非零均值的多元正态高阶混合矩的计算

High Order Moment of Multivariate Normal Random Vector

目的对高阶混合矩的计算公式中均值条件进行了研究．方法运用了无编号分组的方法，将高阶混合矩在均值为任意ｎ维实向量状态下的计算公式加以推广．使得高阶混合矩的计算具有了较广泛的使用范围．结果当均值为任意ｎ维实向量时，均可使用该公式计算高阶混合矩，改善了公式的使用条件．结论该公式的建立使高阶混合矩的计算有了较普遍的意义．关于公式的其它条件有待于进一步研究，推广．

Aim\ To research the calculation formula about high order moment of multivariate normal vector. Methods\ By means of numberless grouping, the calculation formula about high order moment of multivariate normal vector can be thought of as arbitrary n dimensional real vector. It also makes available the calculation of high order moment of multivariate universally. Results\ When the average is arbitrary n dimensional real vector, the calculation formula about high order moment of multivariate not only can be used all the time, but also can improve the applialle conditions of the formula ′s. Conclusion\ Setting up the formula will make available the calculation about high order moment of multivariate universally. Other conditions of this formula should be made in further study.