Abstract:

A three-parameter exponentiated new modified weighted Rayleigh distribution is proposed from an existing work introduced by Elsherpieny et al. (2017) using a modification method. The modification was done by replacing one of the parameters of the existing distribution with two to gain the modified distribution. Several statistical properties of the target distribution are derived and discussed. We apply a real-life data set to illustrate the flexibility and potentiality of the distribution and the result reveals that the proposed distribution is better than other known and new distributions considered for the study.