estimated_standard_deviation
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estimated_standard_deviation [2017/12/11 09:41] – hkimscil | estimated_standard_deviation [2019/10/19 05:05] – hkimscil | ||
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$$ | $$ | ||
\begin{align*} | \begin{align*} | ||
- | Var [X + Y] & = E[(X^2 + 2XY + Y^2)] - (a^2 - 2ab - b^2) \\ | + | Var [X + Y] & = E[(X^2 + 2XY + Y^2)] - (a^2 + 2ab - b^2) \\ |
& = E[X^2] - a^2 + E[Y^2] - b^2 \\ | & = E[X^2] - a^2 + E[Y^2] - b^2 \\ | ||
& = Var[X] + Var[Y] | & = Var[X] + Var[Y] |
estimated_standard_deviation.txt · Last modified: 2023/09/13 11:00 by hkimscil