@stdlib/stats
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Standard library statistical functions.
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{{alias}}( t, a, b, c )
Evaluates the moment-generating function (MGF) for a triangular distribution
with minimum support `a`, maximum support `b`, and mode `c` at a value `t`.
If the condition `a <= c <= b` is not satisfied, the function returns `NaN`.
If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`.
Parameters
----------
t: number
Input value.
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.5, -1.0, 1.0, 0.0 )
~1.021
> y = {{alias}}( 0.5, -1.0, 1.0, 0.5 )
~1.111
> y = {{alias}}( -0.3, -20.0, 0.0, -2.0 )
~24.334
> y = {{alias}}( -2.0, -1.0, 1.0, 0.0 )
~1.381
> y = {{alias}}( NaN, 0.0, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 0.5, 1.0, 0.0, NaN )
NaN
> y = {{alias}}( 0.5, 1.0, 0.0, 1.5 )
NaN
{{alias}}.factory( a, b, c )
Returns a function for evaluating the moment-generating function (MGF) of a
triangular distribution with minimum support `a`, maximum support `b`, and
mode `c`.
Parameters
----------
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var mymgf = {{alias}}.factory( 0.0, 2.0, 1.0 );
> var y = mymgf( -1.0 )
~0.3996
> y = mymgf( 2.0 )
~10.205
See Also
--------