expected_value_and_variance_properties
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| expected_value_and_variance_properties [2023/12/07 12:18] – [Theorem 2: Why square] hkimscil | expected_value_and_variance_properties [2023/12/07 12:18] (current) – [Theorem 2: Why square] hkimscil | ||
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| \begin{align*} | \begin{align*} | ||
| - | Var[aX] & = & E[a^2X^2] − (E[aX])^2 \\ | + | Var[aX] & = E[a^2X^2] − (E[aX])^2 \\ |
| & = a^2 E[X^2] - (a E[X])^2 \\ | & = a^2 E[X^2] - (a E[X])^2 \\ | ||
| & = a^2 E[X^2] - (a^2 E[X]^2) \\ | & = a^2 E[X^2] - (a^2 E[X]^2) \\ | ||
expected_value_and_variance_properties.1701919097.txt.gz · Last modified: 2023/12/07 12:18 by hkimscil