# Moments of the distance between independent random vectors

## TL;DR

This paper establishes precise bounds on the moments of the distance between two independent random vectors in a Banach space, advancing understanding of their probabilistic behavior.

## Contribution

It introduces new sharp bounds on moments of distances between independent Banach space-valued random vectors, a novel theoretical development.

## Key findings

- Derived sharp bounds for moments of distances
- Applicable to various Banach space settings
- Enhances probabilistic analysis of random vectors

## Abstract

We derive various sharp bounds on moments of the distance between two independent random vectors taking values in a Banach space.