Difference between revisions of "Zipf Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version=5}}</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 |
− | : | + | :''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. | ||
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:Returns P( X ≤ ''v'') when ''Cumulative'' = true. | :Returns P( X ≤ ''v'') when ''Cumulative'' = true. | ||
:First two parameters are same as above. | :First two parameters are same as above. | ||
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− | + | :{{example|1=<div><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''.</div>}} | |
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− | :{{example|1=<div><code><nowiki>Zipf[ 10, 1 , 5, false]</nowiki></code> yields ''<math>\frac{504}{7381}</math>''.</div>}} |
Revision as of 12:36, 3 September 2015
- 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 Algebra View and \frac{504}{7381} in the CAS View.