Estimating small signals by using maximum likelihood and Poisson statistics

被引：51

作者：

Hannam, MD ^{[1
]}

Thompson, WJ ^{[1
]}

机构：

[1] Univ N Carolina, Dept Phys & Astron, Chapel Hill, NC 27599 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 1999年 / 431卷 / 1-2期

关键词：

upper limit; confidence intervals; maximum likelihood; Poisson statistics; gaussian distribution; least squares;

D O I：

10.1016/S0168-9002(99)00269-7

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

Estimation of small signals from counting experiments with backgrounds larger than signals is solved using maximum likelihood estimation for situations in which both signal and background statistics are Poissonian. Confidence levels are discussed, and Poisson, Gauss and least-squares fitting methods are compared. Efficient algorithms that estimate signal strengths and cofidence levels are devised for computer implementation. Examples from simulated data and a low count rate experiment in nuclear physics are given. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：239 / 251

页数：13

共 32 条

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