A new thresholding method, based on L-statistics and called order thresholding, is proposed as a technique for improving the power when testing against high-dimensional alternatives. The new method allows great flexibility in the choice of the threshold parameter. This results in improved power over the soft and hard thresholding methods. Moreover, order thresholding is not restricted to the normal distribution. An extension of the basic order threshold statistic to high-dimensional ANOVA is presented. The performance of the basic order threshold statistic and its extension is evaluated with extensive simulations.
Publié le : 2010-08-15
Classification:
Testing,
high-dimensional alternatives,
Hard thresholding,
Simes procedure,
linear combinations of order statistics,
HANOVA,
62F05,
62G30,
62K15
@article{1278861250,
author = {Kim, Min Hee and Akritas, Michael G.},
title = {Order thresholding},
journal = {Ann. Statist.},
volume = {38},
number = {1},
year = {2010},
pages = { 2314-2350},
language = {en},
url = {http://dml.mathdoc.fr/item/1278861250}
}
Kim, Min Hee; Akritas, Michael G. Order thresholding. Ann. Statist., Tome 38 (2010) no. 1, pp. 2314-2350. http://gdmltest.u-ga.fr/item/1278861250/