Abstract
We show how the mean of a monotone function (defined on a state space equipped with a partial ordering) can be estimated, using ergodic averages calculated from upper and lower dominating processes of a stationary irreducible Markov chain. In particular, we do not need to simulate the stationary Markov chain and we eliminate the problem of whether an appropriate burn-in is determined or not. Moreover, when a central limit theorem applies, we show how confidence intervals for the mean can be estimated by bounding the asymptotic variance of the ergodic average based on the equilibrium chain.
Originalsprog | Engelsk |
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Titel | Beyesian Statistics : Proceeding of the Eighth Valencia International Meeting, June 2-6, 2006 |
Redaktører | J. M. Bernardo, M.J. Bayarri, J.O. Berger, A.P. Dawid, D. Heckerman, M. West |
Antal sider | 6 |
Vol/bind | 8 |
Forlag | Oxford University Press |
Publikationsdato | 2007 |
Sider | 643-648 |
ISBN (Trykt) | 9780199214655 |
Status | Udgivet - 2007 |