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A viable method for goodness-of-fit test in maximum likelihood fit |
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| Authors: | ZHANG Feng ) GAO Yuan-Ning ) HUO Lei |
| Affiliation: | ZHANG Feng1,1) GAO Yuan-Ning2,3,2) HUO Lei1 1 Department of Physics,Harbin Institute of Technology,Harbin 150001,China 2 Key Laboratory of Particle & Radiation Imaging (Tsinghua University),Ministry of Education,Beijing 100084,China 3 Department of Engineering Physics,Tsinghua University,China |
| Abstract: | 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. |
| Keywords: | maximum likelihood fit goodness-of-fit test variance |
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