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Jul 18, 2019 at 13:41 answer added Viktor B timeline score: 1
Jul 17, 2019 at 22:23 history edited Kcafe CC BY-SA 4.0
added 12 characters in body
Jul 17, 2019 at 22:23 comment added Kcafe $X$ and $Y$ are two independent random walks. I will update the question now. Thanks for asking for clarification.
Jul 17, 2019 at 21:49 comment added Davide Giraudo I see. And now I have an other question: do you assume that $X$ is independent of $Y$ or not necessarily?
Jul 17, 2019 at 20:20 comment added Kcafe Yes, indexed by $L$. Yes one such purpose is to get deviation inequalities.
Jul 17, 2019 at 8:43 comment added Davide Giraudo Do you want to express $T(X,Y)$ as a martingale indexed by $L$, plus remainder terms? What is your purpose with the martingale representation? I mean, do you want to establish a deviation inequality or a central limit theorem?
Jul 17, 2019 at 8:41 history edited user64494 CC BY-SA 4.0
A typo in the title.
Jul 17, 2019 at 6:51 history asked Kcafe CC BY-SA 4.0