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

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.