tuitions of mcmc MCMC Construct a stationary markov chain ,,X2,. with desired equilibrium distribution Estimator for W =elg(x) the same Variance of the estimator. 02=varig(X)+2>covlg(Xi),8(Xi+)) (does not depend on i due to stationarity Autocovariance function and autocorrelation function k H Yk: Yk= covIg(Xi), g(Xi+k)) k→→Yk/Yo =∑区X)-g(x+)-pnIntuitions of MCMC • MCMC – Construct a stationary Markov Chain 𝑋1, 𝑋2, ⋯ with desired equilibrium distribution – Estimator for : the same – Variance of the estimator: 𝜎 2 𝑛 , (does not depend on 𝑖 due to stationarity) – Autocovariance function and autocorrelation function