Difference between revisions of "Zipf Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
<noinclude>{{Manual Page|version=4.0}}<noinclude/>
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;Zipf( <Number of Elements>, <Exponent> )
{{command|probability}}
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:Returns a bar graph of a [[w:Zipf's law|Zipf distribution]].
;Zipf[ <Number of Elements>, <Exponent>, <Variable Value> ]
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: Parameters:
:{{description}}
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:''Number of Elements'': number of elements whose rank we study
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:''Exponent'': exponent characterizing the distribution
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;Zipf( <Number of Elements>, <Exponent> , <Boolean Cumulative> )
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:Returns a bar graph of a ''Zipf distribution'' when ''Cumulative'' = false.
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:Returns a graph of a cumulative Zipf distribution when ''Cumulative'' = true.
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:First two parameters are same as above.
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;Zipf( <Number of Elements>, <Exponent> , <Variable Value v>, <Boolean Cumulative> )
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:Let X be a Zipf random variable.
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:Returns P( X = ''v'') when ''Cumulative'' = false. 
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:Returns P( X ≤ ''v'') when ''Cumulative'' = true.
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:First two parameters are same as above.
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:{{example|1=<code><nowiki>Zipf(10, 1 , 5, false)</nowiki></code> yields ''0.07'' in the [[File:Menu view algebra.svg|link=|16px]] ''Algebra View'' and ''<math>\frac{504}{7381}</math>'' in the [[File:Menu view cas.svg|link=|16px]] ''CAS View''.}}

Latest revision as of 10:26, 11 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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