Multilevel Monte Carlo methods and Stochastic Collocation have been successfully applied to many problems by numerous authors. In this talk we will present a framework which can treat a wide range of PDEs with uncertain input data with various discretizations combined with non-intrusive stochastic estimators. In particular, we want to discuss the combination of space-time discretizations and multilevel estimators for the acoustic wave equation with random coefficients and briefly want to introduce our setting for high performance computations.