Idempotent one-sided approximation of median smoothers

There has been considerable interest recently in nonlinear smoothing algorithms for handling outliers in time series. The simpler algorithms are predominantly chosen to be rank-based selectors, and concatenations of these. Analytical investigation lags and is considered difficult, so that theoretica...

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Bibliographic Details
Published inJournal of approximation theory Vol. 58; no. 2; pp. 151 - 163
Main Author Rohwer, C.H
Format Journal Article
LanguageEnglish
Published Brugge Elsevier Inc 01.08.1989
Academic Press
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Median
Regularization
Approximation
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Summary:There has been considerable interest recently in nonlinear smoothing algorithms for handling outliers in time series. The simpler algorithms are predominantly chosen to be rank-based selectors, and concatenations of these. Analytical investigation lags and is considered difficult, so that theoretical understanding seems inadequate. It may be that a lattice is a useful structure for investigating and comparing smoothers, and a few related simple selectros are defined and investigated for this purpose.
ISSN:0021-9045
1096-0430
DOI:10.1016/0021-9045(89)90017-8