

CDF 

Mode 
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.
Generates a sample of the Pareto distribution.
Name 
Type 
Description 
alpha 
double 
the scale parameter > 0 
min 
double 
the minimum x value 
Type 
Description 
double 
the generated sample 
Generates a sample of the Pareto distribution with min set
to
1. Is equivalent to pareto(alpha, 1).
Name 
Type 
Description 
alpha 
double 
the scale parameter > 0 
Type 
Description 
double 
the generated sample 
Generates a sample of the Pareto distribution using the specified random number generator.
Name 
Type 
Description 
alpha 
double 
the scale parameter > 0 
min 
double 
the minimum x value 
r 
java.util.Random 
the random number generator 
Type 
Description 
double 
the generated sample 
This document includes content from the Stat::Fit User's Manual. Copyright © 2016 Geer Mountain Software Corp.