DEVELOPMENT OF COMPLEMENTARY GENERALIZED TRANSMUTED POISSON LOMAX DISTRIBUTION AND IT’S APPLICATIONS

Abstract

A new four parameter lifetime distribution, which extends the Lomax distribution was introduced by compounding the Lomax distribution with the complementary generalized transmuted Poisson family of distributions. The probability density function and cumulative distribution function, as well as some basic statistical properties of the new distribution, such as moments, reliability function, hazard function, quantile function, residual life function, entropy and the order statistics were derived. Some plots of the distribution shows that it was a positively skewed distribution. The maximum likelihood estimation method was used to estimate the parameters of the new distribution. A simulation study to assess the performance of the parameters of the complementary generalized transmuted Poisson Lomax distribution was provided with an application to life data to assess the potentiality of the newly derived distribution. The results showed that the proposed distribution provided better fit than some generalizations of the Lomax distribution.