000			02311 a2200241 4500
003			OSt
005			20240117122243.0
008			230504b xxu||||| |||| 00| 0 eng d
020			_a9780198847595
040			_cIIT Kanpur
041			_aeng
082			_a519.2 _bG883p4
100			_aGrimmett, Geoffrey R.
245			_aProbability and random processes [4th ed.] _cGeoffrey R. Grimmett and David R. Stirzaker
250			_a4th ed.
260			_bOxford University Press _c2020 _aOxford
300			_axii,669p
520			_aThe fourth edition of this successful text provides an introduction to probability and random processes, with many practical applications. It is aimed at mathematics undergraduates and postgraduates, and has four main aims. US BL To provide a thorough but straightforward account of basic probability theory, giving the reader a natural feel for the subject unburdened by oppressive technicalities. BE BL To discuss important random processes in depth with many examples.BE BL To cover a range of topics that are significant and interesting but less routine. BE BL To impart to the beginner some flavour of advanced work.BE UE OP The book begins with the basic ideas common to most undergraduate courses in mathematics, statistics, and science. It ends with material usually found at graduate level, for example, Markov processes, (including Markov chain Monte Carlo), martingales, queues, diffusions, (including stochastic calculus with Itô's formula), renewals, stationary processes (including the ergodic theorem), and option pricing in mathematical finance using the Black-Scholes formula. Further, in this new revised fourth edition, there are sections on coupling from the past, Lévy processes, self-similarity and stability, time changes, and the holding-time/jump-chain construction of continuous-time Markov chains. Finally, the number of exercises and problems has been increased by around 300 to a total of about 1300, and many of the existing exercises have been refreshed by additional parts. The solutions to these exercises and problems can be found in the companion volume, One Thousand Exercises in Probability, third edition, (OUP 2020).CP
650			_aProbabilities
650			_aStochastic processes
700			_aStirzaker, David R.
942			_cBK
999			_c566429 _d566429