Chi-Square Tests for Comparison Weighted Histograms
نویسنده
چکیده
Weighted histograms in Monte-Carlo simulations are often used for the estimation of probability density functions. They are obtained as a result of random experiment with random events that have weights. In this paper the bin contents of a weighted histogram are considered as a sum of random variables with a random number of terms. Generalizations of the classical chi-square test for comparing weighted histograms are proposed. Numerical examples illustrate an application of the tests for the histograms with different statistics of events and different weighted functions. Proposed tests can be used for the comparison of experimental data histograms against simulated data histograms and for two simulated data histograms.
منابع مشابه
Comparison of weighted and unweighted histograms
Two modifications of the χ2 test for comparing usual (unweighted) and weighted histograms and two weighted histograms are proposed. Numerical examples illustrate an application of the tests for the histograms with different statistics of events. Proposed tests can be used for the comparison of experimental data histograms against simulated data histograms and two simulated data histograms.
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