8 citations · 15 across the 7 of their papers we have counts for
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math.PR2015★ 2 cited
Quenched Invariance Principles for the Discrete Fourier Transforms of a Stationary Process
David Barrera
In this paper, we study the asymptotic behavior of the normalized cadlag functions generated by the discrete Fourier transforms of a stationary centered square-integrable process,…
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…