mean_and_variance_of_geometric_distribution
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| mean_and_variance_of_geometric_distribution [2023/10/18 17:31] – hkimscil | mean_and_variance_of_geometric_distribution [2025/07/05 18:20] (current) – hkimscil | ||
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| ====== Mean and Variance of Geometric Distribution ====== | ====== Mean and Variance of Geometric Distribution ====== | ||
| + | 기하분포의 평균, 그리고 분산 | ||
| ====== Mean ====== | ====== Mean ====== | ||
| 기대값 E(X)는 아래처럼 배웠고. | 기대값 E(X)는 아래처럼 배웠고. | ||
| Line 55: | Line 56: | ||
| $p(x) = q^{(k-1)} \cdot p $ 혹은 | $p(x) = q^{(k-1)} \cdot p $ 혹은 | ||
| $p(x) = (1-p)^{(k-1)} \cdot p $ | $p(x) = (1-p)^{(k-1)} \cdot p $ | ||
| - | 그리고 우선 $(1)$식에서 $E(X^2)$ 부분을 보면, | + | 그리고 우선 $(6)$식에서 $E(X^2)$ 부분을 보면, |
| \begin{align} | \begin{align} | ||
| Line 134: | Line 135: | ||
| \\ | \\ | ||
| \end{eqnarray*} | \end{eqnarray*} | ||
| + | |||
| + | 따라서 | ||
| \begin{eqnarray*} | \begin{eqnarray*} | ||
mean_and_variance_of_geometric_distribution.1697617910.txt.gz · Last modified: 2023/10/18 17:31 by hkimscil