lmomco (version 2.4.14)

tlmrcau: Compute Select TL-moment ratios of the Cauchy Distribution

Description

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

Usage

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

Value

An R

list is returned.

tau2

A vector of the \(\tau^{(t_1,t_2)}_2\) values.

tau3

A vector of the \(\tau^{(t_1,t_2)}_3\) values.

tau4

A vector of the \(\tau^{(t_1,t_2)}_4\) values.

tau5

A vector of the \(\tau^{(t_1,t_2)}_5\) values.

tau6

A vector of the \(\tau^{(t_1,t_2)}_6\) values.

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.

Author

W.H. Asquith

See Also

quacau, theoTLmoms

Examples

if (FALSE) {
tlmrcau(trim=2)
tlmrcau(trim=2, xi=2) # another slow example
}