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Differential Entropy

Entropy of continuous random variables.

Darshan N
Updated: 19 March 2026
5 min read

Differential Entropy Quiz

Test your grasp of continuous random variable entropy and its properties.

Question 1 of 3

Q1.The differential entropy of a Gaussian random variable X with variance sigma^2 is given by h(X) = (1/2) log(2*pi*e*sigma^2). If the variance is doubled, what is the change in differential entropy?