% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/Partial_Moments.R
\name{Co.LPM}
\alias{Co.LPM}
\title{Co‑Lower Partial Moment}
\usage{
Co.LPM(degree_lpm, x, y, target_x, target_y, degree_y = NULL)
}
\arguments{
\item{degree_lpm}{numeric; degree for x ("degree_x"). degree = 0 gives frequency, degree = 1 gives area.}

\item{x}{numeric vector of observations.}

\item{y}{numeric vector of the same length as x.}

\item{target_x}{numeric vector; thresholds for x (defaults to mean(x)).}

\item{target_y}{numeric vector; thresholds for y (defaults to mean(y)).}

\item{degree_y}{numeric; optional degree for y. If omitted, `degree_lpm` is
used for both x and y.}
}
\value{
Numeric vector of co‑LPM values.
}
\description{
Computes the co‑lower partial moment (lower‑left quadrant 4) between two
  equal‑length numeric vectors at any degree and target.
}
\examples{
  set.seed(123)
  x <- rnorm(100); y <- rnorm(100)
  Co.LPM(0, x, y, mean(x), mean(y))
}
\references{
Viole, F. & Nawrocki, D. (2013) *Nonlinear Nonparametric Statistics: Using Partial Moments* (ISBN:1490523995)
}
\author{
Fred Viole, OVVO Financial Systems
}
