List questions from stochastic-integrals

Published on 21 Apr 2018 - 2:16

292

Views

Prove $\mathbb{E}[e^{i \lambda W_t}-1] = -\frac{\lambda^2}{2} \mathbb{E}\left[ \int_0^te^{i\lambda W_s}ds\right]$, where $W_t$ is Brownian motion?

Published on 23 Apr 2018 - 11:10

227

Views

Representation of Ito integral

Published on 26 Apr 2018 - 3:32

1.2k

Views

Covariance between Wiener process and stochastic integral

Published on 29 Apr 2018 - 13:01

383

Views

$X_t$ is a cadlag semimartingale implies $f(X_t)$ is a semimartingale by using Ito's Lemma

Published on 30 Apr 2018 - 14:17

110

Views

Why do we need absolute continuity of the mapping $t \mapsto \langle M \rangle_t(\omega)$ wr.t to the Lebesgue measure for almost all $\omega$?

Published on 02 May 2018 - 16:17

93

Views

Prove that $X_t$ of the given SDE converges to $0$ a.s. as $t\uparrow 1$

Published on 24 Mar 2026 - 22:16

577

Views

When is the quadratic variation of a process continuously differentiable?

Published on 08 May 2018 - 12:38

200

Views

Functional CLT proof Theorem 7.4.1 on page 354-355 of Ethier and Kurtz 1986

Published on 09 May 2018 - 1:21

428

Views

Seriously struggling with Ito's lemma, and understanding what this paper does!!!

Published on 22 Mar 2026 - 21:34

91

Views

Kolmogorovs Extension Theorem

Published on 09 May 2018 - 17:24

157

Views

Proof of martingale representation theorem

Published on 10 May 2018 - 18:04

224

Views

Intuition behind quadratic variation in Brownian motion and $L^2(P)$ convergence for Ito integral

Published on 11 May 2018 - 17:53

1.6k

Views

Find the transition probability function P(y,t,x,s) for Brownian motion with drift B(t)+t.

Published on 16 May 2018 - 4:44

164

Views

What converses exists for Martingale representation theorem?

Published on 16 May 2018 - 12:40

List Question

is integral with respect to finite variation process of finite variation?

Prove $\mathbb{E}[e^{i \lambda W_t}-1] = -\frac{\lambda^2}{2} \mathbb{E}\left[ \int_0^te^{i\lambda W_s}ds\right]$, where $W_t$ is Brownian motion?

Representation of Ito integral

Covariance between Wiener process and stochastic integral

$X_t$ is a cadlag semimartingale implies $f(X_t)$ is a semimartingale by using Ito's Lemma

Why do we need absolute continuity of the mapping $t \mapsto \langle M \rangle_t(\omega)$ wr.t to the Lebesgue measure for almost all $\omega$?

Prove that $X_t$ of the given SDE converges to $0$ a.s. as $t\uparrow 1$

When is the quadratic variation of a process continuously differentiable?

Functional CLT proof Theorem 7.4.1 on page 354-355 of Ethier and Kurtz 1986

Seriously struggling with Ito's lemma, and understanding what this paper does!!!

Kolmogorovs Extension Theorem

Proof of martingale representation theorem

Intuition behind quadratic variation in Brownian motion and $L^2(P)$ convergence for Ito integral

Find the transition probability function P(y,t,x,s) for Brownian motion with drift B(t)+t.

What converses exists for Martingale representation theorem?

Trending Questions

Popular # Hahtags

Popular Questions