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Jul 3, 2021 at 1:48 comment added Tiago Thanks a lot for the answer. From your conterexample, it seems that the problem comes from the unboundness of the random variable if $k>2$. So maybe I should see how to take advantage of the boundness of the r.w. in the particular case that I need.
Jul 2, 2021 at 14:19 history edited Iosif Pinelis CC BY-SA 4.0
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Jul 2, 2021 at 13:35 history edited Iosif Pinelis CC BY-SA 4.0
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Jul 2, 2021 at 13:00 history answered Iosif Pinelis CC BY-SA 4.0