Generalized Inverse Gaussian Quantile-Quantile and Percent-Percent Plots
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.
qqgig(y, chi = 1, psi = 1, lambda = 1,
param = c(chi, psi, lambda),
main = "GIG Q-Q Plot",
xlab = "Theoretical Quantiles",
ylab = "Sample Quantiles",
plot.it = TRUE, line = TRUE, ...)
ppgig(y, chi = 1, psi = 1, lambda = 1,
param = c(chi, psi, lambda),
main = "GIG P-P Plot",
xlab = "Uniform Quantiles",
ylab = "Probability-integral-transformed Data",
plot.it = TRUE, line = TRUE, ...)y |
The data sample. |
chi |
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 |
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. |
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. |
Wilk, M. B. and Gnanadesikan, R. (1968) Probability plotting methods for the analysis of data. Biometrika. 55, 1–17.
par(mfrow = c(1, 2)) y <- rgig(1000, param = c(2, 3, 1)) qqgig(y, param = c(2, 3, 1), line = FALSE) abline(0, 1, col = 2) ppgig(y, param = c(2, 3, 1))
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