Publications

The Empirical Process of Residuals from an Inverse Regression

Kutta, T. and Bissantz, N. and Chown, J. and Dette, H.

MATHEMATICAL METHODS OF STATISTICS
Volume: 28 Pages: 104-126
DOI: 10.3103/S1066530719020029
Published: 2019

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 cutoff technique. Further, we investigate the empirical process of residuals from this regression, and show that it satisfies a functional central limit theorem. © 2019, Allerton Press, Inc.

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