English

Testing conditional independence via Rosenblatt transforms

Statistics Theory 2009-11-20 v1 Statistics Theory

Abstract

This paper proposes new tests of conditional independence of two random variables given a single-index involving an unknown finite-dimensional parameter. The tests employ Rosenblatt transforms and are shown to be distribution-free while retaining computational convenience. Some results from Monte Carlo simulations are presented and discussed.

Keywords

Cite

@article{arxiv.0911.3787,
  title  = {Testing conditional independence via Rosenblatt transforms},
  author = {Kyungchul Song},
  journal= {arXiv preprint arXiv:0911.3787},
  year   = {2009}
}

Comments

Published in at http://dx.doi.org/10.1214/09-AOS704 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T14:13:40.948Z