Goodness of fit tests for weighted histograms

Details Goodness of fit tests for weighted histograms Goodness of fit tests for weighted histograms

2007-12-27

arxiv.org/abs/0712.4250v2

Nuclear Instruments and Methods in Physics Research A 596 (2008) 439-445

Physics

Data Analysis, Statistics and Probability

15 pages, 5 figures, changed content

Scientific paper

10.1016/j.nima.2008.08.144

Weighted histogram in Monte-Carlo simulations is often used for the estimation of a probability density function. It is obtained as a result of random experiment with random events that have weights. In this paper the bin contents of weighted histogram are considered as a sum of random variables with random number of terms. Goodness of fit tests for weighted histograms and for weighted histograms with unknown normalization are proposed. Sizes and powers of the tests are investigated numerically.

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