LEADER 04797nam 22007815 450 001 9910254071103321 005 20250329051018.0 010 $a9783319456140 (ebook) 010 $a9783319456133 (hbk.) 010 $a9783319833316 (pbk.) 024 7 $a10.1007/978-3-319-45614-0 035 $a(MiAaPQ)EBC5610426 035 $a(MiAaPQ)EBC6312945 035 $a(Au-PeEL)EBL5610426 035 $a(OCoLC)962855786 035 $a(PPN)197137830 035 $a(CKB)3710000001006485 035 $a(DE-He213)978-3-319-45614-0 035 $a(EXLCZ)993710000001006485 100 $a20161107d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEssentials of Stochastic Processes /$fby Richard Durrett 205 $a3rd ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (ix, 275 p.) $cill 225 1 $aSpringer Texts in Statistics,$x2197-4136 320 $aIncludes bibliographical references and index. 327 $a1) Markov Chains -- 2) Poisson Processes -- 3) Renewal Processes -- 4) Continuous Time Markov Chains -- 5) Martingales -- 6) Mathematical Finance -- 7) A Review of Probability. 330 $aBuilding upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader?s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance. ? A concise treatment and textbook on the most important topics in Stochastic Processes ? Illustrates all concepts with examples and presents more than 300 carefully chosen exercises for effective learning ? New edition includes added and revised exercises, including many biological exercises, in addition to restructured and rewritten sections with a goal toward clarity and simplicity Richard Durrett received his Ph.D. in Operations Research from Stanford in 1976. He taught at the UCLA mathematics department for 9 years and at Cornell for 25 years before moving to Duke in 2010. He is author of 8 books and more than 200 journal articles and has supervised more that 45 Ph.D. students. He is a member of the National Academy of Science. Most of his current research concerns the applications of probability to biology: ecology, genetics, and cancer modeling. 410 0$aSpringer Texts in Statistics,$x2197-4136 606 $aStatistics 606 $aProbabilities 606 $aStatistics 606 $aOperations research 606 $aManagement science 606 $aPopulation genetics 606 $aEconometrics 606 $aStatistical Theory and Methods 606 $aProbability Theory 606 $aStatistics in Business, Management, Economics, Finance, Insurance 606 $aOperations Research, Management Science 606 $aPopulation Genetics 606 $aQuantitative Economics 615 0$aStatistics. 615 0$aProbabilities. 615 0$aStatistics. 615 0$aOperations research. 615 0$aManagement science. 615 0$aPopulation genetics. 615 0$aEconometrics. 615 14$aStatistical Theory and Methods. 615 24$aProbability Theory. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 615 24$aOperations Research, Management Science. 615 24$aPopulation Genetics. 615 24$aQuantitative Economics. 676 $a519.2 700 $aDurrett$b Richard$f1951-$055577 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910254071103321 996 $aEssentials of stochastic processes$973469 997 $aUNINA