自然卷在发愣

由Hölder不等式，该式≤1

假设x_k是独立随机同分布变量
$ \frac{\sum_{k=1}^{n}x_k^3}{(\sum_{k=1}^{n}x_k^{2})^\frac{3}{2}}\\ =\frac{n*\frac{1}{n}\sum_{k=1}^{n}x_k^3}{(n*\frac{1}{n}\sum_{k=1}^{n}x_k^{2})^\frac{3}{2}}\\ =\frac{n*E[x^3]}{n^{\frac{3}{2}}*(E[x^2])^{\frac{3}{2}}}\\=n^{-\frac{1}{2}}*\frac{E[x^3]}{(E[x^2])^{\frac{3}{2}}}\\ when~n \to \infty \arrow~it~approaches~0 $

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