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Feb 18, 2019 at 21:01 comment added Aryeh Kontorovich $f$ is 1-Lipschitz under what metric? I don't think you actually need $X_n$ to be subgaussian. On the other hand, if they aren't independent, you'll definitely need some control over how strongly dependent they are (see mixing conditions).
Oct 7, 2015 at 20:16 history edited gappy3000 CC BY-SA 3.0
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Oct 7, 2015 at 17:51 history edited gappy3000 CC BY-SA 3.0
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Oct 7, 2015 at 16:29 history asked gappy3000 CC BY-SA 3.0