Chi-square goodness of fit tests for weighted histograms. Review and improvements
Gagunashvili, Nikolai
Data Analysis, Statistics and Probability
Instrumentation and Methods for Astrophysics
High Energy Physics - Experiment
Nuclear Experiment
Applications
62-07 (Primary) 62F03, 62F10, 62P35, 62P30 (Secondary)
Original · EN
Weighted histograms are used for the estimation of probability density functions. Computer simulation is the main domain of application of this type of histogram. A review of chi-square goodness of fit tests for weighted histograms is presented in this paper. Improvements are proposed to these tests that have size more close to its nominal value. Numerical examples are presented in this paper for evaluation of tests and to demonstrate various applications of tests.
English translation
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