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IMI/Publicaţii/CSJM/Ediţii/CSJM v.29, n.2 (86), 2021/

BeyondBenford R Package to compare Benford's and BDS's Distributions

Authors: Stéphane Blondeau Da Silva
Keywords: Benford's law, digits, experimental data, R-package.

Abstract

The package BeyondBenford compares the goodness of fit of Benford’s and Blondeau Da Silva’s (BDS's) digit distributions in a given dataset. It first enables to check whether the data distribution is consistent with theoretical distributions highlighted by Blondeau Da Silva or not; indeed, this ideal theoretical distribution must be at least approximately followed by the data for the use of BDS’s model to be well-founded. It also allows to draw histograms of digit frequencies or probabilities (and their confidence or prediction intervals), both observed in the dataset and given by the two theoretical approaches. Finally, it proposes to quantify the goodness of fit of these laws via Pearson’s chi-squared tests.

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