Non-Central Limit Theorem Statistical Analysis for the "Long-tailed" Internet Society

TL;DR

This paper introduces a statistical analysis method and software for small sample data in internet society contexts where the central limit theorem does not apply, demonstrated through a large-scale case study.

Contribution

It presents a novel statistical analysis approach and software tailored for small samples in non-normal distributions, addressing a gap in current methods.

Findings

Effective analysis of small sample data

Applicability to internet society datasets

Insights from large-scale case study

Abstract

This article presents a statistical analysis method and introduces the corresponding software package "tailstat," which is believed to be widely applicable to today's internet society. The proposed method facilitates statistical analyses with small sample sets from given populations, which render the central limit theorem inapplicable. A large-scale case study demonstrates the effectiveness of the method and provides implications for applying similar analyses to other cases.