A systematic error in maximum likelihood fitting

被引：11

作者：

Bergmann, UC ^{[1
]}

Riisager, K ^{[1
]}

机构：

[1] Aarhus Univ, Inst Phys & Astron, DK-8000 Aarhus C, Denmark

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2002年 / 489卷 / 1-3期

关键词：

maximum likelihood; Poisson distribution; biased estimate;

D O I：

10.1016/S0168-9002(02)00864-1

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

The maximum likelihood method is normally regarded as the safest method for parameter estimation, We show that this method will give a bias in the often occurring situation where a spectrum of counts is fitted with a theoretical function, unless the fit function is very simple. The bias can become significant A hen the spectrum contains less than about 100 counts or when the fit interval is too short. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：444 / 447

页数：4

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