list. This function is intended
to facilitate the use of TL-moments that the user might have from other sources. The trimming on the left-tail is denoted by $t$ and the trimming on the right-tail is denoted as $s$. The first five TL-moments are $\lambda^{(t,s)}_1$, $\lambda^{(t,s)}_2$, $\lambda^{(t,s)}_3$, $\lambda_4$, $\lambda^{(t,s)}_5$, $\tau^{(t,s)}$, $\tau^{(t,s)}_3$, $\tau^{(t,s)}_4$, and $\tau^{(t,s)}_5$. The function supports TL-moments and TL-moment ratios of arbitrary length. Because in typical practice, the $k \ge 3$ order L-moments are dimensionless ratios ($\tau^{(t,s)}_3$, $\tau^{(t,s)}_4$, and $\tau^{(t,s)}_5$), this function computes $\lambda^{(t,s)}_3$, $\lambda^{(t,s)}_4$, $\lambda^{(t,s)}_5$ from $\lambda^{(t,s)}_2$ and the ratios. However, typical practice is not set on the use of $\lambda^{(t,s)}_2$ or $\tau^{(t,s)}$ as measure of dispersion. Therefore, this function takes an lscale optional logical argument---if $\lambda^{(t,s)}_2$ is provided and lscale=TRUE, then $\tau$ is computed by the function and if $\tau$ is provided, then $\lambda^{(t,s)}_2$ is computed by the function. The trim level of the TL-moment is required. Lastly, it might be common for $t=s$ and hence symmetrical trimming is used.vec2TLmom(vec, ...)vec2lmom.list is returned where $t$ represents the trim level.NULL if asymmetrical trimming is used.TLmoms, vec2lmomTL <- vec2TLmom(c(12,0.6,0.34,0.20,0.05),lscale=FALSE,trim=1)Run the code above in your browser using DataLab