In probability theory, statistics and econometrics, the Burr Type XII distribution or simply the Burr distribution[2] is a continuous probability distribution for a non-negative random variable.

The Burr (Type XII) distribution has probability density function:[4][5] The

parameter scales the underlying variate and is a positive real.

The cumulative distribution function is: It is most commonly used to model household income, see for example: Household income in the U.S. and compare to magenta graph at right.

, the random variable has a Burr Type XII distribution with parameters