@stdlib/stats
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Standard library statistical functions.
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{{alias}}( t, a, b )
Evaluates the moment-generating function (MGF) for a discrete uniform
distribution with minimum support `a` and maximum support `b` at a value
`t`.
If `a > b`, the function returns `NaN`.
If `a` or `b` is not an integer value, the function returns `NaN`.
Parameters
----------
t: number
Input value.
a: integer
Minimum support.
b: integer
Maximum support.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 2.0, 0, 4 )
~689.475
> y = {{alias}}( -0.2, 0, 4 )
~0.697
> y = {{alias}}( 2.0, 0, 1 )
~4.195
> y = {{alias}}( 0.5, 3, 2 )
NaN
> y = {{alias}}( NaN, 0, 1 )
NaN
> y = {{alias}}( 0.0, NaN, 1 )
NaN
> y = {{alias}}( 0.0, 0, NaN )
NaN
{{alias}}.factory( a, b )
Returns a function for evaluating the moment-generating function (MGF)
of a discrete uniform distribution with minimum support `a` and maximum
support `b`.
Parameters
----------
a: integer
Minimum support.
b: integer
Maximum support.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var mymgf = {{alias}}.factory( 6, 7 );
> var y = mymgf( 0.1 )
~1.918
> y = mymgf( 1.1 )
~1471.722
See Also
--------