000 02317nam a2200337Ia 4500
001 000011488
003 WSP
005 20220711214222.0
007 cr |uu|||uu|||
008 191025t20192020si a ob 001 0 eng d
040 _aWSPC
_beng
_cWSPC
020 _a9789811207914
_q(ebook)
020 _z9789811207907
_q(hbk.)
020 _z9789811208973
_q(pbk.)
050 0 4 _aQA274
_b.R68 2020
082 0 4 _a519.2
_223
100 1 _aRosenthal, Jeffrey S.
_921272
245 1 2 _aA first look at stochastic processes
_h[electronic resource] /
_cJeffrey S. Rosenthal.
260 _aSingapore :
_bWorld Scientific Publishing Co. Pte Ltd.,
_c2019, ©2020.
300 _a1 online resource (212 p.) :
_bill.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
588 _aOnline resource; title from title screen (World Scientific, viewed October 25, 2019).
504 _aIncludes bibliographical references and index.
520 _a"This textbook introduces the theory of stochastic processes, that is, randomness which proceeds in time. Using concrete examples like repeated gambling and jumping frogs, it presents fundamental mathematical results through simple, clear, logical theorems and examples. It covers in detail such essential material as Markov chain recurrence criteria, the Markov chain convergence theorem, and optional stopping theorems for martingales. The final chapter provides a brief introduction to Brownian motion, Markov processes in continuous time and space, Poisson processes, and renewal theory. Interspersed throughout are applications to such topics as gambler's ruin probabilities, random walks on graphs, sequence waiting times, branching processes, stock option pricing, and Markov Chain Monte Carlo (MCMC) algorithms. The focus is always on making the theory as well-motivated and accessible as possible, to allow students and readers to learn this fascinating subject as easily and painlessly as possible."--
_cPublisher's website.
650 0 _aStochastic processes.
_93246
650 0 _aStochastic processes
_xMathematical models.
_921273
650 0 _aElectronic books.
_921274
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11488#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72806
_d72806