國立虎尾科技大學 |

Elements of probability and statistics = an introduction to probability with de Finetti's approach and to Bayesian statistics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Elements of probability and statistics/ by Francesca Biagini, Massimo Campanino.
其他題名:	an introduction to probability with de Finetti's approach and to Bayesian statistics /
作者:	Biagini, Francesca.
其他作者:	Campanino, Massimo.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	xv, 246 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Probabilities. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-07254-8
ISBN:	9783319072548

Elements of probability and statistics = an introduction to probability with de Finetti's approach and to Bayesian statistics /
Biagini, Francesca.

Elements of probability and statisticsan introduction to probability with de Finetti's approach and to Bayesian statistics /[electronic resource] :by Francesca Biagini, Massimo Campanino. - Cham :Springer International Publishing :2016. - xv, 246 p. :ill. (some col.), digital ;24 cm. - UNITEXT,v.982038-5714 ;. - UNITEXT ;v.85..

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.

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.

ISBN: 9783319072548

Standard No.: 10.1007/978-3-319-07254-8doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273

Dewey Class. No.: 519.2

Elements of probability and statistics = an introduction to probability with de Finetti's approach and to Bayesian statistics /
LDR:02972nam a2200349 a 4500 001 862250
003 DE-He213
005 20160818131919.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319072548 $q (electronic bk.)
020 $a 9783319072531 $q (paper)
024 7 $a 10.1007/978-3-319-07254-8 $2 doi
035 $a 978-3-319-07254-8
040 $a GP $c GP
041 1 $a eng $h ita
050 4 $a QA273
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.2 $2 23
090 $a QA273 $b .B576 2016
100 1 $a Biagini, Francesca. $3 679081
240 1 0 $a Elementi de probabilita e statistica. $l English
245 1 0 $a Elements of probability and statistics $h [electronic resource] : $b an introduction to probability with de Finetti's approach and to Bayesian statistics / $c by Francesca Biagini, Massimo Campanino.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xv, 246 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a UNITEXT, $x 2038-5714 ; $v v.98
505 0 $a 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.
520 $a 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.
650 0 $a Probabilities. $3 527847
650 0 $a Mathematical statistics. $3 527941
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Probability and Statistics in Computer Science. $3 669886
650 2 4 $a Business Mathematics. $3 1063156
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 669335
700 1 $a Campanino, Massimo. $3 1105492
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a UNITEXT ; $v v.85. $3 1066698
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-07254-8
950 $a Mathematics and Statistics (Springer-11649)