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

Abstract

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.