qqhyperb function

Hyperbolic Quantile-Quantile and Percent-Percent Plots

qqhyperb produces a hyperbolic Q-Q plot of the values in y.

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

Graphical parameters may be given as arguments to qqhyperb, and pphyperb.

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

pphyperb(y, Theta, main = "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 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.

Returns

For qqhyperb and pphyperb, 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.

See Also

ppoints, dhyperb, hyperbFit

Examples

par(mfrow = c(1,2))
y <- rhyperb(200, c(2,2,2,2))
qqhyperb(y, c(2,2,2,2),line = FALSE)
abline(0, 1, col = 2)
pphyperb(y, c(2,2,2,2))