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.

中文翻译：

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逆回归残差的经验过程

在本文中，我们研究了以Radon变换为特征的间接回归模型。该模型可用于恢复通过计算机断层扫描获得的医学图像。间接回归函数是使用以频谱截止技术为动力的级数估计器来估计的。此外，我们研究了该回归的残差的经验过程，并表明它满足函数中心极限定理。