  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.
