30.1.69 GammaCDF


Function

y=y_0+\frac{A_1}{b^a\Gamma (a)}\int_{0}^{x}t^{a-1}e^{-\frac{t}{b}}dt\; \; \; x>0

Brief Description

Gamma cumulative distribution function

Sample Curve

GammaCDF.png

Parameters

Number: 4

Names: y0, A1, a, b

Meanings: y0 = offset, A1 = Amplitude, a = Shape, b = Scale

Lower Bounds: A1 > 0.0, a > 0.0, b> 0.0

Upper Bounds: none

Derived Parameters

Mean: mu=a*b

Standard Deviation: sigma=sqrt(a)*b

Script Access

gamcdf( x, a, b)

Function File

FITFUNC\GammaCDF.fdf

Category

Statistics