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OverviewThis graduate level text covers the theory of stochastic integration, an important area of Mathematics that has a wide range of applications, including financial mathematics and signal processing. Aimed at graduate students in Mathematics, Statistics, Probability, Mathematical Finance, and Economics, the book not only covers the theory of the stochastic integral in great depth but also presents the associated theory (martingales, Levy processes) and important examples (Brownian motion, Poisson process). Full Product DetailsAuthor: Peter Medvegyev (Budapest University of Economic Sciences)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 14 Dimensions: Width: 16.30cm , Height: 3.80cm , Length: 24.00cm Weight: 1.062kg ISBN: 9780199215256ISBN 10: 0199215251 Pages: 632 Publication Date: 26 July 2007 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order ![]() Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Stochastic processes 2: Stochastic integration with locally square-integrable martingales 3: The structure of local martingales 4: General theory of stochastic integration 5: Some other theorems 6: Ito's formula 7: Processes with independent increments Appendices A: Results from measure theory B: Wiener processes C: Poisson processesReviews<br> This monograph gives a comprehensive exposition of stochastic calculus and can be used as a textbook for graduate students with a good knowledge of measure-theoretic probability and mathematical analysis...Although the material presented in this book can be found in other monographs on the subject, it can of interest for a wide readership, mainly due to the plenty of clarifying examples and the very detailed proofs of the results. --Mathematical Reviews<br> Author InformationTab Content 6Author Website:Countries AvailableAll regions |