The radon transform inversion using moments.
Stat Probab Lett 2013 Mar; 83(3):936-942
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.
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
Robert Mnatsakanov, Department of Statistics, P.O. Box 6330, West Virginia University, Morgantown, WV 26506, USA
Statistics & Probability Letters