https://doi.org/10.1140/epjp/i2013-13143-8
Regular Article
On the distinguishability of histograms
1
Institute for high energy physics, 142281, Protvino, Russia
2
Institute for nuclear research RAS, 117312, Moscow, Russia
3
Imperial College, London, UK
4
Joint institute for nuclear research, Dubna, Russia
* e-mail: Serguei.Bitioukov@cern.ch
Received:
20
September
2013
Revised:
11
November
2013
Accepted:
12
November
2013
Published online:
27
November
2013
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 of “significance of deviation”. This approach allows to estimate the statistical difference between two histograms using multi-dimensional test statistics. The distinguishability of the histograms is estimated by constructing a number of clones (rehistograms) of the observed histograms.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
