Central limit theorems for bounded random variables under belief

TL;DR

This paper extends a recent central limit theorem for belief functions to include general bounded random variables, broadening its applicability beyond additive probability measures.

Contribution

It generalizes the existing CLT for belief functions to encompass a wider class of bounded random variables, enhancing theoretical understanding.

Findings

Extended CLT to general bounded variables

Bridged belief functions with classical probability theory

Provided a natural extension of classical CLT

Abstract

Recently a new type of central limit theorem for belief functions was given in Epstein et al. [9]. In this paper, we generalize the central limit theorem in Epstein et al. [9] to accommodate general bounded random variables. These results are natural extension of the classical central limit theory for additive probability measures.