Mathematical Model of Word Length on the Basis of the Cebanov-Fucks Distribution with Uniform Parameter Distribution

TL;DR

This paper introduces a two-parameter word length model based on a uniform Poisson distribution, analyzing linguistic data across 13 languages and revealing parameter dependencies in German texts and letter genres.

Contribution

It presents a novel two-parameter model for word length distribution using a uniform Poisson approach, expanding the Cebanov-Fucks distribution framework.

Findings

Parameter dependencies identified in German texts and letter genres

Model fits data across 13 languages

Statistical relationships between model parameters

Abstract

The data on 13 typologically different languages have been processed using a two-parameter word length model, based on 1-displaced uniform Poisson distribution. Statistical dependencies of the 2nd parameter on the 1st one are revealed for the German texts and genre of letters.