Joint entropy

Online calculator. This online calculator calculates joint entropy of two discrete random variables given a joint distribution table (X, Y) ~ p.
 


Input

$$Input=0.5\ 0.25\ 0.25\ 0$$

Solution

$$Joint\ Entropy\ H(X,Y) = 1.5000000000001$$

Joint Entropy Formula

$$Joint Entropy ={\sum_{i=1}\sum_{i=1}P(x,y)log_{2}\left[P(x,y\right)]}$$ \(x\) and \(y\) are particular values of \(X\) and \(Y\), respectively
\( P(x,y)\) is the joint probability of these values occurring together, and \(P(x,y)\log _{2}[P(x,y)]\) is defined to be \(0\) if \(P(x,y)=0_1\)

Online calculator. This online calculator calculates joint entropy of two discrete random variables given a joint distribution table (X, Y) ~ p.