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  1. Home
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  3. Stochastic Processes
  • Cited by 58
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9780511997044
DOI:
https://doi.org/10.1017/CBO9780511997044
Subjects:
Mathematics, Abstract Analysis, Probability Theory and Stochastic Processes, General Statistics and Probability, Statistics and Probability
Series:
Cambridge Series in Statistical and Probabilistic Mathematics (33)
Information

Book description

This comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential equations, Markov processes, weak convergence of processes and semigroup theory. Applications include the Black–Scholes formula for the pricing of derivatives in financial mathematics, the Kalman–Bucy filter used in the US space program and also theoretical applications to partial differential equations and analysis. Short, readable chapters aim for clarity rather than full generality. More than 350 exercises are included to help readers put their new-found knowledge to the test and to prepare them for tackling the research literature.

Reviews

‘The author of this book is well recognized for his long standing and successful work in the area of stochastic processes … this book represents quite well the modern state of the art of the theory of stochastic processes. There are good reasons to strongly recommend the book to graduate and postgraduate students taking an advanced course in stochastic processes.’

Jordan M. Stoyanov Source: Zentralblatt MATH

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Contents

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Contents

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References
References
References
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