Description

Book Synopsis

In applications of stochastic calculus, there are phenomena that cannot be analyzed through the classical Ità 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.

Theory of Stochastic Integrals

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    A Paperback by Jorge A. León

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      Book details

      Publisher CRC Press
      Published 4 July 2025
      ISBN-13 9781032778129
      978-1032778129
      ISBN-10 1032778121
      Also in:
      Mathematics Discrete mathematics

      Description

      Book Synopsis

      In applications of stochastic calculus, there are phenomena that cannot be analyzed through the classical Ità 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.

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