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{{alias}}( [k, λ] )
Returns an Erlang distribution object.
Parameters
----------
k: number (optional)
Shape parameter. Must be a positive integer. Default: `1.0`.
λ: number (optional)
Rate parameter. Must be greater than `0`. Default: `1.0`.
Returns
-------
erlang: Object
Distribution instance.
erlang.k: number
Shape parameter. If set, the value must be a positive integer.
erlang.lambda: number
Rate parameter. If set, the value must be greater than `0`.
erlang.entropy: number
Read-only property which returns the differential entropy.
erlang.kurtosis: number
Read-only property which returns the excess kurtosis.
erlang.mean: number
Read-only property which returns the expected value.
erlang.mode: number
Read-only property which returns the mode.
erlang.skewness: number
Read-only property which returns the skewness.
erlang.stdev: number
Read-only property which returns the standard deviation.
erlang.variance: number
Read-only property which returns the variance.
erlang.cdf: Function
Evaluates the cumulative distribution function (CDF).
erlang.logpdf: Function
Evaluates the natural logarithm of the probability density function
(PDF).
erlang.mgf: Function
Evaluates the moment-generating function (MGF).
erlang.pdf: Function
Evaluates the probability density function (PDF).
erlang.quantile: Function
Evaluates the quantile function at probability `p`.
Examples
--------
> var erlang = {{alias}}( 6, 5.0 );
> erlang.k
6
> erlang.lambda
5.0
> erlang.entropy
~0.647
> erlang.kurtosis
1.0
> erlang.mean
1.2
> erlang.mode
1.0
> erlang.skewness
~0.816
> erlang.stdev
~0.49
> erlang.variance
0.24
> erlang.cdf( 3.0 )
~0.997
> erlang.logpdf( 3.0 )
~-4.638
> erlang.mgf( -0.5 )
~0.564
> erlang.pdf( 3.0 )
~0.01
> erlang.quantile( 0.8 )
~1.581
See Also
--------
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