LEADER 03956nam 22007215 450 001 9910437878803321 005 20220330165045.0 010 $a1-4614-4057-2 024 7 $a10.1007/978-1-4614-4057-4 035 $a(CKB)2670000000299657 035 $a(EBL)1030490 035 $a(OCoLC)823384877 035 $a(SSID)ssj0000813450 035 $a(PQKBManifestationID)11446198 035 $a(PQKBTitleCode)TC0000813450 035 $a(PQKBWorkID)10769162 035 $a(PQKB)10422269 035 $a(DE-He213)978-1-4614-4057-4 035 $a(MiAaPQ)EBC1030490 035 $a(MiAaPQ)EBC6313110 035 $a(PPN)16829916X 035 $a(EXLCZ)992670000000299657 100 $a20121204d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInformal introduction to Stochastic Processes with Maple /$fby Jan Vrbik, Paul Vrbik 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013. 215 $a1 online resource (288 p.) 225 1 $aUniversitext,$x0172-5939 300 $aDescription based upon print version of record. 311 $a1-4614-4056-4 320 $aIncludes bibliographical references and index. 327 $aContents -- Preface -- Finite Markov Chains -- Finite Markov Chains II -- Branching Processes -- Renewal Theory -- Poisson Process -- Birth and Death Processes I -- Birth and Death Processes II -- Continuous-Time Markov Chains -- Brownian Motion -- Autoregressive Models -- Basic Probability Review -- Maple Programming -- References. 330 $aThe book presents an introduction to Stochastic Processes including Markov Chains, Birth and Death processes, Brownian motion and Autoregressive models. The emphasis is on simplifying both the underlying mathematics and the conceptual understanding of random  processes. In particular, non-trivial computations are delegated to  a computer-algebra system, specifically Maple (although other  systems can be easily substituted). Moreover, great care is taken to  properly  introduce the required mathematical tools (such as  difference  equations and generating functions) so that even students  with only  a basic mathematical background will find the book  self-contained.  Many detailed examples are given throughout the text  to facilitate  and reinforce learning.  Jan Vrbik has been a Professor of Mathematics and Statistics at Brock University in St Catharines, Ontario, Canada, since 1982. Paul Vrbik is currently a PhD candidate in Computer Science at the University of Western Ontario in London, Ontario, Canada. 410 0$aUniversitext,$x0172-5939 606 $aProbabilities 606 $aStatistics  606 $aOperations research 606 $aManagement science 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aStatistics and Computing/Statistics Programs$3https://scigraph.springernature.com/ontologies/product-market-codes/S12008 606 $aOperations Research, Management Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M26024 615 0$aProbabilities. 615 0$aStatistics . 615 0$aOperations research. 615 0$aManagement science. 615 14$aProbability Theory and Stochastic Processes. 615 24$aStatistics and Computing/Statistics Programs. 615 24$aOperations Research, Management Science. 676 $a512.002855369 700 $aVrbik$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0521623 702 $aVrbik$b Paul$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437878803321 996 $aInformal Introduction to Stochastic Processes with Maple$92513066 997 $aUNINA