# qqgig: Generalized Inverse Gaussian Quantile-Quantile and... In HyperbolicDist: The Hyperbolic Distribution

 GIGPlots R Documentation

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

### Description

`qqgig` produces a generalized inverse Gaussian QQ plot of the values in `y`.

`ppgig` produces a generalized inverse Gaussian PP (percent-percent) or probability plot of the values in `y`.

If `line = TRUE`, a line with zero intercept and unit slope is added to the plot.

Graphical parameters may be given as arguments to `qqgig`, and `ppgig`.

### Usage

```qqgig(y, Theta, main = "GIG Q-Q Plot",
xlab = "Theoretical Quantiles",
ylab = "Sample Quantiles",
plot.it = TRUE, line = TRUE, ...)

ppgig(y, Theta, main = "GIG P-P Plot",
xlab = "Uniform Quantiles",
ylab = "Probability-integral-transformed Data",
plot.it = TRUE, line = TRUE, ...)
```

### Arguments

 `y` The data sample. `Theta` Parameters of the generalized inverse Gaussian distribution. `xlab, ylab, main` Plot labels. `plot.it` Logical. TRUE denotes the results should be plotted. `line` Logical. If TRUE, a line with zero intercept and unit slope is added to the plot. `...` Further graphical parameters.

### Value

For `qqgig` and `ppgig`, a list with components:

 `x` The x coordinates of the points that are be plotted. `y` The y coordinates of the points that are be plotted.

### References

Wilk, M. B. and Gnanadesikan, R. (1968) Probability plotting methods for the analysis of data. Biometrika. 55, 1–17.

`ppoints`, `dgig`.

### Examples

```par(mfrow=c(1,2))
y <- rgig(1000,c(1,2,3))
qqgig(y,c(1,2,3),line=FALSE)
abline(0,1,col=2)
ppgig(y,c(1,2,3))
```

HyperbolicDist documentation built on March 18, 2022, 6:23 p.m.