01193nam a2200361 i 450099100115633970753620020507184257.0940526s1982 uk ||| | eng 0124003508b1080853x-39ule_instLE01307907ExLDip.to Matematicaeng512.522AMS 13-XXAMS 13CAMS 13EQA247.3Kasch, F.536174Modules and rings :a transl. of Moduln und Ringe /German text by F. Kasch ; translation and editing by D. A. R. WallaceLondon ; New York :Academic Press,1982xi, 372 p. ;24 cm.L.M.S. Monographs ;17Bibliography: p. 365-368.Includes indexModulesRingsWallace, D. A. R..b1080853x23-02-1728-06-02991001156339707536LE013 13-XX KAS11 (1982)12013000142906le013-E0.00-l- 03930.i1091368328-06-02Modules and rings925658UNISALENTOle01301-01-94ma -enguk 0103335nam 22005655 450 991057409400332120250316204149.09783030976798303097679310.1007/978-3-030-97679-8(MiAaPQ)EBC7000428(Au-PeEL)EBL7000428(CKB)22895217000041(PPN)269147985(DE-He213)978-3-030-97679-8(EXLCZ)992289521700004120220524d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierProbability and Random Variables: Theory and Applications /by Iickho Song, So Ryoung Park, Seokho Yoon1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (506 pages)Print version: Song, Iickho Probability and Random Variables: Theory and Applications Cham : Springer International Publishing AG,c2022 9783030976781 Includes bibliographical references and index.Preface -- 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.This 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.StatisticsProbabilitiesStatistical Theory and MethodsProbability TheoryStatistics.Probabilities.Statistical Theory and Methods.Probability Theory.519.2519.2Song Iickho1239806Park So RyoungYoon SeokhoMiAaPQMiAaPQMiAaPQBOOK9910574094003321Probability and random variables2988017UNINA