Stable |
Specialized helper for the alpha < 1, gamma < 0, increasing case when alpha is close to one.
Inheritance HierarchySystemObject
Altaxo.Calc.ProbabilityStableDistributionBaseAlt1GnI
Altaxo.Calc.ProbabilityStableDistributionBaseAlt1GnIA1
Altaxo.Calc.ProbabilityStableDistributionBaseAlt1GnI
Altaxo.Calc.ProbabilityStableDistributionBaseAlt1GnIA1
Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
SyntaxC#
public class Alt1GnIA1 : StableDistributionBaseAlt1GnI
The StableDistributionBaseAlt1GnIA1 type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | StableDistributionBaseAlt1GnIA1 | Initializes a new instance of the StableDistributionBaseAlt1GnIA1 class. |
Properties| Name | Description | |
|---|---|---|
 | UpperIntegrationLimit |
Gets the upper integration limit.
(Inherited from StableDistributionBaseAlt1GnI) |
Methods| Name | Description | |
|---|---|---|
| CDFFunc |
Evaluates the transformed CDF integrand.
(Inherited from StableDistributionBaseAlt1GnI) |
| CDFFuncLogInt |
Evaluates the logarithmically transformed CDF integrand.
(Inherited from StableDistributionBaseAlt1GnI) |
| CDFIntegrate |
Integrates the transformed CDF for the current parameter set.
(Inherited from StableDistributionBaseAlt1GnI) |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| FindXOfPDFCoreY |
Finds the abscissa where the transformed PDF core reaches a given value.
(Inherited from StableDistributionBaseAlt1GnI) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| Initialize |
Reinitializes the cached delegates for the transformed PDF functions.
(Inherited from StableDistributionBaseAlt1GnI) |
| IsMaximumLeftHandSide |
Determines whether the maximum of the transformed PDF core lies on the left-hand side.
(Inherited from StableDistributionBaseAlt1GnI) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| PDFCore |
Evaluates the transformed PDF core.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFCoreDerivative |
Evaluates the derivative of the transformed PDF core.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFCoreMod | Evaluates the modified PDF core around the peak region. |
| PDFCoreSmallDev | Special calculation of the core function if dev==0. Especially accurate when alpha is very close to 1. |
| PDFCoreZeroDev | Special calculation of the core function if dev==0. Especially accurate when alpha is very close to 1. |
| PDFFunc |
Evaluates the transformed PDF integrand.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFFuncLogInt |
Evaluates the logarithmically transformed PDF integrand.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFFuncLogIntToLeft | Evaluates the logarithmically transformed PDF integrand to the left of the peak region. |
| PDFFuncLogIntToRight | Evaluates the logarithmically transformed PDF integrand to the right of the peak region. |
| PDFFuncLogIntZeroDev | Evaluates the logarithmically transformed PDF integrand for the zero-deviation special case. |
| PDFFuncZeroDev | Evaluates the transformed PDF integrand for the zero-deviation special case. |
| PDFIntegrate |
Integrates the transformed PDF for the current parameter set.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFIntegrateAlphaNearOne | Integrates the transformed PDF for the near-one alpha case. |
| PDFIntegrateZeroDev |
Integrates the transformed PDF for the special case dev == 0.
(Inherited from StableDistributionBaseAlt1GnI) |
| PDFIntegrateZeroDevAlphaNearOne | Integrates the transformed PDF for the zero-deviation near-one alpha case. |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Fields| Name | Description | |
|---|---|---|
 | _x0 | Reference point used by logarithmic integration transforms. (Inherited from StableDistributionBaseAlt1GnI) |
| alpha | The characteristic exponent. (Inherited from StableDistributionBaseAlt1GnI) |
| dev | The deviation angle used by the integration transform. (Inherited from StableDistributionBaseAlt1GnI) |
| facdiv | Core divisor used by the transformed density representation. (Inherited from StableDistributionBaseAlt1GnI) |
| factorp | Core prefactor used by the transformed density representation. (Inherited from StableDistributionBaseAlt1GnI) |
| logPdfPrefactor | The logarithm of the PDF prefactor. (Inherited from StableDistributionBaseAlt1GnI) |
| pdfCore | Cached delegate for the transformed PDF core. (Inherited from StableDistributionBaseAlt1GnI) |
| pdfFunc | Cached delegate for the transformed PDF integrand. (Inherited from StableDistributionBaseAlt1GnI) |
See Also