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On kernel estimators of density for reversible Markov chains

Probability 2015-03-23 v1

Abstract

In this paper we investigate the kernel estimator of the density for a stationary reversible Markov chain. The proofs are based on a new central limit theorem for a triangular array of reversible Markov chains obtained under conditions imposed to covariances, which has interest in itself.

Keywords

Cite

@article{arxiv.1503.05987,
  title  = {On kernel estimators of density for reversible Markov chains},
  author = {Martial Longla and Magda Peligrad and Hailin Sang},
  journal= {arXiv preprint arXiv:1503.05987},
  year   = {2015}
}
R2 v1 2026-06-22T08:57:47.129Z