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{{alias}}( [α, β] )
Returns a beta distribution object.
Parameters
----------
α: number (optional)
First shape parameter. Must be greater than `0`. Default: `1.0`.
β: number (optional)
Second shape parameter. Must be greater than `0`. Default: `1.0`.
Returns
-------
beta: Object
Distribution instance.
beta.alpha: number
First shape parameter. If set, the value must be greater than `0`.
beta.beta: number
Second shape parameter. If set, the value must be greater than `0`.
beta.entropy: number
Read-only property which returns the differential entropy.
beta.kurtosis: number
Read-only property which returns the excess kurtosis.
beta.mean: number
Read-only property which returns the expected value.
beta.median: number
Read-only property which returns the median.
beta.mode: number
Read-only property which returns the mode.
beta.skewness: number
Read-only property which returns the skewness.
beta.stdev: number
Read-only property which returns the standard deviation.
beta.variance: number
Read-only property which returns the variance.
beta.cdf: Function
Evaluates the cumulative distribution function (CDF).
beta.logcdf: Function
Evaluates the natural logarithm of the cumulative distribution function
(CDF).
beta.logpdf: Function
Evaluates the natural logarithm of the probability density function
(PDF).
beta.mgf: Function
Evaluates the moment-generating function (MGF).
beta.pdf: Function
Evaluates the probability density function (PDF).
beta.quantile: Function
Evaluates the quantile function at probability `p`.
Examples
--------
> var beta = {{alias}}( 1.0, 1.0 );
> beta.alpha
1.0
> beta.beta
1.0
> beta.entropy
0.0
> beta.kurtosis
-1.2
> beta.mean
0.5
> beta.median
0.5
> beta.mode
NaN
> beta.skewness
0.0
> beta.stdev
~0.289
> beta.variance
~0.0833
> beta.cdf( 0.8 )
0.8
> beta.logcdf( 0.8 )
~-0.223
> beta.logpdf( 1.0 )
0.0
> beta.mgf( 3.14 )
~7.0394
> beta.pdf( 1.0 )
1.0
> beta.quantile( 0.8 )
0.8
See Also
--------
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