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Q11Section I (Objective (Q1–Q80))11 of 79

Statistical Inference — unbiased quadratic estimator for uniform

Let X∼U(7,7+θ)X\sim U(7,7+\theta), θ>0\theta>0; U being Uniform distribution. Define T=a(X−b)2T=a(X-b)^2. Then the statistic TT becomes unbiased for θ2\theta^2 if:

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