LogNormalCurve Class

public class LogNormalCurve : NonlinearCurve

Public Class LogNormalCurve
	Inherits NonlinearCurve

public ref class LogNormalCurve : public NonlinearCurve

type LogNormalCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  LogNormalCurve

Use the LogNormalCurve class to represent a four-parameter log-normal probability density function commonly used to model skewed distributions in various fields.

The log-normal distribution describes a random variable whose logarithm is normally distributed. It is characterized by its right-skewed shape and is bounded on the left (x > 0). This distribution naturally arises when modeling multiplicative processes or quantities that result from many small multiplicative factors.

The equation is:

Parameters:

• A – Amplitude or scaling factor (total area under the curve minus baseline). See Amplitude.
• μ – Location parameter (mean of the logarithm). See Median.
• σ – Scale parameter (standard deviation of the logarithm). See Scale.
• C – Baseline offset. See Offset.

Applications:

• Particle size distributions
• Income and wealth distributions
• Stock prices and financial returns
• Environmental data (pollutant concentrations)
• Biological measurements (cell sizes, organism weights)
• Reliability and failure time data

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

Reference