The Dagum distribution
[this page | pdf | back links]
![[SmartChart]](I/DagumDistribution_files/image001.gif)
![[SmartChart]](I/DagumDistribution_files/image002.gif)
![[SmartChart]](I/DagumDistribution_files/image003.gif)
|
Distribution name
|
Dagum
distribution
|
|
Common notation
|
|
|
Parameters
|
 = shape
parameter ( )
 = shape
parameter ( )
 = scale
parameter ( )
|
|
Domain
|
|
|
Probability density
function
|
|
|
Cumulative distribution
function
|
|
|
Mean
|
|
|
Variance
|
where
|
|
Other comments
|
Also known as the Dagum type 1 distribution. Is used in
modelling income distributions. The cdf of a Dagum type 2 distribution adds a
point mass at the origin and then follows a Dagum type 1 distribution over
the positive halfline.
Its median is  and
its mode is  .
Its non-central moments are:
If then
 .
|
Nematrian web functions
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “dagum”.
Functions relating to a generalised version of this distribution including an
additional location (i.e. shift) parameter may be accessed by using a DistributionName
of “dagum4” ”, see also including
additional shift and scale parameters. For details of other supported
probability distributions see here.
NAVIGATION LINKS
Contents | Prev | Next