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math.PR2018
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…
math.PR2017★ 1 cited
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…
math.PR2016
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,…