A New Distribution for Modeling both Blood Cancer Data and Median Effective Dose (ED50) of Artemether-Lumefantrine against P. falciparum

Abstract

In this paper, a novel distribution was proposed for modeling data on Leukemia and median effective dose (ED50) of Artemether-Lumefantrine against Plasmodium falciparum. Plasmodium falciparum or P. falciparum is one of the protozoan species that causes malaria. In the treatment of malaria, especially in sub-Saharan Africa Artemether-Lumefantrine dominates the hospitals. The ED50 (median effective dose) is the dose of a medication that produces a specific effect in 50\% of the population that takes that dose. The new distribution has three parameters that make it both flexible and tractable. The distribution is called the Gompertz-Lindley distribution. The model's hazard function behavior was presented together with the properties of the proposed distribution. The parameters were estimated using the method of maximum likelihood. From the analysis, the Gompertz-Lindley distribution is better than the competing standard distribution in the instances of the two data sets deployed.