44 citations · 255 across the 35 of their papers we have counts for
8 papers · 2 filters
Uniform convergence of compactly supported wavelet expansions of Gaussian random processes
Yuriy Kozachenko, Andriy Olenko, Olga Polosmak
New results on uniform convergence in probability for expansions of Gaussian random processes using compactly supported wavelets are given. The main result is valid for general cla…
Convergence rate of wavelet expansions of Gaussian random processes
Andriy Olenko, Yuriy Kozachenko, Olga Polosmak
The paper characterizes uniform convergence rate for general classes of wavelet expansions of stationary Gaussian random processes. The convergence in probability is considered.
On convergence of general wavelet decompositions of nonstationary stochastic processes
Yuriy Kozachenko, Andriy Olenko, Olga Polosmak
The paper investigates uniform convergence of wavelet expansions of Gaussian random processes. The convergence is obtained under simple general conditions on processes and wavelets…
Asymptotic behaviour of functionals of cyclical long-range dependent random fields
Boris Klykavka, Andriy Olenko, Matthew Vicendese
Long-range dependent random fields with spectral densities which are unbounded at some frequencies are investigated. We demonstrate new examples of covariance functions which do no…
Uniform convergence of wavelet expansions of Gaussian random processes
Yuriy Kozachenko, Andriy Olenko, Olga Polosmak
New results on uniform convergence in probability for the most general classes of wavelet expansions of stationary Gaussian random processes are given.
Limit theorems for weighted functionals of cyclical long-range dependent random fields
Andriy Olenko
The paper investigates isotropic random fields for which the spectral density is unbounded at some frequencies. Limit theorems for weighted functionals of these random fields are e…