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Sep 19, 2022 at 19:59 comment added Iosif Pinelis @brownianmotion : That new question seems interesting but difficult. I would be (pleasantly) surprised if there is an answer to it within a few pages.
Sep 19, 2022 at 19:35 vote accept brownianmotion
Sep 19, 2022 at 19:35 comment added brownianmotion Thanks for the suggestion! I have marked the questions as being answered and opened a new question: mathoverflow.net/questions/430795/…
Sep 18, 2022 at 0:58 comment added Iosif Pinelis @brownianmotion : It would be better in every respect that I can think of if the question for general $f$ be posted separately. If you think that your posted question has been fully answered, can you please mark the answer accordingly?
Sep 16, 2022 at 22:03 comment added brownianmotion Thank you very much. I didn't realize that this had a simple proof. I need to be able to bound expectation of other functions as well where it is easy to compute them in the Gaussian case, e.g. $E[\prod_{i=1}^n f(Z_i)]$ for some function $f$, so I was wondering if there is a general method for comparing to the Gaussian setting?
Sep 15, 2022 at 14:22 history answered Iosif Pinelis CC BY-SA 4.0