# qqghyp: Generalized Hyperbolic Quantile-Quantile and Percent-Percent... In HyperbolicDist: The Hyperbolic Distribution

 GeneralizedHyperbolicPlots R Documentation

## Generalized Hyperbolic Quantile-Quantile and Percent-Percent Plots

### Description

`qqghyp` produces a generalized hyperbolic Q-Q plot of the values in `y`.

`ppghyp` produces a generalized hyperbolic P-P (percent-percent) or probability plot of the values in `y`.

Graphical parameters may be given as arguments to `qqghyp`, and `ppghyp`.

### Usage

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

ppghyp(y, Theta, main = "Generalized Hyperbolic 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 hyperbolic distribution. `xlab, ylab, main` Plot labels. `plot.it` Logical. Should the result be plotted? `line` Add line through origin with unit slope. `...` Further graphical parameters.

### Value

For `qqghyp` and `ppghyp`, a list with components:

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

### References

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

`ppoints`, `dghyp`.

### Examples

``````par(mfrow = c(1,2))
y <- rghyp(200, c(2,2,1,2,2))
qqghyp(y, c(2,2,1,2,2),line = FALSE)
abline(0, 1, col = 2)
ppghyp(y, c(2,2,1,2,2))
``````

HyperbolicDist documentation built on Nov. 26, 2023, 9:07 a.m.