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A Bayesian framework for anomaly detection in scientific data based on Benford’s law
Simulation-based Benfordness estimation (SBBE) quantifies how closely a dataset conforms to Benford’s law, the characteristic distribution of the first significant digits observed in many naturally occurring datasets and widely used in data auditing. Applicable across scientific domains, SBBE provides uncertainty estimates and enables meaningful comparisons across datasets of different sizes. When applied to bioactivity data, SBBE ranks databases by curation quality and flags anomalous subsets for which targeted expert review is likely to yield the greatest benefit.