The quadratic variation of brownian motion and its properties

摘要

In order to research the quadratic variation better which widely used in Itô Formula and stochastic integral, the convergence of quadratic variation for classical function and Brownian motion has been proved in turn. By introducing Brownian motion and using its properties the quadratic variation of Brownian motion can be estimated. Based on the above comparisons and analyses, a dramatically different result is obtained.