Table 3 clarifies that the EBXII distribution, with parameters estimated by the MME, provides the best fitting. Besides, for this data set, the performance of the MLE is quite close to that of the LSE. Moreover, it can be seen that the MPWME gives a satisfactory result. These findings are also consistent with the numerical comparison results given in Section 3.2, which generally suggest the use of the MME and MPWME for estimating the parameters of the EBXII distribution. Consequently, the real-data application also confirms the best performance of the MME and MPWME in the EBXII distribution.