Before revision: We consider a jump-type Cox-Ingersoll-Ross (CIR) process driven by  a subordinator, and we study asymptotic properties of the maximum likelihood estimator (MLE) for its growth rate.
After revision: We consider a jump-type Cox-Ingersoll-Ross (CIR) process driven by a standard Wiener process and a subordinator, and we study asymptotic properties of the maximum likelihood estimator (MLE) for its growth rate.