For the first stage of the application, the three parameters of the EBXII distribution are estimated by using MLEs, MMEs, MPWMEs, PCEs, LSEs and WLSEs. Then, the Kolmogorov–Smirnov (K − S) distance between the empirical distribution function and the fitted EBXII distribution and the corresponding p-value are obtained for comparison purposes. These estimates, K − S distances and the corresponding p-values are presented in Table 3.