For one application of the MGG distribution, we
used a real data set. This was the flood rates data from
the Floyd River located in James, Iowa, USA for the
years 1935-1973 from Akinsete et al. (2008). The
maximum likelihood method provides parameters
estimation. By comparing these fitting distribution in
Table 3 based on the p-value of this comparison, the
results have shown that the MGG distribution provided a better fit than the GG, LGG and the three
parameters Weibull distributions. Since, Mahdi and
Gupta (2013) presented the three parameters Weibull
distribution obtained the pdf as: