mean_and_variance_of_geometric_distribution
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| mean_and_variance_of_geometric_distribution [2025/07/05 18:20] – hkimscil | mean_and_variance_of_geometric_distribution [2025/09/10 11:35] (current) – hkimscil | ||
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| ====== Mean ====== | ====== Mean ====== | ||
| 기대값 E(X)는 아래처럼 배웠고. | 기대값 E(X)는 아래처럼 배웠고. | ||
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| \begin{align} | \begin{align} | ||
| E(X) & = \sum_{k=1}^{\infty} k \cdot P(X=k) \nonumber \\ | E(X) & = \sum_{k=1}^{\infty} k \cdot P(X=k) \nonumber \\ | ||
| \end{align} | \end{align} | ||
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| $P(X=k) $가 geometric distiribution에서는 $q^{(k-1)} \cdot p $ 이므로 $E(X)$는 아래와 같다. | $P(X=k) $가 geometric distiribution에서는 $q^{(k-1)} \cdot p $ 이므로 $E(X)$는 아래와 같다. | ||
mean_and_variance_of_geometric_distribution.txt · Last modified: 2025/09/10 11:35 by hkimscil