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Q106Section III (Statistics)106 of 145

X(1)→−θX_{(1)}\to-\theta and X(n)→θX_{(n)}\to\theta, so the range estimates 2θ2\theta

Let X1,…,XnX_1,\dots,X_n be a random sample from U(−θ,θ)U(-\theta,\theta) with T1=X(1)T_1=X_{(1)}, T2=X(n)T_2=X_{(n)}. Then:

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