On Complete Convergence of the Sum of a Random Number of Stable Type P Random Elements

Abstract

Complete convergence for randomly indexed normalized sums of random elements of the form [Formula Omitted] is established. The random elements {Xn} belong to a type p stable space and are assumed to be independent, but not necessarily identically distributed. No assumptions are placed on the joint distributions of the stopping times {Tn}. © 1995, Hindawi Publishing Corporation. All rights reserved.