An application to probability laws of the noncontinuity of the inverse Radon transform

Eddy Mayer-Wolf

Statistics & Probability Letters, 1990, vol. 10, issue 1, 87-90

Abstract: While any [latin small letter f with hook][set membership, variant]L1(n) is uniquely determined by its Radon transform, we show in this note that the inverse transform is not continuous on L[infinity],1(Sn-1x) and provide a probabilistic interpretation: the Cramer--Wold device fails when convergence in total variation replaces weak convergence.

Keywords: Radon; transform; Cramer--Wold; device; total; variation (search for similar items in EconPapers)
Date: 1990
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