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arxiv: 1503.05987 · v1 · pith:PUZVZB3Xnew · submitted 2015-03-20 · 🧮 math.PR

On kernel estimators of density for reversible Markov chains

classification 🧮 math.PR
keywords markovreversiblechainsdensitykernelarraycentralchain
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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.

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