@stdlib/stats
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Standard library statistical functions.
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{{alias}}( t, n, p )
Evaluates the moment-generating function (MGF) for a binomial distribution
with number of trials `n` and success probability `p` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a number of trials `n` which is not a nonnegative integer, the
function returns `NaN`.
If `p < 0` or `p > 1`, the function returns `NaN`.
Parameters
----------
t: number
Input value.
n: integer
Number of trials.
p: number
Success probability.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.5, 20, 0.2 )
~11.471
> y = {{alias}}( 5.0, 20, 0.2 )
~4.798e+29
> y = {{alias}}( 0.9, 10, 0.4 )
~99.338
> y = {{alias}}( 0.0, 10, 0.4 )
1.0
> y = {{alias}}( NaN, 20, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 0.0, 20, NaN )
NaN
> y = {{alias}}( 2.0, 1.5, 0.5 )
NaN
> y = {{alias}}( 2.0, -2.0, 0.5 )
NaN
> y = {{alias}}( 2.0, 20, -1.0 )
NaN
> y = {{alias}}( 2.0, 20, 1.5 )
NaN
{{alias}}.factory( n, p )
Returns a function for evaluating the moment-generating function (MGF) of a
binomial distribution with number of trials `n` and success probability `p`.
Parameters
----------
n: integer
Number of trials.
p: number
Success probability.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 10, 0.5 );
> var y = myMGF( 0.3 )
~5.013
See Also
--------