CIRJE-F-678 "Computing Densities: A Conditional Monte Carlo Estimator"
Author Name Braun, Richard Anton, Huiyu Li and John Stachurski
Date October 2009
Full Paper PDF file
Remarks @Title changed to "Generalized Look-Ahead Methods for Computing Stationary Densities", forthcoming in Mathematics of Operations Research.
Abstract

We propose a generalized conditional Monte Carlo technique for computing densities in economic models. Global consistency and functional asymptotic normality are established under ergodicity assumptions on the simulated process. The asymptotic normality result allows us to characterize the asymptotic distribution of the error in density space, and implies faster convergence than nonparametric kernel density estimators. We show that our results nest several other well-known density estimators, and illustrate potential applications.