Abstract
The Transmuted Inverse Power Lomax (𝑇𝐼𝑃𝐿) Distribution has been derived using Inverse Power
Lomax Distribution (IPL) distribution and the Quadratic Rank Transmutation Map (QRTM). The
developed distribution is more flexible and adaptable in modeling data exhibiting different shapes
of the hazard function than its sub-models and other competing distributions. The mathematical
expressions and shapes of the distribution function, probability density function, hazard rate
function and reliability function are studied. The parameters of the 𝑇𝐼𝑃𝐿 distribution is estimated
by the method of maximum likelihood. Finally, the 𝑇𝐼𝑃𝐿 distribution is applied to breast cancer
data set and found to be better fit than 𝐼𝑃𝐿 distribution and Inverse Lomax (𝐼𝐿) distribution.