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Convergence Rate of Wavelet Expansions of Gaussian Random Processes
Authors:Yuriy Kozachenko  Olga Polosmak
Affiliation:1. Department of Probability Theory, Statistics and Actuarial Mathematics , Taras Shevchenko Kyiv National University , Kyiv , Ukraine;2. Department of Economic Cybernetics , Taras Shevchenko Kyiv National University , Kyiv , Ukraine
Abstract:This article characterizes uniform convergence rate for general classes of wavelet expansions of stationary Gaussian random processes. The convergence in probability is considered.
Keywords:Convergence rate  Convergence in probability  Gaussian process  Random process  Uniform convergence  Wavelets
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