The Beta prime distribution
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![[SmartChart]](I/BetaPrimeDistribution_files/image001.gif)
![[SmartChart]](I/BetaPrimeDistribution_files/image002.gif)
![[SmartChart]](I/BetaPrimeDistribution_files/image003.gif)
Distribution name
|
Beta prime
distribution
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Common notation
|
![](I/BetaPrimeDistribution_files/image004.png)
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Parameters
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=
shape parameter (![](I/BetaPrimeDistribution_files/image006.png)
=
shape parameter (![](I/BetaPrimeDistribution_files/image008.png)
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Domain
|
![](I/BetaPrimeDistribution_files/image009.png)
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Probability density
function
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![](I/BetaPrimeDistribution_files/image010.png)
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Cumulative distribution
function
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![](I/BetaPrimeDistribution_files/image011.png)
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Mean
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![](I/BetaPrimeDistribution_files/image012.png)
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Variance
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![](I/BetaPrimeDistribution_files/image013.png)
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Other comments
|
The beta prime distribution is also called the inverted
beta or the beta distribution of the second kind or the Pearson
Type 6 distribution. The mode of the beta prime distribution is . There is no simple
closed form expression for its median.
Its non-central moments (for integral )
are:
![](I/BetaPrimeDistribution_files/image016.png)
|
Nematrian web functions
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “beta prime”.
Functions relating to a generalised version of this distribution including
additional location (i.e. shift) and scale parameters may be accessed by using
a DistributionName of “beta prime4”, see also including
additional shift and scale parameters. For details of other supported probability
distributions see here.
NAVIGATION LINKS
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