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

Yuriy Kozachenko; Andriy Olenko; Olga Polosmak

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

机译：φ-Sub-高斯随机过程的小波展开在Ln n pn（[0，T]）中的收敛性

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摘要

The article presents new results on convergence in L p ([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.

机译：本文介绍了关于φ-sub-Gaussian随机过程的小波展开L p（[0，T]）的收敛性的新结果。得到膨胀的收敛速度。讨论了所得结果的规格。

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来源
《Methodology and Computing in Applied Probability》 |2015年第1期|139-153|共15页
作者
Yuriy Kozachenko; Andriy Olenko; Olga Polosmak;
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作者单位

Department of Probability Theory Statistics and Actuarial Mathematics Kyiv University">(1);

Department of Mathematics and Statistics La Trobe University">(2);

Department of Economic Cybernetics Kyiv University">(3);

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原文格式 PDF
正文语种 eng
中图分类
关键词
Convergence rate; Convergence in probability; Sub-Gaussian random process; Wavelets;

机译：收敛速度;概率收敛;次高斯随机过程;小波;

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1. On uniform convergence of wavelet expansions of の-sub-Gaussian random processes [J] . Yu. V. Kozachenko, M. M. Perestyuk, O. I. Vasylyk Random operators and stochastic equations . 2006,第3期

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2. CONDITIONS FOR THE UNIFORM CONVERGENCEOF EXPANSIONS OF φ-SUB-GAUSSIAN STOCHASTIC PROCESSESIN FUNCTION SYSTEMS GENERATED BY WAVELETS [J] . YU. V. KOZACHENKO, E. V. TURCHIN Theory of probability and mathematical statistics . 2008,第Null期

机译：小波生成的φ-次高斯随机过程的展开一致收敛的条件
3. On the uniform convergence of wavelet expansions of random processes from Orlicz spaces of random variables. II [J] . Yu. V. Kozachenko, M. M. Perestyuk Ukrainian mathematical journal . 2008,第6期

机译：随机变量的Orlicz空间中随机过程的小波展开的一致收敛。 II
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7. Uniform Convergence of Compactly Supported Wavelet Expansions of Gaussian Random Processes [O] . Yuriy Kozachenko, Andriy Olenko, Olga Polosmak 2014

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

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