Kurtosis-skewness diagram — kurtosis

Draws the kurtosis-skewness diagnostic diagram on the original scale (skewness \(\gamma_3\) versus excess kurtosis \(\gamma_4\)), including the feasible-region boundary \(\gamma_4 = \gamma_3^2 - 2\), theoretical loci, bootstrap cloud, and 95% concentration ellipse.

Usage

kurtosis_diagram(
  data,
  data_name = "Dataset",
  B = NULL,
  seed = 42,
  level = 0.95,
  xlim = c(-1.5, 4),
  ylim = c(-3, 16)
)

Arguments

data: Numeric vector of positive observations.
data_name: Character; label used in the title.
B: Integer; bootstrap replicates (default chosen adaptively from n).
seed: Integer random seed.
level: Numeric; ellipse confidence level (default 0.95).
xlim, ylim: Numeric length-2 axis limits.

Value

A ggplot object.

Examples

data(reliability_datasets)
kurtosis_diagram(reliability_datasets$Yarn, "Yarn", B = 200)