Self-similar Process - The Heavy-tail Distribution

The Heavy-tail Distribution

A distribution is said to have a heavy tail if

$\lim_{x \to \infty} e^{\lambda x}\Pr = \infty \quad \mbox{for all } \lambda>0.\,$

One simple example of a heavy-tailed distribution is the Pareto distribution.

Read more about this topic: Self-similar Process

Famous quotes containing the word distribution:

“The question for the country now is how to secure a more equal distribution of property among the people. There can be no republican institutions with vast masses of property permanently in a few hands, and large masses of voters without property.... Let no man get by inheritance, or by will, more than will produce at four per cent interest an income ... of fifteen thousand dollars] per year, or an estate of five hundred thousand dollars.”
—Rutherford Birchard Hayes (1822–1893)