On the Glivenko-Cantelli Problem in Stochastic Programming: Linear Recourse and Extensions
Authors: Pflug GC, Ruszczynski A, Schultz R
Publication Year: 1996
Reference: IIASA Working Paper WP-96-020
Abstract
Integrals of optimal values of random optimization problems depending on a finite dimensional parameter are approximated by using empirical distributions instead of the original measure. Under fairly broad conditions, it is proved that uniform convergence of empirical approximations of the right hand sides of the constraints implies uniform convergence of the optimal values in the linear and convex case.