Before revision:  Concerning the asymptotic behavior of the MLE in the supercritical case, we derive a stochastic representation of the limiting mixed normal distribution containing a jump-type supercritical CIR process , which is a new phenomena, compared to the critical case, where a diffusion-type critical CIR process comes into play .
After revision:  Concerning the asymptotic behavior of the MLE in the supercritical case, we derive a stochastic representation of the limiting mixed normal distribution , where the almost sure limit of an appropriately scaled jump-type supercritical CIR process , which is a new phenomena, compared to the critical case, where a diffusion-type critical CIR process comes into play .