  In this paper, we consider a stochastic model based on the Cox- Ingersoll-
Ross model (CIR). The stochastic model is parameterized analytically by
applying It\^o's calculus and the trend functions of the proposed process is
calculated. The parameter estimators are then derived by means of two
procedures: the first is used to estimate the parameters in the drift
coefficient by the maximum likelihood (ML) method, based on continuous
sampling, and the second procedure approximates the diffusion coefficient by
two methods. Finally, a simulation of the process is presented. Thus, a typical
simulated trajectory of the process and its estimators is obtained.
