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arXiv · 1902.03418

The empirical process of residuals from an inverse regression

Tim Kutta·Nicolai Bissantz·Justin Chown·Holger Dette
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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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Tim Kutta, Nicolai Bissantz, Justin Chown, Holger Dette. 2019-02-09. The empirical process of residuals from an inverse regression. https://arxiv.org/abs/1902.03418

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