Let X and Y be two discrete random variables and f(X) and f(Y) be some functions ofX and Y respectively. Derive the most general inequality relationship between I(X;Y)and I(f(X); g(Y)).

Variables with discrete randomness can have a finite number of different values. A discrete random…

Answered: Let X and Y be two discrete random…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 29EQ

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Let X and Y be two discrete random variables and f(X) and f(Y) be some functions of X and Y respectively. Derive the most general inequality relationship between I(X;Y) and I(f(X); q(Y)).