8 citations · 15 across the 7 of their papers we have counts for
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math.PR2014★ 3 cited
An Example of non-quenched Convergence in the Conditional CLT for Discrete Fourier Transforms
David Barrera
A recent result by Barrera and Peligrad shows that the quenched Central Limit Theorem holds for the discrete Fourier transforms (DFT) of a stationary process in if a "random"…
math.PR2014★ 8 cited
Quenched limit theorems for Fourier transforms and periodogram
David Barrera, Magda Peligrad
In this paper, we study the quenched central limit theorem for the discrete Fourier transform. We show that the Fourier transform of a stationary ergodic process, suitable centered…