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{{alias}}( [a, b, c] )
Returns a triangular distribution object.
Parameters
----------
a: number (optional)
Minimum support. Must be smaller than `b` and `c`. Default: `0.0`.
b: number (optional)
Maximum support. Must be greater than `a` and `c`. Default: `1.0`.
c: number (optional)
Mode. Must be greater than `a` and smaller than `b`. Default: `0.5`.
Returns
-------
triangular: Object
Distribution instance.
triangular.a: number
Minimum support. If set, the value must be smaller or equal to `b` and
`c`.
triangular.b: number
Maximum support. If set, the value must be greater than or equal to `a`
and `c`.
triangular.c: number
Mode. If set, the value must be greater than or equal to `a` and smaller
than or equal to `b`.
triangular.entropy: number
Read-only property which returns the differential entropy.
triangular.kurtosis: number
Read-only property which returns the excess kurtosis.
triangular.mean: number
Read-only property which returns the expected value.
triangular.median: number
Read-only property which returns the median.
triangular.mode: number
Read-only property which returns the mode.
triangular.skewness: number
Read-only property which returns the skewness.
triangular.stdev: number
Read-only property which returns the standard deviation.
triangular.variance: number
Read-only property which returns the variance.
triangular.cdf: Function
Evaluates the cumulative distribution function (CDF).
triangular.logcdf: Function
Evaluates the natural logarithm of the cumulative distribution function
(CDF).
triangular.logpdf: Function
Evaluates the natural logarithm of the probability density function
(PDF).
triangular.mgf: Function
Evaluates the moment-generating function (MGF).
triangular.pdf: Function
Evaluates the probability density function (PDF).
triangular.quantile: Function
Evaluates the quantile function at probability `p`.
Examples
--------
> var triangular = {{alias}}( 0.0, 1.0, 0.5 );
> triangular.a
0.0
> triangular.b
1.0
> triangular.c
0.5
> triangular.entropy
~-0.193
> triangular.kurtosis
-0.6
> triangular.mean
0.5
> triangular.median
0.5
> triangular.mode
0.5
> triangular.skewness
0.0
> triangular.stdev
~0.204
> triangular.variance
~0.042
> triangular.cdf( 0.8 )
0.92
> triangular.logcdf( 0.8 )
~-0.083
> triangular.logpdf( 0.8 )
~-0.223
> triangular.mgf( 0.8 )
~1.512
> triangular.pdf( 0.8 )
~0.8
> triangular.quantile( 0.8 )
~0.684
See Also
--------
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