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{{alias}}( x, r, p )
Evaluates the moment-generating function (MGF) for a negative binomial
distribution with number of successes until experiment is stopped `r` and
success probability `p` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a `r` which is not a positive number, the function returns
`NaN`.
If provided a success probability `p` outside of `[0,1]`, the function
returns `NaN`.
Parameters
----------
x: number
Input value.
r: number
Number of successes until experiment is stopped.
p: number
Success probability.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.05, 20.0, 0.8 )
~267.839
> y = {{alias}}( 0.1, 20.0, 0.1 )
~9.347
> y = {{alias}}( 0.5, 10.0, 0.4 )
~42822.023
> y = {{alias}}( 0.1, 0.0, 0.5 )
NaN
> y = {{alias}}( 0.1, -2.0, 0.5 )
NaN
> y = {{alias}}( NaN, 20.0, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 0.0, 20.0, NaN )
NaN
> y = {{alias}}( 0.2, 20, -1.0 )
NaN
> y = {{alias}}( 0.2, 20, 1.5 )
NaN
{{alias}}.factory( r, p )
Returns a function for evaluating the moment-generating function (MGF) of a
negative binomial distribution with number of successes until experiment is
stopped `r` and success probability `p`.
Parameters
----------
r: number
Number of successes until experiment is stopped.
p: number
Success probability.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 4.3, 0.4 );
> var y = myMGF( 0.2 )
~4.696
> y = myMGF( 0.4 )
~30.83
See Also
--------
|
