Assessing the statistical significance of periodogram peaks
Assessing the statistical significance of periodogram peaks
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DOI：
10.1111/j.1365-2966.2008.12689.x
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发表时间：
2008-04-11
影响因子：
4.8
通讯作者：
Baluev, R. V.
中科院分区：
文献类型：
--
作者：
Baluev, R. V.
最小二乘（或伦斯卡格）周期图是一个强大的工具，在天文学的许多分支中经常使用它来搜索观测数据中的周期性。考虑了多个周期图的候选周期的统计显著性评估问题。基于极值理论的结果，给出了虚警概率的改进解析估计。这些参数包括虚警概率的上限（或显著性的下限）。为了确定这些估计的实际适用范围，对这些估计进行了数值检验。
The least-squares (or Lomb-Scargle) periodogram is a powerful tool that is routinely used in many branches of astronomy to search for periodicities in observational data. The problem of assessing the statistical significance of candidate periodicities for a number of periodograms is considered. Based on results in extreme value theory, improved analytic estimations of false alarm probabilities are given. These include an upper limit to the false alarm probability (or a lower limit to the significance). The estimations are tested numerically in order to establish regions of their practical applicability.