F统计量引力波搜索的高阶批判统计量再分析
Reanalysis of F-statistic gravitational-wave searches with the higher criticism statistic
摘要：
我们提出了一种新的引力波探测方法，该方法使用了Donoho & Jin（2004）提出的一种改进形式的高级批评统计技术。更高的批评旨在检测一组稀疏的弱源，其中没有一个强到足以单独可靠地估计或检测。我们应用更高的批评作为第二次通过的方法，合成的F-统计量和C-统计数据的单色周期源的二进制系统和量化的改进相对于第一次通过的方法。我们发现，在最佳条件下（即确切知道双星轨道），对C统计数据的更高批评比单独的C统计数据更敏感约6%，并且随着轨道参数误差的增加，相对优势增加。更高的批评是强大的，即使当源不是单色的（例如，在吸积系统中的相位漂移）。在多个时间间隔上对相位漂移源应用更高的批评给出了>30%的可检测性增加，而对频率演变的假设很少。相比之下，在由最亮源主导的对未知周期源的全天空搜索中，第二遍更高的批评并不提供比第一遍搜索任何益处
英文摘要：
We propose a new method of gravitational wave detection using a modified form of higher criticism, a statistical technique introduced by Donoho & Jin (2004). Higher criticism is designed to detect a group of sparse, weak sources, none of which are strong enough to be reliably estimated or detected individually. We apply higher criticism as a second-pass method to synthetic F-statistic and C-statistic data for a monochromatic periodic source in a binary system and quantify the improvement relative to the first-pass methods. We find that higher criticism on C-statistic data is more sensitive by ~6% than the C-statistic alone under optimal conditions (i.e. binary orbit known exactly) and the relative advantage increases as the error in the orbital parameters increases. Higher criticism is robust even when the source is not monochromatic (e.g. phase wandering in an accreting system). Applying higher criticism to a phase-wandering source over multiple time intervals gives a >30% increase in detectability with few assumptions about the frequency evolution. By contrast, in all-sky searches for unknown periodic sources, which are dominated by the brightest source, second-pass higher criticism does not provide any benefits over a first pass search
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