Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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

  1. a limited segment $$x \in [a,b]$$
  2. 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.

share|cite|improve this question
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

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.