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Minimal Dataset Size For Benford’s Law Application Cover

Abstract

Benford’s law describes the effect of specific first significant digit probability distribution in natural datasets. In the case of non-natural or artificial intervention within such datasets, the first digit probability distribution tends to deviate from the theoretical distribution. Benford’s law-based methods are useful in detecting unnatural changes in datasets indicating artificial manipulation of the original data. In our article, we first shortly describe the theory behind this law with the overview of Benford’s law properties. Then we focus on conformity tests for Benford’s law as methods for data change detection com-pared with original dataset. In our research, the datasets were collected from electricity consumption metering devices. We provide the results of conformity with Benford’s law for affected datasets within a series of simulations with extremely small datasets. This size of datasets violates some of the standard conformity rules for Benford’s law.

DOI: https://doi.org/10.2478/aei-2026-0009 | Journal eISSN: 1338-3957 | Journal ISSN: 1335-8243
Language: English
Page range: 38 - 45
Submitted on: Sep 17, 2025
Accepted on: Dec 30, 2025
Published on: Jun 17, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2026 Ardian Hyseni, Jaroslav Petráš, René Viliam Lupták, František Margita, Kristián Glajc, Ľubomír Pallaj, published by Technical University of Košice
This work is licensed under the Creative Commons Attribution 4.0 License.