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The radon transform inversion using moments.

Authors
Mnatsakanov-RM; Li-S
Source
Stat Probab Lett 2013 Mar; 83(3):936-942
NIOSHTIC No.
20042540
Abstract
The problem of recovering the multivariate probability density function f from the moments of its Radon transform Rf is studied. The approximation of the Radon transform Rf itself is obtained from the moments off. Under the mild conditions on f the uniform rates of convergence for the proposed constructions are established.
Keywords
Statistical-analysis; Mathematical-models; Analytical-methods; Analytical-processes; Quantitative-analysis; Statistical-quality-control; Radioactive-measurement; Gases; Biostatistics; Data-processing; Author Keywords: Radon transform inversion; Moment-recovered approximation; Hausdorff moment problem; Uniform rate of approximation
Contact
Robert Mnatsakanov, Department of Statistics, P.O. Box 6330, West Virginia University, Morgantown, WV 26506, USA
CODEN
SPLTDC
CAS No.
10043-92-2
Publication Date
20130301
Document Type
Journal Article
Email Address
rmnatsak@stat.wvu.edu
Fiscal Year
2013
NTIS Accession No.
NTIS Price
Identifying No.
B20130520
Issue of Publication
3
ISSN
0167-7152
NIOSH Division
HELD
Source Name
Statistics & Probability Letters
State
WV; PA
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