Stochastic Integration Theory
Series: Oxford Graduate Texts in Mathematics; 14;
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Product details:
- Publisher OUP Oxford
- Date of Publication 26 July 2007
- ISBN 9780199215256
- Binding Hardback
- No. of pages632 pages
- Size 240x163x38 mm
- Weight 1062 g
- Language English 0
Categories
Short description:
This graduate level text covers the theory of stochastic integration, an important area of Mathematics with a wide range of applications, including financial mathematics and signal processing.
MoreLong description:
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).
MoreTable of Contents:
Stochastic processes
Stochastic integration with locally square-integrable martingales
The structure of local martingales
General theory of stochastic integration
Some other theorems
Ito's formula
Processes with independent increments
Appendices
Results from measure theory
Wiener processes
Poisson processes