On the measuring of independence degree of the two discrete random variables

TL;DR

This paper introduces a new coefficient to quantitatively measure the independence of two discrete random variables and derives new inequalities for non-negative matrices.

Contribution

It presents a novel coefficient for measuring independence and establishes new matrix inequalities, advancing the quantitative analysis of variable independence.

Findings

New coefficient for independence measurement

Derived inequalities for non-negative matrices

Enhanced tools for analyzing discrete variables

Abstract

In this paper we construct the new coefficient which allows to measure quantitatively the independence of the two discrete random variables. The new inequalities for the matrices with non-negative elements are found