This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | Next revision Both sides next revision | ||
world:useful-bounds [2022/11/17 21:21] rdouc [Maximal Kolmogorov inequality] |
world:useful-bounds [2022/11/17 21:21] rdouc [Maximal Kolmogorov inequality] |
||
---|---|---|---|
Line 83: | Line 83: | ||
$\bproof$ | $\bproof$ | ||
- | <note important> | + | <note tip> |
We provide a complete proof here but actually, we can also apply Doob's inequality below to the non-negative submartingale $M_n^2$ | We provide a complete proof here but actually, we can also apply Doob's inequality below to the non-negative submartingale $M_n^2$ | ||
</note> | </note> |