Convergence in Lp([0, T]) of Wavelet Expansions of φ-Sub-Gaussian Random Processes

被引:0
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作者
Yuriy Kozachenko
Andriy Olenko
Olga Polosmak
机构
[1] Kyiv University,Department of Probability Theory, Statistics and Actuarial Mathematics
[2] La Trobe University,Department of Mathematics and Statistics
[3] Kyiv University,Department of Economic Cybernetics
关键词
Convergence rate; Convergence in probability; Sub-Gaussian random process; Wavelets; 60G10; 60G15; 42C40;
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学科分类号
摘要
The article presents new results on convergence in Lp([0,T]) of wavelet expansions of φ-sub-Gaussian random processes. The convergence rate of the expansions is obtained. Specifications of the obtained results are discussed.
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页码:139 / 153
页数:14
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