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Fluctuations in the email size modeled by a log-normal-like distribution

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arxiv 2501.04042 v1 pith:NQPGGO5E submitted 2025-01-04 physics.soc-ph physics.data-an

classification physics.soc-phphysics.data-an
keywords distributionfrequencymodelemailfluctuationspreviouslysizeaddress
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A previously established frequency distribution model combining a log-normal distribution with a logarithmic equation describes fluctuations in the email size during send requests. Although the frequency distribution fit was considered satisfactory, the underlying mechanism driving this distribution remains inadequately explained. To address this gap, this study introduced a novel email-send model that characterizes the sending process as an exponential function modulated by noise from a normal distribution. This model is consistent with both the observed frequency distribution and the previously proposed frequency distribution model.

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  1. Fluctuations in email size modeled using a gamma-like distribution

    physics.soc-ph 2025-06 conditional novelty 3.0 of 10

    A gamma-like email-size distribution fits the observed 2015 data better than the previous log-normal-like model, but the gain is small, fitted on the same data, and not statistically confirmed.

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