Generalized Look-Ahead Methods for Computing Stationary Densities

  • Authors:
  • R. Anton Braun;Huiyu Li;John Stachurski

  • Affiliations:
  • Research Department, Federal Reserve Bank of Atlanta, Atlanta, Georgia;Department of Economics, Graduate School, Stanford University, Stanford, California;Research School of Economics, Australian National University, Canberra, Australia

  • Venue:
  • Mathematics of Operations Research
  • Year:
  • 2012

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Abstract

The look-ahead estimator is used to compute densities associated with Markov processes via simulation. We study a framework that extends the look-ahead estimator to a broader range of applications. We provide a general asymptotic theory for the estimator, where both L1 consistency and L2 asymptotic normality are established. The L2 asymptotic normality implies √n convergence rates for L2 deviation.