lmomco (version 2.3.1)

tlmrnor: Compute Select TL-moment ratios of the Normal Distribution

Description

This function computes select TL-moment ratios of the Normal distribution for defaults of \(\mu = 0\) and \(\sigma = 1\). 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 \(\mu\) and \(\sigma\).

Usage

tlmrnor(trim=NULL, leftrim=NULL, rightrim=NULL, mu=0, sigma=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.

mu

Location parameter (mean) of the distribution.

sigma

Scale parameter (standard deviation) of the distribution.

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.

See Also

quanor, theoTLmoms

Examples

# NOT RUN {
tlmrnor(leftrim=2, rightrim=1)
tlmrnor(leftrim=2, rightrim=1, mu=100, sigma=1000) # another slow example
# }