Description
Stochastic Analysis of Mixed Fractional Gaussian Processes
Language: EnglishSubject for Stochastic Analysis of Mixed Fractional Gaussian Processes:
210 p. · 15x22.8 cm · Hardback
Description
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Stochastic Analysis of Mixed Fractional Gaussian Processes presents the main tools necessary to characterize Gaussian processes. The book focuses on the particular case of the linear combination of independent fractional and sub-fractional Brownian motions with different Hurst indices. Stochastic integration with respect to these processes is considered, as is the study of the existence and uniqueness of solutions of related SDE's. Applications in finance and statistics are also explored, with each chapter supplying a number of exercises to illustrate key concepts.
1. Gaussian Processes 2. Fractional and Sub-fractional Brownian Motions 3. Mixed Fractional and Mixed Sub-fractional Brownian Motions
Mounir Zili works at the University of Monastir, Faculty of sciences of Monastir with expertise in Probability Theory, Applied Mathematics, Analysis
- Presents both mixed fractional and sub-fractional Brownian motions
- Provides an accessible description for mixed fractional gaussian processes that is ideal for Master's and PhD students
- Includes different Hurst indices