English

Distribution free testing for linear regression. Extension to general parametric regression

Methodology 2020-02-10 v1 Statistics Theory Statistics Theory

Abstract

Recently a distribution free approach for testing parametric hypotheses based on unitary transformations has been suggested in \cite{Khm13, Khm16, Khm17} and further studied in \cite{Ngu17} and \cite{Rob19}. In this note we show that the transformation takes extremely simple form in distribution free testing of linear regression. Then we extend it to general parametric regression with vector-valued covariates.

Keywords

Cite

@article{arxiv.2002.02594,
  title  = {Distribution free testing for linear regression. Extension to general parametric regression},
  author = {Estate V. Khmaladze},
  journal= {arXiv preprint arXiv:2002.02594},
  year   = {2020}
}

Comments

23 pages, 5 figures

R2 v1 2026-06-23T13:33:48.826Z