Weighted Gharaibeh Distribution with Real Data Applications

Abstract

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 theWGD is estimated using the maximum likelihood method. Applications to two real data sets are presentedand showed that the WGD has the adequacy of tting such data better than Gharaibeh distribution andsome other existing one parameter distributions.