Co.LPM: Co‑Lower Partial Moment

In NNS: Nonlinear Nonparametric Statistics

Co‑Lower Partial Moment

Description

Computes the co‑lower partial moment (lower‑left quadrant 4) between two equal‑length numeric vectors at any degree and target.

Usage

Co.LPM(degree_lpm, x, y, target_x, target_y)

Arguments

degree_lpm	numeric; degree = 0 gives frequency, degree = 1 gives area.
x	numeric vector of observations.
y	numeric vector of the same length as x.
target_x	numeric vector; thresholds for x (defaults to mean(x)).
target_y	numeric vector; thresholds for y (defaults to mean(y)).

Value

Numeric vector of co‑LPM values.

Author(s)

Fred Viole, OVVO Financial Systems

References

Viole, F. & Nawrocki, D. (2013) *Nonlinear Nonparametric Statistics: Using Partial Moments* (ISBN:1490523995)

Examples

  set.seed(123)
  x <- rnorm(100); y <- rnorm(100)
  Co.LPM(0, x, y, mean(x), mean(y))

NNS documentation built on Nov. 5, 2025, 7:27 p.m.