Convergence in L p ([0, T]) of Wavelet Expansions of φ-Sub-Gaussian Random Processes-Reference-Cited by-同舟云学术

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

Published:2013-06-05 Issue:1 Volume:17 Page:139-153
ISSN:1387-5841
Container-title:Methodology and Computing in Applied Probability
language:en
Short-container-title:Methodol Comput Appl Probab

Author:

Kozachenko Yuriy,Olenko Andriy,Polosmak Olga

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s11009-013-9346-7.pdf

Reference22 articles.

1. Atto A, Berthoumieu Y (2012) Wavelet packets of nonstationary random processes: contributing factors for stationarity and decorrelation. IEEE Trans Inf Theory 58(1):317–330

2. Bardet JM, Tudor CA (2010) A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter. Stoch Process Appl 120(12):2331–2362

3. Buldygin VV, Kozachenko YuV (2000) Metric characterization of random variables and random processes. American Mathematical Society, Providence R.I.

4. Cambanis S, Masry E (1994) Wavelet approximation of deterministic and random signals: convergence properties and rates. IEEE Trans Inf Theory 40(4):1013–1029

5. Clausel M, Roueff F, Taqqu MS, Tudor C (2012) Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory. Appl Comput Harmon Anal 32(2):223–241

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1. Limit theorems for multifractal products of random fields;Journal of Mathematical Analysis and Applications;2024-03

2. Asymptotics of Running Maxima for φ-Subgaussian Random Double Arrays;Methodology and Computing in Applied Probability;2021-05-03

3. A useful result related with zeros of continuous compactly supported mother wavelets;International Journal of Wavelets, Multiresolution and Information Processing;2017-08-28

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