d_wc: Confidence density based on n=1 confidence interval

In nisone: Inference for Samples of Size at Least One

Confidence density based on n=1 confidence interval

Description

Let X \sim N(\mu, \sigma^2). Consider intervals of the form X \pm \eta |X| or X / 2 \pm \eta |X|. These intervals define a confidence distribution of \mu. This is the density of the confidence distribution of (\mu - X)/|X| or (\mu - X/2)/|X|. Please note that \mu is random here not X. Also note that this confidence distribution does not exist between the 25th and 75th percentiles.

Usage

d_wc(x, center = c("X", "ave"))

Arguments

x	The value at which to calculate the density. Only defined for abs(x) >= 1 when center = "X", and for abs(x) >= 0.5 when center = "ave".
center	What is the center of the interval? Either "X" or "X/2" ("ave").

Value

n=1 confidence density.

Author(s)

David Gerard

See Also

p_wc()

Examples

xseq <- seq(-10, 10, length.out = 500)
dseq <- d_wc(xseq)
plot(xseq, dseq, type = "l")

dseq <- d_wc(xseq, center = "ave")
plot(xseq, dseq, type = "l")

nisone documentation built on Sept. 8, 2026, 5:08 p.m.