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Nov 3 at 1:31 comment added πr8 Re: that the MGF bound implies the Bernstein concentration inequality, I'm familiar with this, but it's not what I'm asking; I'll try to re-write the question in due course to clarify this. The pointer to the Bernstein-Orlicz norm seems quite likely to be fruitful; I will re-acquaint myself with the work and check whether it's doing what I seek.
Nov 3 at 0:57 history answered Mark Schultz-Wu CC BY-SA 4.0