arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0908.1145math.PRmath.STstat.TH
收藏

周期图最大值的Cramér型中偏差及其在基因表达时间序列同时检验中的应用

Cramér Type Moderate Deviation for the Maximum of the Periodogram with Application to Simultaneous Tests in Gene Expression Time Series

Weidong Liu, Qi Man Shao

摘要:

本文导出了周期图最大值的Cramér型中偏差及其学生化形式。然后将结果应用于基因表达时间序列的同时测试问题。结果表明,如果基因数$G$和样本量$n$满足$G=\exp(o(n^{1/3}))$,则同时检验的水平是准确的。

英文摘要:

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 $G=\exp(o(n^{1/3}))$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑