Log-cumulant diagram — log_cumulant

Draws the log-cumulant diagnostic diagram (\(\kappa_3\) versus \(\kappa_2\)) with the theoretical loci of the six reference distributions, a bootstrap cloud of the sample estimate, and a 95% concentration ellipse.

Usage

log_cumulant_diagram(
  data,
  data_name = "Dataset",
  B = NULL,
  seed = 42,
  level = 0.95,
  xlim = c(-2, 2),
  ylim = c(0, 2)
)

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)
log_cumulant_diagram(reliability_datasets$Yarn, "Yarn", B = 200)