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On the Functional H...
On the Functional Hodrick-Prescott Filter with Non-compact Operators
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- Djehiche, Boualem (author)
- KTH,Matematisk statistik,KTH Royal Institute of Technology
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- Hilbert, Astrid (author)
- Linnéuniversitetet,Institutionen för matematik (MA),DISA-DSM
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- Nassar, Hiba (author)
- Linnéuniversitetet,Institutionen för matematik (MA)
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(creator_code:org_t)
- 2016-02-05
- 2016
- English.
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In: Random Operators and Stochastic Equations. - : Walter de Gruyter. - 0926-6364 .- 1569-397X. ; 24:1, s. 33-42
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Abstract
Subject headings
Close
- We study a version of the functional Hodrick-Prescott filter where the associated operator is not necessarily compact, but merely closed and densely defined with closed range. We show that the associate doptimal smoothing operator preserves the structure obtained in the compact case, when the underlying distribution of the data is Gaussian.
Subject headings
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Inverse problems
- adaptive estimation
- Hodrick–Prescott filter
- smoothing
- trend extraction
- Gaussian measures on a Hilbert space
- Mathematics
- Matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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