A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals
Khalfin, L. A. ; Klebanov, L. B.
Ann. Probab., Tome 22 (1994) no. 4, p. 2235-2241 / Harvested from Project Euclid
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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.
Publié le : 1994-10-14
Classification:  Computer tomography,  Radon transformation,  measures with given marginals,  60E05,  44A05 
@article{1176988502,
     author = {Khalfin, L. A. and Klebanov, L. B.},
     title = {A Solution of the Computer Tomography Paradox and Estimating the Distances Between the Densities of Measures with the Same Marginals},
     journal = {Ann. Probab.},
     volume = {22},
     number = {4},
     year = {1994},
     pages = { 2235-2241},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176988502}
}

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., Tome 22 (1994) no. 4, pp.  2235-2241. http://gdmltest.u-ga.fr/item/1176988502/