LognormalCDF

 

Contents

Function[edit]

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

Brief Description[edit]

LognormalCDF cumulative distribution function

Sample Curve[edit]

LognormalCDF.png

Parameters[edit]

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

Derived Parameters[edit]

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

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

Script Access[edit]

logncdf(x,mu,sigma)

Function File[edit]

FITFUNC\LognormalCDF.fdf

Category[edit]

Statistics