Estimation of stationary densities for Markov chains. Glynn, P. & Henderson, S. In Medeiros, D., Watson, E., Carson, J. S., & Manivannan, M. S., editors, Proceedings of the 1998 Winter Simulation Conference, pages 647–652, Piscataway, NJ, 1998. IEEE.
Estimation of stationary densities for Markov chains [pdf]Paper  abstract   bibtex   
We describe a new estimator of the stationary density of a Markov chain on general state space. The new estimator is easier to compute, converges faster, and empirically gives visually superior estimates than more standard estimators such as nearest-neighbour or kernel density estimators.

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