New posts in stochastic-processes

Showing that a random process is a martingale

Interpretation of sigma algebra

Stochastic processes, White noise.

Zombie outbreak on a $k$-regular graph

Can I apply the Girsanov theorem to an Ornstein-Uhlenbeck process?

How the Ornstein–Uhlenbeck process can be considered as the continuous-time analogue of the discrete-time AR(1) process?

Expected value problem with two dice

Prove the time inversion formula is brownian motion

Brownian bridge sde

Probability of completing a self-avoiding chessboard tour

Criteria for being a true martingale

What is the Kolmogorov Extension Theorem good for?

Difference between Modification and Indistinguishable

Intuition for random variable being $\sigma$-algebra measurable?

Why is this stochastic process a Markov chain?

Generated $\sigma$-algebras with cylinder set doesn't contain the space of continuous functions

Prove $\mathbb{P}(\sup_{t \geq 0} M_t > x \mid \mathcal{F}_0)= 1 \wedge \frac{M_0}{x}$ for a martingale $(M_t)_{t \geq 0}$

Can Kolmogorov backward and forward equations hold at the same time?

Expectation of Stopping Time w.r.t a Brownian Motion

Angle bracket and sharp bracket for discontinuous processes