A note on variance bounding for continuous time Markov Chains

作者:Leisen Fabrizio*; Prosdocimi Cecilia
来源:Statistics & Probability Letters, 2011, 81(1): 153-156.
DOI:10.1016/j.spl.2010.10.009

摘要

In this paper the notion of variance bounding introduced by Roberts and Rosenthal (2008) is extended to continuous time Markov Chains. Moreover, it is proven that, as in the discrete time case, the notion of variance bounding for reversible Markov Chains is equivalent to the existence of a central limit theorem. A connection with the continuous time Peskun ordering, introduced by Leisen and Mira (2008), concludes the paper.

  • 出版日期2011-1

全文