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)).
"Cramér-type moderate deviation for the maximum of the periodogram with application to simultaneous tests in gene expression time series." Ann. Statist. 38 (3) 1913 - 1935, June 2010. https://doi.org/10.1214/09-AOS774