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Applied and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments.

4 votes

Longest increasing subsequence as measure of randomness

This isn't quite what you asked, but if you want to be able to make a precise statement, there is the following beautiful theorem of Kral and Pikhurko: Theorem A sequence of permutations $\{\pi_i \in …
Christian Gaetz's user avatar