A new generalization for the GD is proposed which is called GGD. Some statistical properties of this distribution have
been derived and discussed. The quantile, median, and mode of GGD are derived in closed forms. The maximum likelihood
estimators of the parameters are given. Also, the moments of the GGD is derived as infinite series expansion form. The obtained
new distribution has been applied with real lifetime data using Monte Carlo simulation method. These applications
with real data have shown that the new distribution fits the real data very well than the well known distributions