International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 789-796
doi:10.1155/S0161171291001059

An Arzela-Ascoli type theorem for random functions

Joseph P. Noonan and Henry M. Polchlopek

Department of Electrical Engineering, Tufts University, Medford 02155, Massachusetts, USA

Abstract

A Theorem involving the convergence of random functions is presented. The Theorem is based upon the Arzela-Ascoli Theorem of Real Analysis. The development here may be useful in transient or asymptotic analysis of random functions and linear systems theory.