# Co.LPM: Co-Lower Partial Moment (Lower Left Quadrant 4) In OVVO-Financial/NNS: Nonlinear Nonparametric Statistics

## Description

This function generates a co-lower partial moment for between two equal length variables for any degree or target.

## Usage

 ```1 2``` ```Co.LPM(degree.x, degree.y, x, y, target.x = mean(x), target.y = mean(y)) ```

## Arguments

 `degree.x` integer; Degree for variable X. `(degree.x = 0)` is frequency, `(degree.x = 1)` is area. `degree.y` integer; Degree for variable Y. `(degree.y = 0)` is frequency, `(degree.y = 1)` is area. `x` a numeric vector. `y` a numeric vector of equal length to `x`. `target.x` numeric; Typically the mean of Variable X for classical statistics equivalences, but does not have to be. (Vectorized) `target.y` numeric; Typically the mean of Variable Y for classical statistics equivalences, but does not have to be. (Vectorized)

## Value

Co-LPM of two variables

## Author(s)

Fred Viole, OVVO Financial Systems

## References

Viole, F. and Nawrocki, D. (2013) "Nonlinear Nonparametric Statistics: Using Partial Moments" https://www.amazon.com/dp/1490523995

## Examples

 ```1 2 3``` ```set.seed(123) x <- rnorm(100) ; y <- rnorm(100) Co.LPM(0, 0, x, y, mean(x), mean(y)) ```

OVVO-Financial/NNS documentation built on Feb. 14, 2020, 8:16 a.m.