theory of probability : a critical introductory treatment

Bruno de Finetti ; translated by Antonio Machi and Adrian Smith

（Wiley classics library）

Interscience Publishers : Wiley, 1990

• v. 1
• v. 2

Other Title

Teoria delle probabilità

Note

Includes bibliographical references and index

Description and Table of Contents

Volume

v. 1 ISBN 9780471926115

Description

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.

Table of Contents

Concerning Certainty and Uncertainty. Prevision and Probability. Conditional Prevision and Probability. The Evaluation of Probabilities. Distributions. Index.

Volume

v. 2 ISBN 9780471926122

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BA10048197
• ISBN:
  • 0471926116
  • 0471926124
• LCCN: 89071734
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: ita
• Place of Publication: Chichester ; New York
• Pages/Volumes: 2 v.
• Size: 23 cm
• Classification:
  • LCC : QA273
  • DC20 : 519.2
• Subject Headings:
  • LCSH : Probabilities
• Parent Bibliography ID:
  • BA0437390X