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Weighted histograms are used for the estimation of probability densityfunctions. Computer simulation is the main domain of application of this typeof histogram. A review of chi-square goodness of fit tests for weightedhistograms is presented in this paper. Improvements are proposed to these teststhat have size more close to its nominal value. Numerical examples arepresented in this paper for evaluation of tests and to demonstrate variousapplications of tests.

Chi-square goodness of fit tests for weighted histograms. Review and improvements