# lcomoms2: The Sample L-comoments for Two Variables In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

 lcomoms2 R Documentation

## The Sample L-comoments for Two Variables

### Description

Compute the sample L-moments for the R two variable `data.frame`. The “2” in the function name is to refer to fact that this function operates on only two variables. The length of the variables must be greater than the number of L-comoments requested.

### Usage

```lcomoms2(DATAFRAME, nmom=3, asdiag=FALSE, opdiag=FALSE, ...)
```

### Arguments

 `DATAFRAME` An R `data.frame` housing column vectors of data values. `nmom` The number of L-comoments to compute. Default is 3. `asdiag` Return the `diag`onal of the matrices. Default is `FALSE`. `opdiag` Return the opposing diagonal of the matrices. Default is `FALSE`. This function returns the opposing diagonal from first two to second. `...` Additional arguments to pass.

### Value

An R `list` is returned of the first

 `L1` Matrix or diagonals of first L-comoment. `L2` Matrix or diagonals of second L-comoment. `T2` Matrix or diagonals of L-comoment correlation. `T3` Matrix or diagonals of L-comoment skew. `T4` Matrix or diagonals of L-comoment kurtosis. `T5` Matrix or diagonals of L-comoment Tau5. `source` An attribute identifying the computational source of the L-comoments: “lcomoms2”.

### Note

This function computes the L-comoments through the generalization of the `Lcomoment.matrix` and `Lcomoment.coefficients` functions.

W.H. Asquith

### References

Asquith, W.H., 2011, Distributional analysis with L-moment statistics using the R environment for statistical computing: Createspace Independent Publishing Platform, ISBN 978–146350841–8.

`Lcomoment.matrix` and `Lcomoment.coefficients`

### Examples

```## Not run:
# Random simulation of standard normal and then combine with
# a random standard exponential distribution
X <- rnorm(200); Y <- X + rexp(200)
z <- lcomoms2(data.frame(X=X, Y=Y))
print(z)

z <- lcomoms2(data.frame(X=X, Y=Y), diag=TRUE)
print(z\$T3) # the L-skew values of the margins

z <- lcomoms2(data.frame(X=X, Y=Y), opdiag=TRUE)
print(z\$T3) # the L-coskew values
## End(Not run)
```

lmomco documentation built on Aug. 27, 2022, 1:06 a.m.