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Nov
14
revised Literature investigating root finding of convex Functions
added 20 characters in body
Nov
8
comment Central Limit Theorem on the Circle
@Sun: There actually is a convergence to WrappedNormal. Consider a circular random variable $Y:=X\ \text{mod}\ 2\pi$, where $X$ is a standard non-circular random variable with finite variance. Thus, a properly normalized sum of i.i.d. copies of $X$ converges (in distirbution) to a Gaussian random variable.Now, if you do the same with i.i.d. copies of $Y$ and append $\text{mod}\ 2\pi$ at the end of the summation scheme and you'll end up with a summation scheme converging to a wrapped normal distribution.
Nov
8
asked Literature investigating root finding of convex Functions
Aug
19
comment Central Limit Theorem on the Circle
@D.Thomine: Not at all. In order to account for the fact, that $X_i$ is circular, we can simply use a real-valued random vector restricted to $[0, 2\pi)$. Thus, we use the classical division for real numbers. The summation scheme presented in my post obviously yields again a random vector restricted to $[0, 2\pi)$.
Aug
17
awarded  Editor
Aug
17
comment Central Limit Theorem on the Circle
I mean a similar summation scheme as in the case of the classical CLT. Added it to the original post.
Aug
17
revised Central Limit Theorem on the Circle
added 208 characters in body
Aug
13
asked Central Limit Theorem on the Circle
Mar
6
comment Strategy in an urn problem with two urns
Thank you, @Henry. How would one proof analytically this strategy to be the best one and no other to be better in the above sense?
Mar
6
accepted Strategy in an urn problem with two urns
Mar
4
asked Strategy in an urn problem with two urns
Mar
2
awarded  Supporter
Feb
29
awarded  Scholar
Feb
29
accepted Convexity of inverted sum of positive definite matrices
Feb
28
awarded  Student
Feb
28
asked Convexity of inverted sum of positive definite matrices