30.1.108 LognormalCDF

Function

$y=y_0+A\int_{0}^{x}\frac{1}{\sqrt{2\pi}wt}e^{-\frac{(ln(t)-x_c)^2}{2w^2}}dt$

LognormalCDF cumulative distribution function

Number: 4

Names: y0, A1, xc, w

Meanings: y0 = offset, A1 = Amplitude, xc = log Mean, w = Standard Deviation

Lower Bounds: A > 0.0, w > 0

Upper Bounds: none

Mean: mu=exp(xc+1/2*w^2)

Standard Deviation: sigma=exp(xc+1/2*w^2)*sqrt(exp(w^2)-1)

logncdf(x,mu,sigma)

FITFUNC\LognormalCDF.fdf