pareto
The Pareto distribution is a continuous distribution bounded on the
lower side. It has a finite value at the minimum x and decreases
monotonically for increasing x. A Pareto random variable is the
exponential of an Exponential random variable, and possesses many of
the same characteristics.
The Pareto distribution has, historically, been used to represent the
income distribution of a society. It is also used to model many
empirical phenomena with very long right tails, such as city population
sizes, occurrence of natural resources, stock price fluctuations, size
of firms, brightness of comets, and error clustering in communication
circuits.
The shape of the Pareto curve changes slowly with alpha, but the tail of
the distribution increases dramatically with decreasing alpha.
Samples

pareto(double
alpha,
double min)

Description
Generates a sample of the Pareto distribution.
Parameters
Name 
Type 
Description 
alpha 
double 
the scale
parameter > 0 
min 
double 
the
minimum
x value 
Result
Type 
Description 
double 
the
generated sample 

pareto(double
alpha)

Description
Generates a sample of the Pareto distribution with min set
to
1. Is equivalent to pareto(alpha, 1).
Parameters
Name 
Type 
Description 
alpha 
double 
the
scale parameter > 0 
Result
Type 
Description 
double 
the
generated sample 

pareto(double
alpha,
double min, java.util.Random r)

Description
Generates a sample of the Pareto distribution using the
specified random number generator.
Parameters
Name 
Type 
Description 
alpha 
double 
the scale
parameter > 0 
min 
double 
the
minimum
x value 
r 
java.util.Random 
the random
number generator 
Result
Type 
Description 
double 
the
generated sample 