Exponential Inequalities in Stochastic Inverse Problems Using an Iterative Method

Abdelnasser Dahmani and Karima Belaide

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 11, 2385-2397

Abstract: We consider an iterative method in order to solve linear inverse problems. We establish exponential inequalities for the probability of the distance between the approximated solution and the exact one for a calibration problem. The approximate is given by an iterative method with Gaussian errors. We treat an operator equation of the form Ax = u, where A is a compact operator.

Date: 2015
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DOI: 10.1080/03610926.2013.879183

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