Computing Densities for Markov Chains via Simulation
Mathematics of Operations Research
Markov Chains and Stochastic Stability
Markov Chains and Stochastic Stability
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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.