Asymptotic variance of stationary reversible and normal Markov processes

作者:Deligiannidis George*; Peligrad Magda; Utev Sergey
来源:Electronic Journal of Probability, 2015, 20(0): 1-26.
DOI:10.1214/EJP.v20-3183

摘要

We obtain necessary and sufficient conditions for the regular variation of the variance of partial sums of functionals of discrete and continuous-time stationary Markov processes with normal transition operators. We also construct a class of Metropolis-Hastings algorithms which satisfy a central limit theorem and invariance principle when the variance is not linear in n.

  • 出版日期2015-3-3