@stdlib/stats
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Standard library statistical functions.
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{{alias}}( [μ, b] )
Returns a Laplace distribution object.
Parameters
----------
μ: number (optional)
Location parameter. Default: `0.0`.
b: number (optional)
Scale parameter. Must be greater than `0`. Default: `1.0`.
Returns
-------
laplace: Object
Distribution instance.
laplace.mu: number
Location parameter.
laplace.b: number
Scale parameter. If set, the value must be greater than `0`.
laplace.entropy: number
Read-only property which returns the differential entropy.
laplace.kurtosis: number
Read-only property which returns the excess kurtosis.
laplace.mean: number
Read-only property which returns the expected value.
laplace.median: number
Read-only property which returns the median.
laplace.mode: number
Read-only property which returns the mode.
laplace.skewness: number
Read-only property which returns the skewness.
laplace.stdev: number
Read-only property which returns the standard deviation.
laplace.variance: number
Read-only property which returns the variance.
laplace.cdf: Function
Evaluates the cumulative distribution function (CDF).
laplace.logcdf: Function
Evaluates the natural logarithm of the cumulative distribution function
(CDF).
laplace.logpdf: Function
Evaluates the natural logarithm of the probability density function
(PDF).
laplace.mgf: Function
Evaluates the moment-generating function (MGF).
laplace.pdf: Function
Evaluates the probability density function (PDF).
laplace.quantile: Function
Evaluates the quantile function at probability `p`.
Examples
--------
> var laplace = {{alias}}( -2.0, 3.0 );
> laplace.mu
-2.0
> laplace.b
3.0
> laplace.entropy
~2.792
> laplace.kurtosis
3.0
> laplace.mean
-2.0
> laplace.median
-2.0
> laplace.mode
-2.0
> laplace.skewness
0.0
> laplace.stdev
~4.243
> laplace.variance
18.0
> laplace.cdf( 0.8 )
~0.803
> laplace.logcdf( 0.8 )
~-0.219
> laplace.logpdf( 1.0 )
~-2.792
> laplace.mgf( 0.2 )
~1.047
> laplace.pdf( 2.0 )
~0.044
> laplace.quantile( 0.9 )
~2.828
See Also
--------