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Statistics版 - A question about deriving distribution
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话题: deriving话题: balls话题: question话题: var
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1 (共1页)
t**i
发帖数: 688
1
Suppose we have an urn with n balls. Randomly take m (m replacement for K repeats.
Denote X = frequency of a ball being samples. Then E(X) = m/n. What is the
variance of X?
e******e
发帖数: 3472
2
let Z_i=1/0 if the ball is/not sampled in the i-th repeat
Var[sum(Z_i:i=1,2,...,K))/K]=Var(Z_1)/K=m/n*(1-m/n)/K
1 (共1页)
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话题: deriving话题: balls话题: question话题: var