Remark on the central limit theorem for ergodic chains

Authors

  • N. V. Moskal'tsova
  • V. M. Shurenkov

Abstract

We obtain sufficient conditions that should be imposed on a functionf in order that, for ergodic Markov chains, the sum 1nn1k=0f(Xk) be asymptotically normal.

Published

25.01.1995

Issue

Section

Short communications

How to Cite

Moskal'tsova, N. V., and V. M. Shurenkov. “Remark on the Central Limit Theorem for Ergodic Chains”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 1, Jan. 1995, pp. 118-20, https://umj.imath.kiev.ua/index.php/umj/article/view/5391.