28.1.108 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

Brief Description

LognormalCDF cumulative distribution function

Sample Curve

LognormalCDF.png

Parameters

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

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

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

Script Access

logncdf(x,mu,sigma)

Function File

FITFUNC\LognormalCDF.fdf

Category

Statistics