Probabilistic system simulations for analog circuits have traditionally been handled with Monte Carlo analysis. For a manufacturable design, fast and accurate simulations are necessary for time-to-market, design for manufacturability and yield concerns. In this paper, a fast and accurate probabilistic simulation alternative is proposed targeting the simulation of analog systems. The proposed method shows high accuracy for performance estimation combined with a 100fold reduction in run-time with respect to a 1000-sample Monte Carlo analysis.