NormalCdfCurve Class

public class NormalCdfCurve : NonlinearCurve

Public Class NormalCdfCurve
	Inherits NonlinearCurve

public ref class NormalCdfCurve : public NonlinearCurve

type NormalCdfCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  NormalCdfCurve

Use the NormalCdfCurve class to represent a four-parameter error function curve that models smooth transitions between two levels, characteristic of diffusion processes and cumulative distributions with Gaussian-like transitions.

The error function (erf) is the cumulative distribution function of the standard normal distribution (up to scaling). This curve is particularly useful for modeling processes where a quantity transitions from one level to another in a smooth, S-shaped manner that is symmetric about the transition point.

The equation is:

Parameters:

• A – Amplitude (half the total change from minimum to maximum). See Amplitude.
• μ – Center or inflection point (location of the transition). See Center.
• σ – Width parameter (controls the steepness of the transition). See Width.
• C – Baseline offset (vertical shift). See [!:Baseline].

Applications:

• Diffusion processes
• Step-like transitions with noise
• Cumulative Gaussian distributions
• Signal transitions in electronics
• Optical edge detection
• Phase transitions in materials

For details on how to fit a curve of this type, see the NonlinearCurveFitter class.

Reference