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Nov 21, 2020 at 0:31 comment added Vincent Granville Not sure is this helps: quora.com/…. While it deals with the range, results about the $\min$ can be derived from it, I think.
Nov 20, 2020 at 21:09 comment added user44143 Thanks for the link, but I still don't see how the Renyi representation on p. 135 answers the question, and pp. 136-138 seem irrelevant.
Nov 20, 2020 at 20:40 comment added Vincent Granville Here we go: frenchlane.com/Booklet_stats_v8.pdf
Nov 20, 2020 at 19:20 comment added user44143 I am looking at a copy of the book but I do not see how this works. If the Renyi representation gives the distributions of distances between the order statistics, how does that help for the minimum of the running averages?
Nov 20, 2020 at 18:11 history answered Vincent Granville CC BY-SA 4.0