Article ID Journal Published Year Pages File Type
4621215 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

We obtain lower and upper bounds for the absolute values of characteristic functions of multivariate distributions F and also derive a lower bound on the norm of the zeroes of a characteristic function in terms of moments of the norm of the random vector with distribution F. Similar results are obtained for characteristic functions of probability measures on a separable Hilbert space.

Related Topics
Physical Sciences and Engineering Mathematics Analysis