The Annals of Probability

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

L. A. Khalfin and L. B. Klebanov

Full-text: Open access

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.

Article information

Source
Ann. Probab., Volume 22, Number 4 (1994), 2235-2241.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176988502

Digital Object Identifier
doi:10.1214/aop/1176988502

Mathematical Reviews number (MathSciNet)
MR1331223

Zentralblatt MATH identifier
0834.60017

JSTOR
links.jstor.org

Subjects
Primary: 60E05: Distributions: general theory
Secondary: 44A05: General transforms [See also 42A38]

Keywords
Computer tomography Radon transformation measures with given marginals

Citation

Khalfin, L. A.; Klebanov, L. B. A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals. Ann. Probab. 22 (1994), no. 4, 2235--2241. doi:10.1214/aop/1176988502. https://projecteuclid.org/euclid.aop/1176988502


Export citation