shorth: Mean of the Shorthest Half

In moonboot: m-Out-of-n Bootstrap Functions

Mean of the Shorthest Half

Description

Calculates the mean of the data points in the shortest interval containing half of the data. The arguments of the function are such that it directly can be used as a statistic in the mboot() function.

Usage

shorth(data, indices = NULL)

Arguments

data	the data as a numeric vector.
indices	the selected indices of data, by default seq_along(data).

Value

The mean of the data points in the shortest interval containing half of the data.

References

Andrews D.F. et al. (1972) Robust Estimates of Location Princeton University Press, Princeton.

Examples

data <- rnorm(100)
shorth(data)
shorth(data, sample(1:100, size = 20))

# Calculating a CI for shorth using [mboot()]
data <- rnorm(100)
boot.out <- mboot(data, shorth, m = sqrt(length(data)))
basic.ci <- mboot.ci(boot.out, conf =0.95, tau = function(n) return(n^(1/3)), types = "basic")$basic

moonboot documentation built on April 4, 2025, 1:48 a.m.