摘要翻译：
本文讨论了探测光子到达时间序列中的周期性问题，例如，在探测伽马射线脉冲星时会出现这种问题。一个特别的焦点是如何使用辅助信息，典型的源强度，背景强度，以及与每个光子到达相关的入射角和能量来最大限度地提高探测功率。我们构造了一类基于似然性的测试--分数测试，它以原则性和自然性的方式产生事件权重，并导出了量化测试权重的表达式。这些结果可以用来比较不同权函数的效果，包括能量削减和入射角。该测试是针对周期光曲线的模板，我们量化了偏离该模板如何影响检测能力。
---
英文标题：
《Event Weighted Tests for Detecting Periodicity in Photon Arrival Times》
---
作者：
Peter Bickel, Bas Kleijn, and John Rice
---
最新提交年份：
2007
---
分类信息：

一级分类：Statistics        统计学
二级分类：Methodology        方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
--
一级分类：Statistics        统计学
二级分类：Methodology        方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
--
一级分类：Statistics        统计学
二级分类：Applications        应用程序
分类描述：Biology, Education, Epidemiology, Engineering, Environmental Sciences, Medical, Physical Sciences, Quality Control, Social Sciences
生物学，教育学，流行病学，工程学，环境科学，医学，物理科学，质量控制，社会科学
--

---
英文摘要：
  This paper treats the problem of detecting periodicity in a sequence of photon arrival times, which occurs, for example, in attempting to detect gamma-ray pulsars. A particular focus is on how auxiliary information, typically source intensity, background intensity, and incidence angles and energies associated with each photon arrival should be used to maximize the detection power. We construct a class of likelihood-based tests, score tests, which give rise to event weighting in a principled and natural way, and derive expressions quantifying the power of the tests. These results can be used to compare the efficacies of different weight functions, including cuts in energy and incidence angle. The test is targeted toward a template for the periodic lightcurve, and we quantify how deviation from that template affects the power of detection.
---
PDF链接：
https://arxiv.org/pdf/706.4108