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Title: Cramér-type moderate deviation for the maximum of the periodogram with application to simultaneous tests in gene expression time series
Authors: Liu, Weidong
Shao, Qi-Man
Keywords: Moderate deviation
Simultaneous tests
Issue Date: Jun-2010
Citation: The Annals of statistics, 2010, v. 38, no. 3, p. 1913-1935
Abstract: In this paper, Cramér-type moderate deviations for the maximum of the periodogram and its studentized version are derived. The results are then applied to a simultaneous testing problem in gene expression time series. It is shown that the level of the simultaneous tests is accurate provided that the number of genes G and the sample size n satisfy G=exp(o(n1/3)).
Description: © Institute of Mathematical Statistics; article available at
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