01:22:24 duration 1 hour 22 minutes
Lectures 27-28: the Girsanov theorem and the…
Lectures 27-28: the Girsanov theorem and the martingale representation theorem
Levy's characterization of Brownian motion. Drift transformation in the Brownian motion and the Girsanov theorem. The martingale representation theorem. Representation of densities of…
52:57 duration 52 minutes 57 seconds
Lecture 26: change of probability with a…
Lecture 26: change of probability with a filtration
Equivalent probability measures. Conditional expectation and martingales under the new probability.
32:08 duration 32 minutes 8 seconds
Lecture 24: change of probability
Absolutely continuous probability measures. Measures defined by a density. The Radon-Nykodym theorem. Expectation under the new probability.