English

On the distinguishability of histograms

Data Analysis, Statistics and Probability 2013-11-26 v2 Instrumentation and Detectors

Abstract

We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two histograms are drawn from the same distribution). The approach is based on the notion "significance of deviation". This approach allows to estimate the statistical difference between two histograms using multi-dimensional test statistics. The distinguishability of histograms is estimated with the help of the construction a number of clones (rehistograms) of the observed histograms.

Keywords

Cite

@article{arxiv.1309.4649,
  title  = {On the distinguishability of histograms},
  author = {S. Bityukov and N. Krasnikov and A. Nikitenko and V. Smirnova},
  journal= {arXiv preprint arXiv:1309.4649},
  year   = {2013}
}

Comments

6 pages, 3 figures, 2 tables, added a footnote in page 2