In this paper we to model the intensity function of Poisson process considering the total number of recurrent events and the total tiem for each sample unit subject to earlier time. Being that one of the component represents the Poisson process and the other the total number of events occurring in the same unit. Simulation studies and empirical hypothesis testing for significance of the parameters were performed. Significance of the Wald and likelihood ratio hypothesis testing were was approximately 10% to more 50 recorrences. A dataset with recorrences time in the acquisition of cosmetics was modeled properly, having significant parameters and estimated and observed values are close, justifying the use of the proposed model for times and numbers of recurrences in a sample unit.
Reccurent events; perturbed Poisson process; likelihood estimation; Wald test; likelihood ratio test
