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Brownian Motion and Its Stochastic Integral by James Dunkelfelder is a document available to read on EtoBox.
1) Brownian motion is a fundamental stochastic process used to model random assets in finance. It is defined as a continuous-time stochastic process with independent and normally distributed increments. 2) Sample paths of Brownian motion are continuous but non-differentiable, resembling random walks with infinitesimally small steps. 3) Multidimensional Brownian motion can be constructed as independent copies of the one-dimensional process. Figures provide examples of sample paths in two and three dimensio
- Author
- James Dunkelfelder
- Language
- EN