8 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
Quenched Asymptotics for the Discrete Fourier Transforms of a Stationary Process
David Barrera
In this dissertation, we show that the Central Limit Theorem and the Invariance Principle for Discrete Fourier Transforms discovered by Peligrad and Wu can be extended to the quenc…
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,…
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…
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"…
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…