Convergence properties of perturbed Markov chains

Convergence properties of perturbed Markov chains

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Article ID: iaor1999347
Country: United Kingdom
Volume: 35
Issue: 1
Start Page Number: 1
End Page Number: 11
Publication Date: Mar 1998
Journal: Journal of Applied Probability
Authors: , ,
Keywords: simulation: languages & programs
Abstract:

In this paper, we consider the question of which convergence properties of Markov chains are preserved under small perturbations. Properties considered include geometric ergodicity and rates of convergence. Perturbations considered include roundoff error from computer simulation. We are motivated primarily by interest in Markov chain Monte Carlo algorithms.

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