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

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ZHANG Feng, GAO Yuan-Ning and HUO Lei. A viable method for goodness-of-fit test in maximum likelihood fit[J]. Chinese Physics C, 2011, 35(6): 580-584. doi: 10.1088/1674-1137/35/6/014
ZHANG Feng, GAO Yuan-Ning and HUO Lei. A viable method for goodness-of-fit test in maximum likelihood fit[J]. Chinese Physics C, 2011, 35(6): 580-584.  doi: 10.1088/1674-1137/35/6/014 shu
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Received: 2010-09-07
Revised: 2010-11-22
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A viable method for goodness-of-fit test in maximum likelihood fit

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.

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