Some Properties of the Odd Weibull Exponential Distribution with Application

This paper will suggest a new type of continuous distribution called Odd Weibull Exponential Distribution (OWE) and the purpose of this distribution (OWE) is to apply to two sets of real data. The distribution (OWE) is as a sub-model of NOW-G family and many statistical properties have been derived. Quantile function, Expansion of functions, Moments, Incomplete moments, Probability Weighted Moments, Rényi entropy, as well as estimation of distribution parameters through Maximum Likelihood Estimation (MLE). A modelling study was carried out with data sets from the data includes 30 observation of March precipitation in Minneapolis Paul. Economic data consists of 31 observations on the response variable GDP growth of Egypt. Moreover, the proposed distribution (OWE) has been found to outstrip other existing distributions by basing us on statistical parameters and comparing them.