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PearsonIVArea Class

Fit function with one or more PearsonIV shaped peaks, with a baseline polynomial of variable order. This is the original version from Wikipedia, with area as the scaling parameter.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.FitFunctions.ProbabilityPearsonIVArea

Namespace: Altaxo.Calc.FitFunctions.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public class PearsonIVArea : IFitFunctionWithDerivative, 
	IFitFunction, IFitFunctionPeak, IImmutable, IEquatable<PearsonIVArea>

The PearsonIVArea type exposes the following members.

Constructors
 NameDescription
Public methodPearsonIVAreaInitializes a new instance of the PearsonIVArea class
Public methodPearsonIVArea(Int32, Int32)Initializes a new instance of the PearsonIVArea class
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Properties
 NameDescription
Public propertyNumberOfDependentVariables 
Public propertyNumberOfIndependentVariables 
Public propertyNumberOfParameters 
Public propertyNumberOfTerms Gets/sets the number of peak terms.
Public propertyOrderOfBaselinePolynomial Gets/sets the order of the baseline polynomial.
Public propertyParameterNamesForOnePeak Gets the parameter names for one peak.
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Methods
 NameDescription
Public methodStatic memberCreate_1_M1 
Public methodDefaultParameterValue 
Public methodDefaultVarianceScaling 
Public methodDependentVariableName 
Public methodEvaluate(Double, Double, Double) 
Public methodEvaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) 
Public methodEvaluateDerivative 
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodStatic memberGetFWHM Gets the full width half maximum (FWHM)
Public methodStatic memberGetFWHMApproximation Gets an approximate value (19% error) for the full width half maximum
Public methodStatic memberGetHeight Gets the maximum function value.
Public methodStatic memberGetHWHM Gets the half width half maximum of a given side of the peak.
Public methodGetInitialParametersFromHeightPositionAndWidthAtRelativeHeight Gets the initial parameters for one term (peak) by providing the height of the peak, the position of the peak, the width of the peak, and the relative height at which the width was measured.
Public methodGetParameterBoundariesForPositivePeaks Gets the parameter boundaries in order to have positive peaks only.
Public methodGetParameterBoundariesHardLimit Gets the parameter boundaries that are really a hard limit, i.e. outside those limits, the function would probably evaluate NaN values, or makes no sense.
Public methodGetParameterBoundariesSoftLimit Gets the intended parameter boundaries. This are soft limits, boundaries so that the intended purpose of the fit function is fullfilled. Example: in the exponential decay Exp(-a*t) a is intended to be positive. This is a soft limit, and not a hard limit, because a could be also negative, and the fit nevertheless would succeed.
Public methodGetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble) Gets the position, the area under the peak, the height, and the Full Width Half Maximum (FWHM) from the parameters of a single peak.
Public methodGetPositionAreaHeightFWHMFromSinglePeakParameters(IReadOnlyListDouble, IROMatrixDouble) 
Public methodStatic memberGetPositionOfMaximum Gets the position of the maximum function value.
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodStatic memberGetYOfOneTerm Gets the function value for one PearsonIVArea term.
Public methodIndependentVariableName 
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodParameterName 
Public methodToStringReturns a string that represents the current object.
(Overrides ObjectToString)
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Events
 NameDescription
Public eventChanged Not functional because instance is immutable.
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Remarks
See Also