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Q148Section III (Statistics)148 of 190

Unbiasedness for a symmetric uniform location family — checking each candidate

Suppose {X1,X2,…,Xn}\{X_1,X_2,\dots,X_n\} is a random sample from uniform U(θ−1/2,θ+1/2)U(\theta-1/2,\theta+1/2) distribution, θ∈R\theta\in\mathbb{R}. Then:

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