I've always found it disconcerting that pi appears in the normal density given the CLT. What is spatial about probability?https://twitter.com/_a_nd/status/1106372094953250819 …
-
-
Replying to @dclingi @ModeledBehavior
I think the answer is that normals are special cases of ellipitical distributions, which have isodensity curves in the shape of an ellipse. And the area of an ellipse requires pi.
1 reply 0 retweets 2 likes
Additionally, elliptical distributions are closed under location and scale transformations, making them stable distributions. So our normed sums of RVs can converge to them.
11:57 AM - 15 Mar 2019
0 replies
0 retweets
1 like
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.