Functional Limit Theorem for Products of Sums of Independent and Nonidentically Distributed Random Variables

We study the weak convergence in the space of processes constructed from products of sums of independent but not necessarily identically distributed random variables. The presented results extend and generalize limit theorems known so far for i.i.d. sequences.

Bibliographic Details
Main Authors: Przemysław Matuła, Iwona Stępień
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/640137