Topic: Stochastic Calculus

Proving the Stratonovich Chain Rule

Proving Strong Order One-Half for Euler-Maruyama

Proving the Cameron-Martin Theorem by Gaussian Approximation

Proving Strong Order One for Scalar Milstein

Proving Ito Formula for a Scalar Ito Process

Proving Levy’s Characterization With Exponential Martingales

Proving CIR Nonnegativity and Strict Positivity

Proving Girsanov’s Theorem with Density Processes

Proof of the Bounded Optional Sampling Theorem

Proof of the Classical Feynman-Kac Theorem