Note
Power law distributions have a well defined mean only if the exponent exceeds 1 and have a finite variance only when the exponent exceeds two. To apply the central limit theorem (and related statistics) to a power law distributed variable it is first necessary to ensure that the distribution has an exponent that exceeds 2.
Read more about this topic: Power Law
Famous quotes containing the word note:
“Alexander Woollcott broadcasts the story of the wife who returned a dog to the Seeing Eye with this note attached: “I am sending the dog back. My husband used to depend on me. Now he is independent, and I never know where he is.””
—For the State of New Jersey, U.S. public relief program (1935-1943)
“Poor old Jonathan Bing
Went home and addressed a short note to the King:
If you please will excuse me
I won’t come to tea;
For home’s the best place for
All people like me!”
—Beatrice Curtis Brown (1901–1974)
“I note what you say of the late disturbances in your College. These dissensions are a great affliction on the American schools, and a principal impediment to education in this country.”
—Thomas Jefferson (1743–1826)