Two Weighted Distributions Generated by Exponential Distribution

In this paper, we propose new classes of weighted distributionsby incorporating exponential distribution in azzalini’s method. resultingweighted models generated by exponential distribution are: theweighted gamma-exponential model and the weighted generalized exponenatial-exponential model. the hazard rate function of these distributionshas different shapes including increasing, decreasing and unimodal.the moment properties of the proposed distributions are studied.maximum likelihood estimators (mles) of the unknown parameterscannot be obtained in explicit forms and they have to be obtained bysolving some numerical methods. two data sets have been analyzed forillustrative purposes, which show that the proposed models can be usedquite effectively in analyzing real data.