dc.contributor.author | Kulik, R. | en |
dc.contributor.author | Sapatinas, Theofanis | en |
dc.contributor.author | Wishart, J. R. | en |
dc.creator | Kulik, R. | en |
dc.creator | Sapatinas, Theofanis | en |
dc.creator | Wishart, J. R. | en |
dc.date.accessioned | 2019-12-02T10:36:36Z | |
dc.date.available | 2019-12-02T10:36:36Z | |
dc.date.issued | 2015 | |
dc.identifier.issn | 1063-5203 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57194 | |
dc.description.abstract | We consider multichannel deconvolution in a periodic setting with long-memory errors under three different scenarios for the convolution operators, i.e., super-smooth, regular-smooth and box-car convolutions. We investigate global performances of linear and hard-thresholded non-linear wavelet estimators for functions over a wide range of Besov spaces and for a variety of loss functions defining the risk. In particular, we obtain upper bounds on convergence rates using the Lp-risk (1≤ < ∞). Contrary to the case where the errors follow independent Brownian motions, it is demonstrated that multichannel deconvolution with errors that follow independent fractional Brownian motions with different Hurst parameters results in a much more involved situation. An extensive finite-sample numerical study is performed to supplement the theoretical findings. © 2014 Elsevier Inc. All rights reserved. | en |
dc.source | Applied and Computational Harmonic Analysis | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84925289095&doi=10.1016%2fj.acha.2014.04.004&partnerID=40&md5=0eec60b38aaa4b2e8614129870bdc55b | |
dc.subject | Errors | en |
dc.subject | Sampling | en |
dc.subject | Brownian movement | en |
dc.subject | Banach spaces | en |
dc.subject | Brownian motion | en |
dc.subject | Convolution | en |
dc.subject | Fourier analysis | en |
dc.subject | Wavelet analysis | en |
dc.subject | Thresholding | en |
dc.subject | Besov spaces | en |
dc.subject | Deconvolution | en |
dc.subject | Meyer wavelets | en |
dc.subject | Multichannel deconvolution | en |
dc.subject | Fractional | en |
dc.subject | Meyer wavelet | en |
dc.subject | Multichannel | en |
dc.title | Multichannel deconvolution with long range dependence: Upper bounds on the Lp-risk (1 ≤ p < ∞) | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.acha.2014.04.004 | |
dc.description.volume | 38 | |
dc.description.issue | 3 | |
dc.description.startingpage | 357 | |
dc.description.endingpage | 384 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :1</p> | en |
dc.source.abbreviation | Appl Comput Harmonic Anal | en |
dc.contributor.orcid | Sapatinas, Theofanis [0000-0002-6126-4654] | |
dc.gnosis.orcid | 0000-0002-6126-4654 | |