Abstract

In statistical errors in variables models one observes a noisy convolution of an unknown density with a known error distribution, and the problem is to recover the unknown density. This problem amounts to ill-posed inversion of an operator. Such inversion requires regularization. After a brief summary of regularization in general we turn to deconvolution of functions on Abelian groups and focus in particular on the circle. Finally we propose a kind of error in variables model on the sphere (see also Chang (1989)) and mention some ensuing problems.

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