WeibullCdfCurve Class

public class WeibullCdfCurve : NonlinearCurve

Public Class WeibullCdfCurve
	Inherits NonlinearCurve

public ref class WeibullCdfCurve : public NonlinearCurve

type WeibullCdfCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  WeibullCdfCurve

Use the WeibullCdfCurve class to represent a four-parameter Weibull cumulative distribution function commonly used in reliability engineering, survival analysis, and materials science.

The Weibull distribution is widely used to model time-to-failure data. The cumulative distribution function describes the probability of failure before a given time. The shape parameter k determines the failure rate behavior: k < 1 indicates decreasing failure rate, k = 1 indicates constant failure rate (exponential distribution), and k > 1 indicates increasing failure rate.

The equation is:

Parameters:

• A – Amplitude (total change from baseline to asymptote). See Amplitude.
• λ – Scale parameter (characteristic life or 63.2nd percentile). See Scale.
• k – Shape parameter (determines failure rate behavior). See Shape.
• C – Baseline offset. See Offset.

Applications:

• Reliability engineering and failure analysis
• Survival analysis in medicine
• Materials science (fatigue life, strength distributions)
• Quality control and warranty analysis
• Wind speed distributions in meteorology
• Particle size distributions

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

Reference