Confidence intervals and upper bounds for small signals in the presence of background noise

被引：63

作者：

Rolke, WA

López, AM

机构：

[1] Univ Puerto Rico, Dept Math, Mayaguez, PR 00681 USA

[2] Univ Puerto Rico, Dept Phys, Mayaguez, PR 00681 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2001年 / 458卷 / 03期

关键词：

maximum likelihood; profile likelihood; confidence regions; coverage; Monte Carlo; sensitivity;

D O I：

10.1016/S0168-9002(00)00935-9

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

We discuss a new method for setting limits on small signals in the presence of background noise. The method is based on a combination of a two-dimensional confidence region and the large sample approximation to the likelihood ratio test statistic. It automatically quotes upper limits for small signals and two-sided confidence intervals for larger samples. We show that this method gives the correct coverage and also has good power. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：745 / 758

页数：14

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