A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals

L. A. Khalfin, Lev B. Klebanov · The Annals of Probability · 1994

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.

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