R: Range of a Generalized Inverse Gaussian Distribution
gigCalcRange
R Documentation
Range of a Generalized Inverse Gaussian Distribution
Description
Given the parameter vector param of a generalized inverse Gaussian
distribution, this function determines the range outside of which the density
function is negligible, to a specified tolerance. The parameterization
used is the (chi, psi) one (see
dgig). To use another parameterization, use
gigChangePars.
A shape parameter that by default holds a value of 1.
psi
Another shape parameter that is set to 1 by default.
lambda
Shape parameter of the GIG distribution. Common to all forms of
parameterization. By default this is set to 1.
param
Value of parameter vector specifying the generalized
inverse Gaussian distribution.
tol
Tolerance.
density
Logical. If TRUE, the bounds are for the density
function. If FALSE, they should be for the probability
distribution, but this has not yet been implemented.
...
Extra arguments for calls to uniroot.
Details
The particular generalized inverse Gaussian distribution being
considered is specified by the value of the parameter value
param.
If density = TRUE, the function gives a range, outside of which
the density is less than the given tolerance. Useful for plotting the
density. Also used in determining break points for the separate
sections over which numerical integration is used to determine the
distribution function. The points are found by using
uniroot on the density function.
If density = FALSE, the function returns the message:
"Distribution function bounds not yet implemented".
Value
A two-component vector giving the lower and upper ends of the range.
J<c3><b6>rgensen, B. (1982).
Statistical Properties of the Generalized Inverse Gaussian
Distribution.
Lecture Notes in Statistics, Vol. 9, Springer-Verlag, New York.
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
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> library(GeneralizedHyperbolic)
Loading required package: DistributionUtils
Loading required package: RUnit
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/GeneralizedHyperbolic/gigCalcRange.Rd_%03d_medium.png", width=480, height=480)
> ### Name: gigCalcRange
> ### Title: Range of a Generalized Inverse Gaussian Distribution
> ### Aliases: gigCalcRange
> ### Keywords: distribution
>
> ### ** Examples
>
> param <- c(2.5, 0.5, 5)
> maxDens <- dgig(gigMode(param = param), param = param)
> gigRange <- gigCalcRange(param = param, tol = 10^(-3) * maxDens)
> gigRange
[1] 1.400674 66.709821
> curve(dgig(x, param = param), gigRange[1], gigRange[2])
> ## Not run: gigCalcRange(param = param, tol = 10^(-3), density = FALSE)
>
>
>
>
>
> dev.off()
null device
1
>