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:
“In his very rejection of art Walt Whitman is an artist. He tried to produce a certain effect by certain means and he succeeded.... He stands apart, and the chief value of his work is in its prophecy, not in its performance. He has begun a prelude to larger themes. He is the herald to a new era. As a man he is the precursor of a fresh type. He is a factor in the heroic and spiritual evolution of the human being. If Poetry has passed him by, Philosophy will take note of him.”
—Oscar Wilde (1854–1900)
“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)
“Glorious bouquets and storms of applause ... are the trimmings which every artist naturally enjoys. But to move an audience in such a role, to hear in the applause that unmistakable note which breaks through good theatre manners and comes from the heart, is to feel that you have won through to life itself. Such pleasure does not vanish with the fall of the curtain, but becomes part of one’s own life.”
—Dame Alice Markova (b. 1910)