# On a theorem of Baxter and Zeilberger via a result of Roselle

## TL;DR

This paper offers a new proof that the permutation statistics inv and maj are jointly asymptotically normal, utilizing a generating function by Roselle to address a question posed by Romik and Zeilberger.

## Contribution

It introduces a novel proof method for the asymptotic normality of inv and maj, leveraging Roselle's generating function to answer an open question.

## Key findings

- inv and maj are jointly asymptotically normally distributed
- The proof uses Roselle's generating function
- Addresses a question raised by Romik and Zeilberger

## Abstract

We provide a new proof of a result of Baxter and Zeilberger showing that inv and maj on permutations are jointly independently asymptotically normally distributed. The main feature of our argument is that it uses a generating function due to Roselle, answering a question raised by Romik and Zeilberger.