English

The empirical process of residuals from an inverse regression

Statistics Theory 2019-02-12 v1 Statistics Theory

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.

Keywords

Cite

@article{arxiv.1902.03418,
  title  = {The empirical process of residuals from an inverse regression},
  author = {Tim Kutta and Nicolai Bissantz and Justin Chown and Holger Dette},
  journal= {arXiv preprint arXiv:1902.03418},
  year   = {2019}
}