International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 44, Pages 2771-2786
doi:10.1155/S016117120321142X

Moment inequalities connected with accompanying Poisson laws in Abelian groups

Abstract

We obtain exact inequalities which connect moments of some functions of sums of independent random variables taking values in a measurable Abelian group and those for the accompanying infinitely divisible laws. Some applications to empirical processes are studied.