Exponentiated Lomax-Weibull Distribution with Properties and Applications

Abstract

In this paper, the exponentiated Lomax-Weibull distribution is constructed as a new lifetime model using combination of the competing risk and exponentiation methods. Some new and existing distributions are presented as submodels. Mathematical properties to define the distribution are presented in details. Statistical inference is presented for the exponentiated Lomax-Weibull distribution using the method of maximum likelihood estimation to estimate the parameters of proposed distribution. Two lifetime datasets are used to illustrate the usefulness and applicability of the proposed distribution in lifetime data analysis. The results of the
analysis of the datasets show the superiority of the exponentiated Lomax-Weibull distribution
over some compared distributions.