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
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。