Statistical Analysis via the Cauchy Distribution: a New Method with an Application to Electoral Data

Abstract

Many natural phenomena are frequently influenced by multiple random factors which can often be plausibly modeled as normally distributed random variables. This paper proposes a novel method for the statistical analysis of such phenomena, exemplified through electoral processes. Election outcomes are determined not only by the stochastic support for various candidates but also by voter turnout, which can occasionally be a decisive factor. Furthermore, this study yields a tool for estimating election fraud.