Probability and Random Processes - 4th Edition

The 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 Ito'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, Levy 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

Product details

• Authors: Geoffrey Grimmett, Geoffrey (Director of Research and Profe Grimmett, Geoffrey (Director of Research and Professor Emeritus of Mathematical Statistics Grimmett, Grimmett Geoffrey, David Stirzaker, David (Professor Emeritus Stirzaker, Stirzaker David
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 30.06.2020
• EAN: 9780198847595
• ISBN: 978-0-19-884759-5
• No. of pages: 688
• Dimensions: 175 mm x 245 mm x 30 mm
• Subjects: Natural sciences, medicine, IT, technology > Natural sciences (general); MATHEMATICS / Probability & Statistics / General, Probability & statistics, Stochastics, Mathematics & science, Probability and statistics