84 citations · 130 across the 7 of their papers we have counts for
5 papers · 1 filter
On the quenched CLT for stationary random fields under projective criteria
Na Zhang, Lucas Reding, Magda Peligrad
Motivated by random evolutions which do not start from equilibrium, in a recent work, Peligrad and Volný (2018) showed that the quenched CLT (central limit theorem) holds for ortho…
Martingale approximations for random fields
Magda Peligrad, Na Zhang
In this paper we provide necessary and sufficient conditions for the mean square approximation of a random field with an ortho-martingale. The conditions are formulated in terms of…
Central limit theorem for Fourier transform and periodogram of random fields
Magda Peligrad, Na Zhang
In this paper we show that the limiting distribution of the real and the imaginary part of the double Fourier transform of a stationary random field is almost surely an independent…
On the normal approximation for random fields via martingale methods
Magda Peligrad, Na Zhang
We prove a central limit theorem for strictly stationary random fields under a sharp projective condition. The assumption was introduced in the setting of random variables by Maxwe…
On the Law of Large Numbers for Discrete Fourier Transform
Na Zhang
We establish the rate of convergence in the strong law of large numbers of discrete Fourier Transform of the identically distributed random variables with finite moment of order p,…