A Method for Simulating Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations

Figure 1

The pdf and cdf of the Burr Type XII distribution with skew (𝛾₃)=3 and kurtosis (𝛾₄)=21. The solved values of 𝑐 and 𝑘 used in (5) and (1) are 𝑐=1.187185 and 𝑘=5.199500 which are also associated with the parameters in Tables 1 and 2.

(a)

(b)