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:
“There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the distribution of wholes into causal series.”
—Ralph Waldo Emerson (1803–1882)