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2017

Bayesian Block Histogramming for High Energy Physics

Pollack, Brian, Bhattacharya, Saptaparna, Schmitt, Michael

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The Bayesian Block algorithm, originally developed for applications in astronomy, can be used to improve the binning of histograms in high energy physics.

The visual improvement can be dramatic, as shown here with two simple examples.
More importantly, this algorithm and the histogram is produces is a non-parametric density estimate, providing a description of background distributions that does not suffer from the arbitrariness of ad hoc analytical functions.
The statistical power of an hypothesis test based on Bayesian Blocks is nearly as good as that obtained by fitting analytical functions.

Bayesian Block Histogramming for High Energy Physics · Around

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