The Radon transform inversion using moments

Robert M. Mnatsakanov and Shengqiao Li

Statistics & Probability Letters, 2013, vol. 83, issue 3, 936-942

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 of f. Under the mild conditions on f the uniform rates of convergence for the proposed constructions are established.

Keywords: Radon transform inversion; Moment-recovered approximation; Hausdorff moment problem; Uniform rate of approximation (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2012.11.026

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