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Results tagged with stochastic-processes
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user 317937
A stochastic process is a collection of random variables usually indexed by a totally ordered set.
1
vote
$L^p$-convergence of submartingale
Here is one alternative set of conditions (sufficient but I am not sure if they are necessary). Essentially, I move the $L^p$-uniform integrability requirement of $X_k$ to the predictable component $A …
- 625
1
vote
Accepted
Covering number of the conditional distribution function
You need a different approach. Each function in your function space can be written as
$$F_{Y|W}(y|W) = \int 1(s \leq y) P(Y = ds|W)$$
for some $y$. Thus,
$$\|F_{Y|W}(y_2|W) - F_{Y|W}(y_1|W)\|_{L^1} = …
- 625