publication . Article . 2020

Local transformations with a singular wavelet

Open Access Russian
  • Published: 01 Mar 2020 Journal: Informatika, volume 17, issue 1, pages 39-46 (issn: 1816-0301, Copyright policy)
  • Publisher: The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
Abstract
<jats:p>The paper considers a local wavelet transform with a singular basis wavelet. The problem of nonparametric approximation of a function is solved by the use of the  sequence of local wavelet transforms. Traditionally believed that the wavelet should have an average equal to zero. Earlier, the author considered  singular wavelets when the average value is not equal to zero. As an example, the delta-shaped functions, participated in the estimates of Parzen – Rosenblatt and Nadara – Watson, were used as a wavelet. Previously,  a sequence of wavelet transforms for the entire numerical axis and finite interval was constructed for singular wavelets. </jats:p><ja...
Persistent Identifiers
Subjects
free text keywords: wavelet transform, singular wavelets, the parzen – rosenblatt window method, nonparametric estimator, nadaraya − watson kernel regression, lcsh:Electronic computers. Computer science, lcsh:QA75.5-76.95, Wavelet, Applied mathematics, Mathematics, Nonparametric statistics
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