The Empirical Process of Residuals from an Inverse Regression-Reference-Cited by-同舟云学术

The Empirical Process of Residuals from an Inverse Regression

Published:2019-04 Issue:2 Volume:28 Page:104-126
ISSN:1066-5307
Container-title:Mathematical Methods of Statistics
language:en
Short-container-title:Math. Meth. Stat.

Author:

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

Publisher

Allerton Press

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.3103/S1066530719020029.pdf

Reference51 articles.

1. M. G. Akritas and I. van Keilegom, “Nonparametric Estimation of the Residual Distribution”, Scandinavian J. Statist. 28, 549–567 (2001).

2. M. Bertero, P. Boccacci, G. Desiderà, and G. Vicidomini, “Image Deblurring with Poisson Data: From Cells to Galaxies”, Inverse Problems 25(12), 123006, 26 (2009).

3. P. J. Bickel and M. Rosenblatt, “On Some Global Measures of the Deviations of Density Function Estimates”, Ann. Statist. 1, 1071–1095 (1973).

4. N. Bissantz, J. Chown, and H. Dette, “Regularization Parameter Selection in Inidirect Regression by Residual Based Bootstrap”, Statist. Sinica (2018) (in press).

5. N. Bissantz, T. Hohage, A. Munk, and F. Ruymgaart, “Convergence Rates of General Regularization Methods for Statistical Inverse Problems”, SIAM J. Numerical Anal. 45, 2610–2636 (2007).

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