Test of homogeneity for some population models based on counting processes

Abstract

This work deals with hypothesis testing for some population models based on counting processes. An asymptotic hypothesis testing to find out certain homogeneity conditions about the parameters of these models is carried out. Some local alternatives are considered and these results are applied to prove homogeneity of the resistance level of susceptible individuals in a population which is subdivided into sub populations and is being attacked by an infectious disease.