English

Goodness-of-fit testing the error distribution in multivariate indirect regression

Methodology 2018-12-07 v1

Abstract

We propose a goodness-of-fit test for the distribution of errors from a multivariate indirect regression model. The test statistic is based on the Khmaladze transformation of the empirical process of standardized residuals. This goodness-of-fit test is consistent at the root-n rate of convergence, and the test can maintain power against local alternatives converging to the null at a root-n rate.

Keywords

Cite

@article{arxiv.1812.02409,
  title  = {Goodness-of-fit testing the error distribution in multivariate indirect regression},
  author = {Justin Chown and Nicolai Bissantz and Holger Dette},
  journal= {arXiv preprint arXiv:1812.02409},
  year   = {2018}
}

Comments

23 pages, 4 figures

R2 v1 2026-06-23T06:33:47.843Z