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Apr 16, 2015 at 4:22 comment added Taha Well, I am pretty sure someone should have derived the concentration inequalities for heavy-tail distributions. I tried to look at this: Robust Estimation of High-Dimensional Mean Regression, but their lemmas require me to read the entire paper to understand. I'll look into the robust statistic literature to see what I can find.
Apr 16, 2015 at 0:29 comment added Anthony Quas Thanks @Taha. So I think Bernstein inequalities are based on exponential moments (which diverge in my setting); I was unable to pick out useful results from the paper by the French authors either.
Apr 15, 2015 at 23:59 history answered Taha CC BY-SA 3.0