Difference between revisions of "Zipf Command"

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(removed extra CAS syntax)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
;Zipf[ <Number of Elements>, <Exponent> ]
+
;Zipf( <Number of Elements>, <Exponent> )
 
:Returns a bar graph of a [[w:Zipf's law|Zipf distribution]].
 
:Returns a bar graph of a [[w:Zipf's law|Zipf distribution]].
 
: Parameters:
 
: Parameters:
 
:''Number of Elements'': number of elements whose rank we study
 
:''Number of Elements'': number of elements whose rank we study
 
:''Exponent'': exponent characterizing the distribution
 
:''Exponent'': exponent characterizing the distribution
;Zipf[ <Number of Elements>, <Exponent> , <Boolean Cumulative> ]
+
;Zipf( <Number of Elements>, <Exponent> , <Boolean Cumulative> )
 
:Returns a bar graph of a ''Zipf distribution'' when ''Cumulative'' = false.
 
:Returns a bar graph of a ''Zipf distribution'' when ''Cumulative'' = false.
 
:Returns a graph of a cumulative Zipf distribution when ''Cumulative'' = true.
 
:Returns a graph of a cumulative Zipf distribution when ''Cumulative'' = true.
 
:First two parameters are same as above.
 
:First two parameters are same as above.
;Zipf[ <Number of Elements>, <Exponent> , <Variable Value v>, <Boolean Cumulative> ]
+
;Zipf( <Number of Elements>, <Exponent> , <Variable Value v>, <Boolean Cumulative> )
 
:Let X be a Zipf random variable.
 
:Let X be a Zipf random variable.
 
:Returns P( X = ''v'') when ''Cumulative'' = false.   
 
:Returns P( X = ''v'') when ''Cumulative'' = false.   

Revision as of 17:16, 7 October 2017


Zipf( <Number of Elements>, <Exponent> )
Returns a bar graph of a Zipf distribution.
Parameters:
Number of Elements: number of elements whose rank we study
Exponent: exponent characterizing the distribution
Zipf( <Number of Elements>, <Exponent> , <Boolean Cumulative> )
Returns a bar graph of a Zipf distribution when Cumulative = false.
Returns a graph of a cumulative Zipf distribution when Cumulative = true.
First two parameters are same as above.
Zipf( <Number of Elements>, <Exponent> , <Variable Value v>, <Boolean Cumulative> )
Let X be a Zipf random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
First two parameters are same as above.
Example:
Zipf[ 10, 1 , 5, false] yields 0.07 in the Menu view algebra.svg Algebra View and \frac{504}{7381} in the Menu view cas.svg CAS View.
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