%0 Journal Article %T Moment inequalities connected with accompanying Poisson laws in Abelian groups %A I. S. Borisov %J International Journal of Mathematics and Mathematical Sciences %D 2003 %I Hindawi Publishing Corporation %R 10.1155/s016117120321142x %X 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. %U http://www.hindawi.com/journals/ijmms/2003/295015/abs/