ENGLISH

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

By Francesca Biagini , Massimo Campanino

Book information

Publisher
Springer
Year
2016
ISBN
3319072536, 9783319072531
Language
english
Format
PDF
Filesize
4 MB (3848046 bytes)
Series
UNITEXT
Edition
1st ed. 2016
Pages
246\246
Orientation
yes
Scanned
no
Time added
2016-01-29 02:19:33

Description

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.p

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