@stdlib/stats
Version:
Standard library statistical functions.
75 lines (58 loc) • 1.49 kB
Plain Text
{{alias}}( t, μ, s )
Evaluates the moment-generating function (MGF) for a logistic distribution
with location parameter `μ` and scale parameter `s` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided `s < 0`, the function returns `NaN`.
Parameters
----------
t: number
Input value.
μ: number
Location parameter.
s: number
Scale parameter.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 0.9, 0.0, 1.0 )
~9.15
> y = {{alias}}( 0.1, 4.0, 4.0 )
~1.971
> y = {{alias}}( -0.2, 4.0, 4.0 )
~1.921
> y = {{alias}}( 0.5, 0.0, -1.0 )
NaN
> y = {{alias}}( 0.5, 0.0, 4.0 )
Infinity
> y = {{alias}}( NaN, 0.0, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN )
NaN
{{alias}}.factory( μ, s )
Returns a function for evaluating the moment-generating function (MGF)
of a Logistic distribution with location parameter `μ` and scale parameter
`s`.
Parameters
----------
μ: number
Location parameter.
s: number
Scale parameter.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var mymgf = {{alias}}.factory( 10.0, 0.5 );
> var y = mymgf( 0.5 )
~164.846
> y = mymgf( 2.0 )
Infinity
See Also
--------