HI {ehymet}

Hypograph Index (HI) for a functional dataset

Description

The Hypograph Index of a curve x is the proportion of curves in the sample that are below x.

Usage

HI(curves, ...)

Arguments

curves

matrix where each row represents a curve, and each column represents values along the curve or array with dimension n \times p \times q with n curves, p values along the curve, and q dimensions.

...

Ignored.

Value

numeric vector containing the HI for each curve.

Examples

x <- matrix(c(1, 2, 3, 3, 2, 1, 5, 2, 3, 9, 8, 7), ncol = 3, nrow = 4)
HI(x)

y <- array(c(1, 2, 3, 3, 2, 1, 5, 2, 3, 9, 8, 7, -1, -5, -6, 2, 3, 0, -1, 0, 2, -1, -2, 0),
  dim = c(3, 4, 2)
)
HI(y)