摘要:
考虑直接用定义计算古典概型高阶原点矩的复杂性，本文给出了2种计算古典概型高阶矩的方法。方法一中考虑(1 + n)
m+1的二项展开式，应用数学归纳法，得出了古典概型高阶矩的递推表达式。方法二中考虑
可表示成m + 1次多项式的形式，将问题转化为求解m元线性方程组，从而给出古典概型高阶矩的表达式。最后，以掷骰子随机实验和选取英文字母随机实验的高阶原点矩的求解为例具体给出了两种方法的计算过程。
Abstract:
Due to the mathematical complexity of calculating the high order origin moments of classical probabilistic models directly by definition, two methods for calculating the higher order moments are given in this paper. In the method one, considering the expansion of the expression (1 + n)
m+1, and applying the mathematical induction method, we obtained the recursive expression of the higher order moments. In the method two, thanks to the
can be represented by the repre-sentation of m + 1 polynomials, it can be further transformed into an m elements linear system. The expression of the classical model can be found by solving the system of linear equations. Finally, we use the dice test and the English alphabetic experiment as examples to show how to use the two methods.