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Oct 9, 2015 at 23:09 comment added Brendan McKay Except that $Y_0$ is not $(n+1)X_0$, it is the constant 0. Now apply Azuma's theorem using all the differences including the very large difference $|Y_1-Y_0|$. (This is much the same as alpoge's comment above.)
Oct 9, 2015 at 18:19 comment added Sriram S Thanks! I am actually translating a much more complicated situation into a "toy problem" that I have posted. In general, there are no other hypotheses. I still do not see where I went wrong.
Oct 9, 2015 at 17:55 history answered Gerald Edgar CC BY-SA 3.0