Finding upper limits on the rate of events from a proposed process in the presence of unknown backgrounds is an often encountered problem in the search for rare processes. Methods based on unusually large "gaps", or spacings, in the event distribution allow to set limits on the rate of the proposed signal distribution. In this paper, we present two novel spacings-based methods: the "Sum of sorted spacings" and the "Product of complementary spacings" as tests and compare these to existing tests on synthetic data as well as on a published data set.
翻译:在寻找稀有过程时,通常会遇到一个在背景不明的情况下从拟议进程找到事件发生率上限的问题。基于异常大“差距”或间距的方法,如果分布允许对拟议信号分布率设定限制。在本文件中,我们提出两种基于间距的新方法:“分类间隔的缩略语”和“互补间隔的生成”作为测试,并与合成数据的现有测试以及已公布的数据集进行比较。</s>