Estimating 𝐿-Functionals for Heavy-Tailed Distributions and Application

Figure 4

Plots of the ratios of the numbers of extreme statistics, as functions of the sample size, for a stable symmetric distribution 𝑆_1.2(1,0,0) (solid line), a stable distribution skewed to the right 𝑆_1.2(1,0.5,0) (dashed line) and a stable distribution skewed to the left 𝑆_1.2(1,−0.5,0) (dotted line).