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Smoothing of one and two-dimensional histograms with a diffusion algorithm

Peter Bock1

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Monte Carlo histograms with statistical fluctuations and without proper mathematical modelling are often used to analyse experimental data. A procedure to smooth one and two-dimensional histograms is described which uses a diffusion-like information exchange between neighboring bins to average over statistical fluctuations. The procedure is steered by two parameters which control the fraction of the total histogram content to be used in the local averaging process.

Keywords

Statistical Methods

Higgs Physics

PACS

05.10.Ln Monte Carlo methods

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

Subjects

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 08 (August 2006)

Received 5 October 2005, accepted for publication 4 July 2006

Published 24 August 2006



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