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 a dependent on the values for $\mu$ and $\sigma$.
The function uses numerical integration of the quantile function of the distribution through the theoTLmoms function.
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.