The empirical process of residuals from an inverse regression
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Date
2019
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Abstract
In this paper we investigate an indirect regression model characterized by the
Radon transformation. This model is useful for recovery of medical images obtained by computed tomography scans. The indirect regression function is estimated using a series estimator
motivated by a spectral cut-off technique. Further, we investigate the empirical process of
residuals from this regression, and show that it satsifies a functional central limit theorem.
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Keywords
indirect regression model, empirical process, Radon transform, inverse problems
Subjects based on RSWK
Regressionsanalyse, Approximative Inverse, Radon-Transformation