# tlmrexp: Compute Select TL-moment ratios of the Exponential... In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

## Description

This function computes select TL-moment ratios of the Exponential distribution for defaults of ξ = 0 and α = 1. This function can be useful for plotting the trajectory of the distribution on TL-moment ratio diagrams of τ^{(t_1,t_2)}_2, τ^{(t_1,t_2)}_3, τ^{(t_1,t_2)}_4, τ^{(t_1,t_2)}_5, and τ^{(t_1,t_2)}_6. In reality, τ^{(t_1,t_2)}_2 is dependent on the values for ξ and α.

## Usage

 `1` ```tlmrexp(trim=NULL, leftrim=NULL, rightrim=NULL, xi=0, alpha=1) ```

## Arguments

 `trim` Level of symmetrical trimming to use in the computations. Although `NULL` in the argument list, the default is 0—the usual L-moment ratios are returned. `leftrim` Level of trimming of the left-tail of the sample. `rightrim` Level of trimming of the right-tail of the sample. `xi` Location parameter of the distribution. `alpha` Scale parameter of the distribution.

## Value

An R `list` is returned.

 `tau2` A vector of the τ^{(t_1,t_2)}_2 values. `tau3` A vector of the τ^{(t_1,t_2)}_3 values. `tau4` A vector of the τ^{(t_1,t_2)}_4 values. `tau5` A vector of the τ^{(t_1,t_2)}_5 values. `tau6` A vector of the τ^{(t_1,t_2)}_6 values.

## Note

The function uses numerical integration of the quantile function of the distribution through the `theoTLmoms` function.

## Author(s)

W.H. Asquith

`quaexp`, `theoTLmoms`
 ```1 2 3 4 5``` ```## Not run: tlmrexp(trim=2) tlmrexp(trim=2, xi=2) # another slow example ## End(Not run) ```