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On the distinguishability of histograms

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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 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.

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References

  1. F. Porter, Testing Consistency of Two Histograms, arXiv:0804.0380 (2008) http://xxx.lanl.gov/abs/0804.0380

  2. N.D. Gagunashvili, Nucl. Instrum. Methods A 614, 287 (2010)

    Article  ADS  Google Scholar 

  3. S.I. Bityukov, N.V. Krasnikov, A.N. Nikitenko, V.V. Smirnova, A method for statistical comparison of histograms, arXiv:1302.2651 (2013) http://xxx.lanl.gov/abs/1302.2651

  4. B. Efron, Ann. Stat. 7, 1 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  5. S.I. Bityukov, N. V. Krasnikov, Nucl. Instrum. Methods A 534, 152 (2004)

    Article  ADS  Google Scholar 

  6. R. Brun, F. Rademaker, Nucl. Instrum. Methods A 389, 81 (1997)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute for high energy physics, 142281, Protvino, Russia

    S. Bityukov & V. Smirnova

  2. Institute for nuclear research RAS, 117312, Moscow, Russia

    S. Bityukov & N. Krasnikov

  3. Imperial College, London, UK

    A. Nikitenko

  4. Joint institute for nuclear research, Dubna, Russia

    N. Krasnikov

Authors
  1. S. Bityukov
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  2. N. Krasnikov
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  3. A. Nikitenko
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  4. V. Smirnova
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Correspondence to S. Bityukov.

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Bityukov, S., Krasnikov, N., Nikitenko, A. et al. On the distinguishability of histograms. Eur. Phys. J. Plus 128, 143 (2013). https://doi.org/10.1140/epjp/i2013-13143-8

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  • DOI: https://doi.org/10.1140/epjp/i2013-13143-8

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