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GeneralizedHyperbolic (version 0.8-6)

The Generalized Hyperbolic Distribution

Description

Functions for the hyperbolic and related distributions. Density, distribution and quantile functions and random number generation are provided for the hyperbolic distribution, the generalized hyperbolic distribution, the generalized inverse Gaussian distribution and the skew-Laplace distribution. Additional functionality is provided for the hyperbolic distribution, normal inverse Gaussian distribution and generalized inverse Gaussian distribution, including fitting of these distributions to data. Linear models with hyperbolic errors may be fitted using hyperblmFit.

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Version

Install

install.packages('GeneralizedHyperbolic')

Monthly Downloads

7,648

Version

0.8-6

License

GPL (>= 2)

Maintainer

Last Published

November 26th, 2023

Functions in GeneralizedHyperbolic (0.8-6)

Specific Generalized Hyperbolic Moments and Mode

Moments and Mode of the Generalized Hyperbolic Distribution
ghypChangePars

Change Parameterizations of the Generalized Hyperbolic Distribution
gigCalcRange

Range of a Generalized Inverse Gaussian Distribution
ghypScale

Rescale a generalized hyperbolic distribution
ghypParam

Parameter Sets for the Generalized Hyperbolic Distribution
gigCheckPars

Check Parameters of the Generalized Inverse Gaussian Distribution
gigChangePars

Change Parameterizations of the Generalized Inverse Gaussian Distribution
ghypCalcRange

Range of a Generalized Hyperbolic Distribution
ghypCheckPars

Check Parameters of the Generalized Hyperbolic Distribution
ghypMom

Calculate Moments of the Generalized Hyperbolic Distribution
hyperbChangePars

Change Parameterizations of the Hyperbolic Distribution
gigFit

Fit the Generalized Inverse Gausssian Distribution to Data
hyperbCvMTest

Cramer-von~Mises Test of a Hyperbolic Distribution
gigParam

Parameter Sets for the Generalized Inverse Gaussian Distribution
gigHessian

Calculate Two-Sided Hessian for the Generalized Inverse Gaussian Distribution
Specific Generalized Inverse Gaussian Moments and Mode

Moments and Mode of the Generalized Inverse Gaussian Distribution
hyperbCalcRange

Range of a Hyperbolic Distribution
hyperbFit

Fit the Hyperbolic Distribution to Data
gigFitStart

Find Starting Values for Fitting a Generalized Inverse Gaussian Distribution
gigMom

Calculate Moments of the Generalized Inverse Gaussian Distribution
mamquam

Size of Gravels from Mamquam River
hyperblm

Fitting Linear Models with Hyperbolic Errors
hyperbParam

Parameter Sets for the Hyperbolic Distribution
momRecursion

Computes the moment coefficients recursively for generalized hyperbolic and related distributions
Specific Hyperbolic Distribution Moments and Mode

Moments and Mode of the Hyperbolic Distribution
hyperbWSqTable

Percentage Points for the Cram'er-von Mises Test of the Hyperbolic Distribution
hyperbFitStart

Find Starting Values for Fitting a Hyperbolic Distribution
hyperbHessian

Calculate Two-Sided Hessian for the Hyperbolic Distribution
nigCalcRange

Range of a normal inverse Gaussian Distribution
nervePulse

Intervals Between Pulses Along a Nerve Fibre
nigHessian

Calculate Two-Sided Hessian for the Normal Inverse Gaussian Distribution
nigParam

Parameter Sets for the Normal Inverse Gaussian Distribution
nigFit

Fit the normal inverse Gaussian Distribution to Data
GeneralizedHyperbolicPlots

Generalized Hyperbolic Quantile-Quantile and Percent-Percent Plots
HyperbPlots

Hyperbolic Quantile-Quantile and Percent-Percent Plots
GIGPlots

Generalized Inverse Gaussian Quantile-Quantile and Percent-Percent Plots
nigPlots

Normal inverse Gaussian Quantile-Quantile and Percent-Percent Plots
traffic

Intervals Between Vehicles on a Road
plotShapeTriangle

Plot the Shape Triangle
Specific Normal Inverse Gaussian Distribution Moments and Mode

Moments and Mode of the Normal Inverse Gaussian Distribution
summary.hyperbFit

Summarizing Hyperbolic Distribution Fit
summary.gigFit

Summarizing Normal Inverse Gaussian Distribution Fit
SkewLaplacePlots

Skew-Laplace Quantile-Quantile and Percent-Percent Plots
summary.hyperblm

Summary Output of Hyperbolic Regression
nigFitStart

Find Starting Values for Fitting a normal inverse Gaussian Distribution
summary.nigFit

Summarizing Normal Inverse Gaussian Distribution Fit
resistors

Resistance of One-half-ohm Resistors
GeneralizedHyperbolic

The Package `GeneralizedHyperbolic': Summary Information
SkewLaplace

Skew-Laplace Distribution
ArkansasRiver

Soil Electrical Conductivity
GeneralizedHyperbolic-internal

Internal Generalized Hyperbolic Functions
GeneralizedHyperbolicDistribution

Generalized Hyperbolic Distribution
Generalized Inverse Gaussian

Generalized Inverse Gaussian Distribution
Functions for Moments

Functions for Calculating Moments
SandP500

S&P 500
Hyperbolic

Hyperbolic Distribution
NIG

Normal Inverse Gaussian Distribution