Theory and Statistical Applications of Stochastic Processes
| By: | Yuliya Mishura; Georgiy Shevchenko |
| Publisher: | Wiley Global Research (STMS) |
| Print ISBN: | 9781786300508 |
| eText ISBN: | 9781119476597 |
| Edition: | 1 |
| Copyright: | 2017 |
| Format: | Reflowable |
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This book is concerned with the theory of stochastic processes and the theoretical aspects of statistics for stochastic processes. It combines classic topics such as construction of stochastic processes, associated filtrations, processes with independent increments, Gaussian processes, martingales, Markov properties, continuity and related properties of trajectories with contemporary subjects: integration with respect to Gaussian processes, It_x000F_ integration, stochastic analysis, stochastic differential equations, fractional Brownian motion and parameter estimation in diffusion models.