First Digit Oscillations

Don Lemons, Nathan Lemons and William Peter
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Don Lemons: Department of Physics, Bethel College, North Newton, KS 67117, USA
Nathan Lemons: Los Alamos National Laboratory, Los Alamos, NM 87545, USA
William Peter: John Hopkins Applied Physics Laboratory, Laurel, MD 20723, USA

Stats, 2021, vol. 4, issue 3, 1-7

Abstract: The frequency of the first digits of numbers drawn from an exponential probability density oscillate around the Benford frequencies. Analysis, simulations and empirical evidence show that datasets must have at least 10,000 entries for these oscillations to emerge from finite-sample noise. Anecdotal evidence from population data is provided.

Keywords: Benford’s law; oscillations; exponential probability density (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2021
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