Open Access
December, 1972 Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables
D. Szasz
Ann. Math. Statist. 43(6): 1902-1913 (December, 1972). DOI: 10.1214/aoms/1177690861

Abstract

A necessary condition is given for the convergence of distributions of the sums of a random number of independent random variables. This is made on the basis of a theorem which gives sufficient conditions for the convergence of distributions of randomly stopped stochastic processes. The random indices are supposed to be independent of the sequence of summands.

Citation

Download Citation

D. Szasz. "Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables." Ann. Math. Statist. 43 (6) 1902 - 1913, December, 1972. https://doi.org/10.1214/aoms/1177690861

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0277.60015
MathSciNet: MR358942
Digital Object Identifier: 10.1214/aoms/1177690861

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 6 • December, 1972
Back to Top