
{{alias}}( t, μ, β )
    Evaluates the moment-generating function (MGF) for a Gumbel distribution
    with location parameter `μ` and scale parameter `β` at a value `t`.

    If provided `NaN` as any argument, the function returns `NaN`.

    If provided `β <= 0`, the function returns `NaN`.

    Parameters
    ----------
    t: number
        Input value.

    μ: number
        Location parameter.

    β: number
        Scale parameter.

    Returns
    -------
    out: number
        Evaluated MGF.

    Examples
    --------
    > var y = {{alias}}( -1.0, 0.0, 3.0 )
    6.0
    > y = {{alias}}( 0.0, 0.0, 1.0 )
    1.0
    > y = {{alias}}( 0.1, 0.0, 3.0 )
    ~1.298

    > y = {{alias}}( NaN, 0.0, 1.0 )
    NaN
    > y = {{alias}}( 0.0, NaN, 1.0 )
    NaN
    > y = {{alias}}( 0.0, 0.0, NaN )
    NaN

    // Case: `t >= 1/beta`
    > y = {{alias}}( 0.8, 0.0, 2.0 )
    NaN

    // Non-positive scale parameter:
    > y = {{alias}}( 0.0, 0.0, -1.0 )
    NaN


{{alias}}.factory( μ, β )
    Returns a function for evaluating the moment-generating function (MGF) of a
    Gumbel distribution with location parameter `μ` and scale parameter `β`.

    Parameters
    ----------
    μ: number
        Location parameter.

    β: number
        Scale parameter.

    Returns
    -------
    mgf: Function
        Moment-generating function (MGF).

    Examples
    --------
    > var myMGF = {{alias}}.factory( 0.0, 3.0 );
    > var y = myMGF( -1.5 )
    ~52.343
    > y = myMGF( -1.0 )
    6.0

    See Also
    --------

