Weighted Gharaibeh distribution with real data applications

In this paper, a new continuous one parameter distribution called weighted Gharaibeh distribution (WGD) is introduced. Its moment generating function, moments and related measures, order statistics, hazard rate function, mean residual life function, Renyi entropy, mean deviations about mean and median, Stochastic ordering, Bonferroni and Lorenz curves are investigated and addressed. The parameter of the WGD is estimated using the maximum likelihood method. A simulation study is conducted to investigate the performance of maximum likelihood estimate. Applications to two real data sets are presented and showed that the WGD has the adequacy of fitting such data better than Gharaibeh distribution and some other existing one parameter distributions.