Eur. Phys. J. Plus (2017) 132: 196
https://doi.org/10.1140/epjp/i2017-11481-1

Review

Tests for comparing weighted histograms. Review and improvements

University of Iceland, Sæmundargata 2, 101, Reykjavik, Iceland

^* e-mail: nikolay@hi.is

Received: 19 January 2017
Accepted: 1 April 2017
Published online: 2 May 2017

Abstract

Histograms with weighted entries are used to estimate probability density functions. Computer simulation is the main application of this type of histograms. A review on chi-square tests for comparing weighted histograms is presented in this paper. Improvements to these tests that have a size closer to its nominal value are proposed. Numerical examples are presented for evaluation and demonstration of various applications of the tests.