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.
