For an univariate distribution F, the usual functional parameters describing location, dispersion and skewness are highly connected with the median and so, may be interpreted as Li tools. In previous papers, the authors defined location functions gen¬eralizing M-Location parameters. These functions are used here to extend to L_i the L_i tools mentionned above. For any s&egs0t a tailweight definition, coherent with the Ls+i sense is introduced. It is shown that the L_s description of F can be reduced to the Li description of a transformed distribution F _s Asymptotic results are given for s = 1