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Problemy Peredachi Informatsii, 2001, Volume 37, Issue 1, Pages 28–51 (Mi ppi507)  
This article is cited in 1 scientific paper (total in 1 paper)

Methods of Signal Processing

Asymptotically Efficient Smoothing in the Wicksell Problem under Squared Losses

G. K. Golubev, F. N. Enikeeva
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Abstract: In the Wicksell problem, it is required to reconstruct a distribution function of radii of balls located in an opaque medium from measurements of radii of circles obtained by intersecting the medium with a certain plane. This problem is intimately bound up with estimating a fractional derivative of order 1/2 for a distribution function concentrated on the positive semi-axis. In this paper, the locally asymptotically minimax risk in the Wicksell problem is evaluated up to a constant. Estimators on which this risk is attained are also constructed.
Received: 17.05.2000
Revised: 28.09.2000
English version:
Problems of Information Transmission, 2001, Volume 37, Issue 1, Pages 24–45
DOI: https://doi.org/10.1023/A:1010495609901
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: G. K. Golubev, F. N. Enikeeva, “Asymptotically Efficient Smoothing in the Wicksell Problem under Squared Losses”, Probl. Peredachi Inf., 37:1 (2001), 28–51; Problems Inform. Transmission, 37:1 (2001), 24–45
Citation in format AMSBIB
\Bibitem{GolEni01}
\by G.~K.~Golubev, F.~N.~Enikeeva
\paper Asymptotically Efficient Smoothing in the Wicksell Problem under Squared Losses
\jour Probl. Peredachi Inf.
\yr 2001
\vol 37
\issue 1
\pages 28--51
\mathnet{http://mi.mathnet.ru/ppi507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099241}
\zmath{https://zbmath.org/?q=an:1006.62034}
\transl
\jour Problems Inform. Transmission
\yr 2001
\vol 37
\issue 1
\pages 24--45
\crossref{https://doi.org/10.1023/A:1010495609901}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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