84 citations · 130 across the 7 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
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.PR2017★ 1 cited
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…
math.PR2017★ 17 cited
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…