variance
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variance [2019/09/30 23:06] – hkimscil | variance [2019/09/30 23:13] – hkimscil | ||
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- | $ \sigma^2 = \displaystyle \frac{\displaystyle \sum (X_i-\mu)^2}{N}$ 에서 | ||
{{anchor: | {{anchor: | ||
+ | $ \sigma^2 = \displaystyle \frac{\displaystyle \sum (X_i-\mu)^2}{N}$ 에서 | ||
+ | |||
\begin{eqnarray*} | \begin{eqnarray*} | ||
\sum (X_i-\mu)^2 & = & \sum [(X_i^2)-(2*X_i*\mu)+(\mu^2)] \\ | \sum (X_i-\mu)^2 & = & \sum [(X_i^2)-(2*X_i*\mu)+(\mu^2)] \\ | ||
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\begin{eqnarray*} | \begin{eqnarray*} | ||
- | \displaystyle \mu & = \frac{\sum (X_i)}{N} \\ | + | \displaystyle \mu & = \displaystyle |
- | \sum (X_i) & = N * \mu \\ | + | \displaystyle |
\end{eqnarray*} | \end{eqnarray*} | ||
variance.txt · Last modified: 2022/09/01 01:50 by hkimscil