13 citations · 16 across the 4 of their papers we have counts for
4 papers
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…
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.