LEADER 01362nam2 22003133i 450 001 MIL0092211 005 20231121125533.0 010 $a2503500498 100 $a19971029d1991 ||||0itac50 ba 101 | $afre 102 $abe 181 1$6z01$ai $bxxxe 182 1$6z01$an 200 1 $a˜1.2: L'œépoque carolingienne$fpar Franz Brunhölzl 210 $a[Turnhout]$cBrepols$dc1991 215 $a362 p.$d25 cm. 462 1$1001MIL0048670$12001 $a˜1: œDe Cassiodore à la fin de la renaissance carolingienne$fpar Franz Brunhölzl$v2$1700 1$aBrunhölzl$b, Franz$3VEAV009414$4070 700 1$aBrunhölzl$b, Franz$3VEAV009414$4070$0421749 801 3$aIT$bIT-01$c19971029 850 $aIT-RM028 $aIT-RM0281 $aIT-RM1163 $aIT-FR0017 899 $aBiblioteca Universitaria Alessandrina$bRM028 899 $aBIBLIOTECA VALLICELLIANA$bRM0281 899 $aIstituto Centrale Restauro Conservazione Patrimonio Archivistico Librario$bRM1163 $4S 899 $aBiblioteca umanistica Giorgio Aprea$bFR0017 $eN 912 $aMIL0092211 950 2$aBiblioteca umanistica Giorgio Aprea$d 52MAG 3 Coll E 2.1/2$e 52FLS0000011675 VMN RS $fA $h20161124$i20161124 977 $a 01$a 08$a 36$a 52 996 $aÉpoque carolingienne$93609338 997 $aUNICAS LEADER 03709nam 22007815 450 001 9910897979603321 005 20260121125437.0 010 $a9783031631900 010 $a3031631900 024 7 $a10.1007/978-3-031-63190-0 035 $a(CKB)36383529900041 035 $a(DE-He213)978-3-031-63190-0 035 $a(MiAaPQ)EBC31733027 035 $a(Au-PeEL)EBL31733027 035 $a(EXLCZ)9936383529900041 100 $a20241019d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProbability Theory I $eRandom Variables and Distributions /$fby Andrea Pascucci 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (XXI, 382 p. 24 illus., 16 illus. in color.) 225 1 $aLa Matematica per il 3+2,$x2038-5757 ;$v165 311 08$a9783031631894 311 08$a3031631897 320 $aIncludes bibliographical references and index. 327 $a1 Measures and probability spaces -- 2 Random variables -- 3 Sequences of random variables -- 4 Conditional probability -- 5 Summary exercises -- Appendix A: Dynkin?s theorems -- Appencix B: Absolute continuity -- Appendix C: Uniform integrability. 330 $aThis book provides a concise yet rigorous introduction to probability theory. Among the possible approaches to the subject, the most modern approach based on measure theory has been chosen: although it requires a higher degree of mathematical abstraction and sophistication, it is essential to provide the foundations for the study of more advanced topics such as stochastic processes, stochastic differential calculus and statistical inference. The text originated from the teaching experience in probability and applied mathematics courses within the mathematics degree program at the University of Bologna; it is suitable for second- or third-year students in mathematics, physics, or other natural sciences, assuming multidimensional differential and integral calculus as a prerequisite. The four chapters cover the following topics: measures and probability spaces; random variables; sequences of random variables and limit theorems; and expectation and conditional distribution. The text includes a collection of solved exercises. 410 0$aLa Matematica per il 3+2,$x2038-5757 ;$v165 606 $aStochastic processes 606 $aMathematical physics 606 $aProbabilities 606 $aEconometrics 606 $aMathematics 606 $aStochastic Processes 606 $aTheoretical, Mathematical and Computational Physics 606 $aProbability Theory 606 $aQuantitative Economics 606 $aMathematics 606 $aProbabilitats$2thub 606 $aProcessos estocàstics$2thub 606 $aXarxes neuronals (Informàtica)$2thub 608 $aLlibres electrònics$2thub 615 0$aStochastic processes. 615 0$aMathematical physics. 615 0$aProbabilities. 615 0$aEconometrics. 615 0$aMathematics. 615 14$aStochastic Processes. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aProbability Theory. 615 24$aQuantitative Economics. 615 24$aMathematics. 615 7$aProbabilitats 615 7$aProcessos estocàstics 615 7$aXarxes neuronals (Informàtica) 676 $a519.2 700 $aPascucci$b Andrea$0475297 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910897979603321 996 $aProbability Theory I$94215128 997 $aUNINA