156 citations · 758 across the 46 of their papers we have counts for
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math.PR2015★ 1 cited
On kernel estimators of density for reversible Markov chains
Martial Longla, Magda Peligrad, Hailin Sang
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 arra…
math.PR2015★ 1 cited
On the functional CLT for stationary Markov Chains started at a point
David Barrera, Costel Peligrad, Magda Peligrad
We present a general functional central limit theorem started at a point also known under the name of quenched. As a consequence, we point out several new classes of stationary pro…