LEADER 03335nam 22005655 450 001 9910574094003321 005 20250316204149.0 010 $a9783030976798 010 $a3030976793 024 7 $a10.1007/978-3-030-97679-8 035 $a(MiAaPQ)EBC7000428 035 $a(Au-PeEL)EBL7000428 035 $a(CKB)22895217000041 035 $a(PPN)269147985 035 $a(DE-He213)978-3-030-97679-8 035 $a(EXLCZ)9922895217000041 100 $a20220524d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProbability and Random Variables: Theory and Applications /$fby Iickho Song, So Ryoung Park, Seokho Yoon 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (506 pages) 311 08$aPrint version: Song, Iickho Probability and Random Variables: Theory and Applications Cham : Springer International Publishing AG,c2022 9783030976781 320 $aIncludes bibliographical references and index. 327 $aPreface -- Chapter 1 - Preliminaries -- Chapter 2 - Fundamentals of Probability -- Chapter 3 - Random Variables -- Chapter 4 - Random Vectors -- Chapter 5 - Normal Random Vectors -- Chapter 6 - Convergence of Random Variables -- Answers to Selected Exercises -- Index. 330 $aThis book discusses diverse concepts and notions ? and their applications ? concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for. Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise. 606 $aStatistics 606 $aProbabilities 606 $aStatistical Theory and Methods 606 $aProbability Theory 615 0$aStatistics. 615 0$aProbabilities. 615 14$aStatistical Theory and Methods. 615 24$aProbability Theory. 676 $a519.2 676 $a519.2 700 $aSong$b Iickho$01239806 702 $aPark$b So Ryoung 702 $aYoon$b Seokho 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910574094003321 996 $aProbability and random variables$92988017 997 $aUNINA