What is the "equivalent" of Gaussian distribution on a segment and on a circle

Question

Does there exist a probability density distribution function with analogous properties to those of the Gaussian distribution, but defined on domains such as:

a limited segment $$x \in [a,b]$$
a circular domain (a domain which "wraps around") $$\theta \in [0, 2\pi)$$

By asking "properties similar to the Gaussian", I would ideally like something as the central limit theorem.

For 2. check out von Mises distribution also known as the circular normal distribution. — Sasha, Dec 21 '12 at 13:17
You might also want to look at central limit theorems in free probability. — Eckhard, Dec 21 '12 at 13:21

score 3 · Accepted Answer · answered Jun 27 '13 at 09:21

3

Apparently, you are looking for

answered Jun 27 '13 at 09:21

ˈjuː.zɚ79365

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What is the "equivalent" of Gaussian distribution on a segment and on a circle

1 Answers1