Marcus C. Christiansen

(University of Ulm)

(University of Ulm)

Thiele Seminar

Monday, 10 September, 2012, at 14:00-15:00, in Aud. G1 (1532-116)

Abstract:

We study the properties of the multivariate skew-normal distribution as an approximation to the distribution of the sum of $n$ i.i.d. random vectors. More precisely, we establish conditions ensuring that the uniform distance between the two distribution functions converges to zero at a rate of $n^{-2/3}$. The advantage over the corresponding normal approximation is particularly relevant when the summands are skewed and $n$ is small, as illustrated for the special case of exponentially distributed random variables. Applications to some well-known multivariate distributions are also discussed.

Organised by: The T.N. Thiele Centre

Contact person: Søren Asmussen