| 最大值 | $ {X}_{\text{Max}} $=max$ \{{x}_{1},{x}_{2},\cdots, {x}_{n}\} $ |
| 最小值 | $ {X}_{\text{Min}} $=min$ \{{x}_{1},{x}_{2},\cdots, {x}_{n}\} $ |
| 中值 | 奇数时为中间元素，偶数时为中间2个元素和取均值 |
| 众数 | 频率最高的值 |
| 方差 | $ {X}_{\text{Var}} $=$ \dfrac{1}{N}\displaystyle\sum\nolimits_{n=1}^{N}{\left(\overline{X}-{{X}_{n}}\right)}^{2} $ |
| 均值 | $ \overline{X} $=$ \dfrac{1}{N}\displaystyle\sum\nolimits_{n=1}^{N}{X}_{n} $ |
| 标准差 | $ \sigma $=$ \sqrt{\dfrac{1}{N}\displaystyle\sum\nolimits_{n=1}^{N}{\left(\overline{X}-{{X}_{n}}\right)}^{2}} $ |
| 取值范围 | $ {X}_{\text{Ra}} = {X}_{\text{Max}} $$- {X}_{\text{Min}} $ |
| 四分位距 | $ {I}_{\text{QR}} = {Q}_{3}- {Q}_{1} $ |
| 偏度 | $ {X}_{\text{Ske}} = \dfrac{1}{N}\displaystyle\sum\nolimits_{i=1}^{N}\dfrac{{\left(x_i-\overline{x}\right)}^{3}}{{\sigma }^{3}} $ |
| 峰度 | $ {X}_{\text{kurt}} $=$ \dfrac{1}{N}\displaystyle\sum\nolimits_{i=1}^{N}\dfrac{{\left(x_i-\overline{x}\right)}^{4}}{{\sigma }^{4}} $−3 |
| 波动系数 | ${\mathrm{CV}}= \dfrac{\sigma }{\overline{x}} $ |
| 分形维数 | $ D=\underset{\epsilon \rightarrow 0}{\lim } \dfrac{\lg \;({N}(\epsilon))}{\lg \;(1/ \epsilon)} $ |
| 样本熵 | $ \mathrm{SampEn}\;(m,r)=-\ln \left[\dfrac{{B}^{m+1}(r)}{{B}^{m}(r)}\right] $ |
| 排列熵 | $ {H}_{\text{pe}}({P}_{j})=-\displaystyle\sum\limits_{{j}=1}^{{k}}{P}_{j}\ln ({P}_{j}) $ |
| 模糊熵 | $ \text{FuzzyEn}\left(m,r\right)=-\ln \left(\dfrac{A(m,r)}{B(m,r)}\right) $ |