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Jun 19, 2016 at 8:22 vote accept Max
Jun 3, 2016 at 17:02 comment added wolfies As whuber has noted below, the expectation of the ratio of two consecutive order stats does not converge. But if it did, or if you are interested in their difference, say $$E\left[\max\limits_{i=1,...,n-1}\left(X_{(i+1)} - X_{(i)} \right)\right]$$ ... the problem should in fact simplify to finding the ratio (or difference, as the case may be) of the two LARGEST order statistics i.e. $$E[X_{(n)} -X_{(n-1)}]$$ ... just from the shape of the Normal tails.
Jun 3, 2016 at 16:35 answer added whuber timeline score: 7
Jun 3, 2016 at 16:03 history tweeted twitter.com/StackStats/status/738762941533671424
Jun 3, 2016 at 14:51 review First posts
Jun 3, 2016 at 14:56
Jun 3, 2016 at 14:49 history asked Max CC BY-SA 3.0