05300nam 22008775 450 991025408640332120200702035235.03-319-07254-410.1007/978-3-319-07254-8(CKB)3710000000579411(SSID)ssj0001616703(PQKBManifestationID)16346661(PQKBTitleCode)TC0001616703(PQKBWorkID)14922152(PQKB)11275547(DE-He213)978-3-319-07254-8(MiAaPQ)EBC6312940(MiAaPQ)EBC5588238(Au-PeEL)EBL5588238(OCoLC)1066191794(PPN)258853808(PPN)191705950(EXLCZ)99371000000057941120160122d2016 u| 0engurnn|008mamaatxtccrElements of Probability and Statistics An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics /by Francesca Biagini, Massimo Campanino1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XV, 246 p. 33 illus., 27 illus. in color.) La Matematica per il 3+2,2038-5722 ;98Bibliographic Level Mode of Issuance: Monograph3-319-07253-6 Includes bibliographical references and index.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.La Matematica per il 3+2,2038-5722 ;98ProbabilitiesStatistics Mathematical statisticsBusiness mathematicsPhysicsApplied mathematicsEngineering mathematicsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Statistical Theory and Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/S11001Probability and Statistics in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17036Business Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/523000Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Probabilities.Statistics .Mathematical statistics.Business mathematics.Physics.Applied mathematics.Engineering mathematics.Probability Theory and Stochastic Processes.Statistical Theory and Methods.Probability and Statistics in Computer Science.Business Mathematics.Mathematical Methods in Physics.Mathematical and Computational Engineering.519.2Biagini Francescaauthttp://id.loc.gov/vocabulary/relators/aut321758Campanino Massimoauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254086403321Elements of Probability and Statistics2174086UNINA