Studies on mathematical model for power derivatives

建立了幂导数的数学模型。特别地，我们在以下三个方面得到了新的结果：1)我们用卷积滤波器构造了幂导数及其参数的期限结构的估计格式。2)提出了识别风险市场价格及其参数的估计程序。3)采用非中心卡方随机生成方法，提出了波动过程及其包含参数的估计算法。

The mathematical modes for power derivatives areconstructed. Especially, we obtain the new results for the following three items:1)We construct the estimation scheme for the term structure of power derivativeswith their parameters by using convolution filter. 2)We propose the estimation procedure for identifying the market price of risk andits parameters.3)The estimation algorithm for volatility process and its includedparameters is proposed by using the Non-central chi- square random generation method.