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October, 1994 A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals
L. A. Khalfin, L. B. Klebanov
Ann. Probab. 22(4): 2235-2241 (October, 1994). DOI: 10.1214/aop/1176988502

Abstract

We give estimates of the distances between the densities of measures having the same finite number of the same marginals. These estimates give a solution of the computer tomography paradox of Gutman, Kemperman, Reeds and Shepp, and open the possibility for construction of a new method of inversion of the Radon transformation.

Citation

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L. A. Khalfin. L. B. Klebanov. "A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals." Ann. Probab. 22 (4) 2235 - 2241, October, 1994. https://doi.org/10.1214/aop/1176988502

Information

Published: October, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0834.60017
MathSciNet: MR1331223
Digital Object Identifier: 10.1214/aop/1176988502

Subjects:
Primary: 60E05
Secondary: 44A05

Keywords: Computer tomography , measures with given marginals , Radon transformation

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 4 • October, 1994
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