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Mathematical theory of statistics, concerned with formal definitions and general results.

16 votes

A dynamical systems view of the Central Limit Theorem?

After doing some digging in the literature, encouraged by Kjetil's answer, I've found a few references that do take the geometric/dynamical systems approach to the CLT seriously, besides the book by Y …
symplectomorphic's user avatar
23 votes
3 answers
2k views

A dynamical systems view of the Central Limit Theorem?

(Originally posted on MSE.) I have seen many heuristic discussions of the classical central limit theorem speak of the normal distribution (or any of the stable distributions) as an "attractor" in th …
symplectomorphic's user avatar