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

TL;DR

This paper models email size fluctuations using a log-normal-like distribution and introduces a new stochastic process model that explains the underlying mechanism behind these fluctuations.

Contribution

It proposes a novel exponential noise-modulated model for email sending, linking observed distributions with underlying process mechanisms.

Findings

The model fits observed email size distributions well.

The proposed process explains the log-normal-like distribution.

It bridges empirical data with theoretical modeling.

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.