A viable method for goodness-of-fit test in maximum likelihood fit

A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smooth...

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Bibliographic Details
Published inChinese physics C Vol. 35; no. 6; pp. 580 - 584
Main Author 张锋 高原宁 霍雷
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.06.2011
Department of Engineering Physics, Tsinghua University, Beijing 100084, China
Department of Physics, Harbin Institute of Technology, Harbin 150001, China%Key Laboratory of Particle & Radiation Imaging Tsinghua University, Ministry of Education, Beijing 100084, China
Subjects
Correlation
Correlation coefficients
Monte Carlo methods
Statistics
估计
体能测试
功能变化
最大似然函数
检验统计量
测试统计
相关系数
蒙特卡罗技术
variance
maximum likelihood fit
goodness-of-fit test
Online AccessGet full text
ISSN1674-1137
0254-3052
2058-6132
DOI10.1088/1674-1137/35/6/014

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Summary:A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.
Bibliography:maximum likelihood fit; goodness-of-fit test; variance
11-5641/O4
A test statistic is proposed to perform the goodness-of-fit test in the unbinned maximum likelihood fit. Without using a detailed expression of the efficiency function, the test statistic is found to be strongly correlated with the maximum likelihood function if the efficiency function varies smoothly. We point out that the correlation coefficient can be estimated by the Monte Carlo technique. With the established method, two examples are given to illustrate the performance of the test statistic.
ZHANG Feng, GAO Yuan-Ning, HUO Lei（ Department of Physics, Harbin Institute of Technology, Harbin 000, China Key Laboratory of Particle ＆ Radiation Imaging （Tsinghua University）, Ministry of Education, Beijing 100084, China 3 Department of Engineering Physics, Tsinghua University, Beijing 100084, China）
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ISSN:1674-1137
0254-3052
2058-6132
DOI:10.1088/1674-1137/35/6/014