Modified Epigraph Index (MEI) for functional dataset.

The Modified Epigraph Index of a curve x is one minus the proportion of "time" the curves in the sample are above x.

Usage

MEI(curves, ...)

Arguments

curves

matrix where each row represents a curve, and each column represents values along the curve or an 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 MEI for each curve.

Examples

x <- matrix(c(1, 2, 3, 3, 2, 1, 5, 2, 3, 9, 8, 7), ncol = 3, nrow = 4)
MEI(x)
#> [1] 0.08333333 0.33333333 0.58333333 0.33333333
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)
)
MEI(y)
#> [1] 0.6666667 0.5000000 0.5000000