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Oct 29 at 10:24 comment added Nate River Ah great, i have undeleted my answer then.
Oct 29 at 9:35 comment added Mingzhou Liu Indeed, I am conditioning on $\sigma(X^i)$. However, I would be interested to hear your thoughts on conditioning on $\sigma(W^i)$.
Oct 29 at 4:30 comment added Nate River I notice that you conditioned on $\sigma(X^i)$, instead of $\sigma(W^i)$, rendering my approach invalid…
Oct 29 at 4:10 comment added Nate River Are you okay with $\lambda$ being, say $C^2$, so that we can apply Ito’s? We can get something more then.
Oct 29 at 4:05 comment added Nate River I’ve added the (tiny amount of) progress i’ve been able to make. Nice problem!
Oct 29 at 4:05 answer added Nate River timeline score: 1
Oct 29 at 3:54 comment added Mingzhou Liu What I want to estimate is the function $t\mapsto \mathbb{E}[X_t^i|\mathcal{F}_t^C]$ (like the objective in optimal filtering). What do you mean by "freeze the Brownian motions that are being conditioned on"?
Oct 29 at 3:37 comment added Nate River What kind of estimate do you want? We can freeze the Brownian motions that are being conditioned on to obtain something.
Oct 29 at 3:08 history asked Mingzhou Liu CC BY-SA 4.0