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.
@article{1256303535,
author = {Song, Kyungchul},
title = {Testing conditional independence via Rosenblatt transforms},
journal = {Ann. Statist.},
volume = {37},
number = {1},
year = {2009},
pages = { 4011-4045},
language = {en},
url = {http://dml.mathdoc.fr/item/1256303535}
}
Song, Kyungchul. Testing conditional independence via Rosenblatt transforms. Ann. Statist., Tome 37 (2009) no. 1, pp. 4011-4045. http://gdmltest.u-ga.fr/item/1256303535/