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1657统计困难derivationmedium

Optimal Haircut on a Multiplicative Vol Signal

题目

An estimator A is unbiased for theta and satisfies Var(A) = 0.3 theta^2. A risk team reports delta_c = cA instead. Find the value of c that minimizes MSE, and give the minimum MSE as a multiple of theta^2.

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c

minimum MSE as a multiple of theta^2