Theory of Stochastic Integrals

By: Jorge A. León

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eText | 14 March 2025 | Edition Number 1

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In applications of stochastic calculus, there are phenomena that cannot be analyzed through the classical Ito theory. It is necessary, therefore, to have a theory based on stochastic integration with respect to these situations.

Theory of Stochastic Integrals aims to provide the answer to this problem by introducing readers to the study of some interpretations of stochastic integrals with respect to stochastic processes that are not necessarily semimartingales, such as Volterra Gaussian processes, or processes with bounded p-variation among which we can mention fractional Brownian motion and Riemann-Liouville fractional process.

Features

Self-contained treatment of the topic
Suitable as a teaching or research tool for those interested in stochastic analysis and its applications
Includes original results.