Order thresholding

Details Order thresholding Order thresholding

2010-10-20

arxiv.org/abs/1010.4123v1

Annals of Statistics 2010, Vol. 38, No. 4, 2314-2350

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/09-AOS782 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/09-AOS782

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.

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