PRODUCTS
Mathematica
Mathematica for Students
Mathematica for the Classroom
grid
Mathematica
web
Mathematica
Mathematica Player
(free download)
Mathematica Player Pro
Wolfram
Workbench
Mathematica
Applications
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
FOR USERS
All User Resources
Product Registration
Technical Support
Customer Service
Developer Support
Does My Site Have a License?
Free Seminars
Certified Training
Custom Group Seminars
Documentation & Examples
Tutorial Screencasts
Video Gallery
Demonstrations Project
Education Portal
Student Resources
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Wolfram Blog
Mathematica Journal
Wolfram Library Archive
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
Mathematica
>
Data Manipulation
>
Statistics
>
Statistical Distributions
>
Discrete Statistical Distributions
>
Mathematica
>
Mathematics and Algorithms
>
Statistics
>
Statistical Distributions
>
Discrete Statistical Distributions
>
Built-in
Mathematica
Symbol
Discrete Distributions
Tutorials »
|
Zeta
HarmonicNumber
See Also »
|
Discrete Statistical Distributions
More About »
ZipfDistribution
ZipfDistribution
[
]
represents a Zipf distribution with parameter
.
MORE INFORMATION
The probability for value
x
in a Zipf distribution is proportional to
if
x
is a positive integer, and is zero otherwise.
»
ZipfDistribution
allows
to be any positive real number.
ZipfDistribution
can be used with such functions as
Mean
,
CDF
and
RandomInteger
.
»
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Mean and variance of a Zipf distribution:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Probability density function:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(3)
Applications
(2)
Properties & Relations
(3)
Possible Issues
(2)
SEE ALSO
Zeta
HarmonicNumber
TUTORIALS
Discrete Distributions
MORE ABOUT
Discrete Statistical Distributions
New in 6
© 2008 Wolfram Research, Inc.