In this paper, we define the mixed fractional Constant Elasticity of Variance (CEV) process exploiting a transfer equation. This transformation enables us to shift non-linearity from the volatility coefficient into the drift one and accordingly, the problem can be more easily studied. We confirm the existence of a unique positive solution to the transfer equation and verify the conditions under which the probability that, on any fixed finite interval, the mixed fractional CEV process does not hit zero tends to 1 (by some simulation, we illustrate more). Next, some parameters of the process are estimated and finally, we examine the ability of this process to model a financial market.

在本文中，我们利用转移方程定义了混合分数的方差恒定弹性（CEV）过程。这种变换使我们能够将非线性从波动系数转移到漂移系数，因此，可以更轻松地研究问题。我们确认传递方程存在唯一正解，并验证在任何固定有限区间内混合分数CEV过程未达到零的概率趋向于1的条件（通过某些模拟，我们将进行更多说明） 。接下来，估计该过程的一些参数，最后，我们检查该过程对金融市场建模的能力。