Example: Exponential Distribution
Let X be an exponentially distributed random variable with parameter λ, that is, with probability density function
Its differential entropy is then
Here, was used rather than to make it explicit that the logarithm was taken to base e, to simplify the calculation.
Read more about this topic: Differential Entropy
Famous quotes containing the word distribution:
“In this distribution of functions, the scholar is the delegated intellect. In the right state, he is, Man Thinking. In the degenerate state, when the victim of society, he tends to become a mere thinker, or, still worse, the parrot of other men’s thinking.”
—Ralph Waldo Emerson (1803–1882)