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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Elements of Probability and Statistics ([EBook]) : An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics / / by Francesca Biagini, Massimo Campanino.
Author	Biagini, Francesca
Added Personal Name	Campanino, Massimo author.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2016.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XV, 246 p. 33 illus., 27 illus. in color. : online resource.
Series	Unitext 2038-5714 ; ; 98
ISBN	9783319072548
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-07254-8
Links to Related Works	Subject References: Applied mathematics . Appl.Mathematics/Computational Methods of Engineering . Business Mathematics . Engineering mathematics . Mathematical Methods in Physics . Mathematical Statistics . Mathematics . Physics . Probabilities . Probability and Statistics in Computer Science . Probability theory and stochastic processes . Statistical Theory and Methods . Statistics . Authors: Biagini, Francesca . Campanino, Massimo . Corporate Authors: SpringerLink (Online service) . Series: Unitext . Classification: 519.2 . 519.2 (DDC 23) .

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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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