A characterization of the Burr Type III and Type XII distributions through the method of percentiles and the Spearman correlation
Abstract
A characterization of Burr Type III and Type XII distributions based on
the method of percentiles (MOP) is introduced and contrasted with the
method of (conventional) moments (MOM) in the context of estimation
and fitting theoretical and empirical distributions. The methodology is
based on simulating the Burr Type III and Type XII distributions with
specified values of medians, inter-decile ranges, left-right tail-weight
ratios, tail-weight factors, and Spearman correlations. Simulation results
demonstrate that the MOP-based Burr Type III and Type XII distributions
are substantially superior to their (conventional) MOM-based counterparts in terms of relative bias and relative efficiency.