# Two theorems on distribution of Gaussian quadratic forms

## TL;DR

This paper presents new theoretical results comparing the distributions of Gaussian quadratic forms, advancing understanding in probability theory and statistical analysis.

## Contribution

It introduces two theorems that provide novel insights into the distributional properties of Gaussian quadratic forms.

## Key findings

- Derived new comparison theorems for Gaussian quadratic forms
- Enhanced understanding of distributional behavior of quadratic forms
- Potential applications in statistical hypothesis testing

## Abstract

New results on comparison of distributions of Gaussian quadratic forms are presented