The Radon transform inversion using moments

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.

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Year of publication:	2013
Authors:	Mnatsakanov, Robert M. ; Li, Shengqiao
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 3, p. 936-942
Publisher:	Elsevier
Subject:	Radon transform inversion \| Moment-recovered approximation \| Hausdorff moment problem \| Uniform rate of approximation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010616878