Elements of probability and statistics [electronic resource] : an introduction to probability with de Finetti's approach and to Bayesian statistics / Francesca Biagini, Massimo Campanino.
Biagini, Francesca, author.; Campanino, Massimo, author.
2016
QA273
Available Online

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Title Elements of probability and statistics [electronic resource] : an introduction to probability with de Finetti's approach and to Bayesian statistics / Francesca Biagini, Massimo Campanino.
Author Biagini, Francesca, author.
Uniform Title Elementi de probabilità e statistica. English
translation of (work) Elementi de probabilità e statistica.
ISBN 9783319072548 (electronic book)
3319072544 (electronic book)
9783319072531
3319072536
DOI https://doi.org/10.1007/978-3-319-07254-8
Published Cham : Springer, 2016.
Language English
Description 1 online resource (xv, 246 pages) : illustrations.
Item Number 10.1007/978-3-319-07254-8 doi
Call Number QA273
Dewey Decimal Classification 519.2
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 29, 2016).
Added Author Campanino, Massimo, author.
Series Unitext ; v.98.
Available in Other Form Print version: 3319072536
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1 Random numbers
2 Discrete distributions
3 One-dimensional absolutely continuous distributions
4 Multi-dimensional absolutely continuous distributions
5 Convergence of distributions
6 Discrete time Markov chains
7 Continuous time Markov chains
8 Statistics
9 Combinatorics
10 Discrete distributions
11 One-dimensional absolutely continuous distributions
12 Absolutely continuous and multivariate distributions
13 Markov chains
14 Statistics
15 Elements of combinatorics
16 Relations between discrete and absolutely continuous distributions
17 Some discrete distributions
18 Some one-dimensional absolutely continuous distributions
19 The normal distribution
20 Stirling's formula
21 Elements of analysis
22 Bidimensional integrals.

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