Article ID Journal Published Year Pages File Type
4624050 Journal of Mathematical Analysis and Applications 2006 20 Pages PDF
Abstract

The paper studies certain (probability) measures of binomial type defined in a recursive way on the unit interval. These measures are related to the sum-of-digit function and similar quantities. In particular, we undertake an asymptotic analysis of the moments of the corresponding distributions. This is done by a combination of a method based on the Mellin transform and the depoissonisation technique.

Related Topics
Physical Sciences and Engineering Mathematics Analysis