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Elements of Probability and Statistics An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics

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This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach. One of the features of this approach is that it does not require the introduction of sample space – a non-intrinsic concept that makes the treatment of elementary probability unnecessarily complicate – but introduces as fundamental the concept of random numbers directly related to their interpretation in applications. Events become a particular case of random numbers and probability a particular case of expectation when it is applied to events. The subjective evaluation of expectation and of conditional expectation is based on an economic choice of an acceptable bet or penalty. The properties of expectation and conditional expectation are derived by applying a coherence criterion that the evaluation has to follow. The book is suitable for all introductory courses in probability and statistics for students in Mathematics, Informatics, Engineering, and Physics.

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Publisher

: ., 2016

Collation

6 b/w illustrations, 27 illustrations in colour

Language

English

ISBN/ISSN

978-3-319-07254-8

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Business Mathematics
Statistical Theory and Methods
Probability Theory
Mathematical Methods in Physics
Probability and Statistics in Computer Science

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Statement of Responsibility

Francesca Biagini, Massimo Campanino

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agus

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Validator

Taufik

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