On partial convolution and mean comparison

TL;DR

This paper introduces the concept of partial convolution and uses it to provide a new perspective on mean comparison, offering potentially novel insights into the relationships between random variables.

Contribution

The paper presents a new approach to mean comparison by introducing the concept of partial convolution, differing from traditional methods.

Findings

Established a new perspective on mean comparison

Introduced the concept of partial convolution

Provided theoretical insights into mean relationships

Abstract

We prove mean comparison from a different perspective, where we introduce the concept of partial convolution.