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This 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).
This text investigates the rigorous mathematical foundations and applications of stochastic integration theory. Author Peter Medvegyev provides a comprehensive treatment of the subject, synthesizing advanced probability concepts with practical analytical frameworks. The book is structured to guide graduate-level students through the complexities of stochastic calculus, martingales, and Levy processes.
What You Will Find
Scope Limits
Experts identify this work as a rigorous resource for graduate students specializing in probability and mathematical finance. Readers frequently note the high level of technical density, which requires significant mathematical maturity to navigate effectively.
Page Count:
544
Publication Date:
2007-01-01
Publisher:
OUP Oxford
ISBN-10:
0191526886
ISBN-13:
9780191526886
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