Asymptotic formulae for likelihood-based tests of new physics
Asymptotic formulae for likelihood-based tests of new physics
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DOI：
10.1140/epjc/s10052-011-1554-0
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发表时间：
2011-02-01
影响因子：
4.4
通讯作者：
Vitells, Ofer
中科院分区：
文献类型：
--
作者：
Cowan, Glen;Cranmer, Kyle;Vitells, Ofer
我们描述了基于似然的统计检验用于高能物理的新现象的发现和模型参数的置信区间的建设。我们专注于性能的测试程序，允许一个帐户系统的不确定性。利用Wilks和Wald的结果导出了检验统计量的渐近分布的显式公式。我们的动机和理由使用一个有代表性的数据集，称为“阿西莫夫数据集”，它提供了一个简单的方法来获得中位数的实验灵敏度的搜索或测量，以及波动的期望。
We describe likelihood-based statistical tests for use in high energy physics for the discovery of new phenomena and for construction of confidence intervals on model parameters. We focus on the properties of the test procedures that allow one to account for systematic uncertainties. Explicit formulae for the asymptotic distributions of test statistics are derived using results of Wilks and Wald. We motivate and justify the use of a representative data set, called the "Asimov data set", which provides a simple method to obtain the median experimental sensitivity of a search or measurement as well as fluctuations about this expectation.