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Competitive Stats
Q8Section I (Objective (Q1–Q80))8 of 79

Statistical Inference — sufficiency and MLE for uniform location

Let x1,x2,…,xnx_1,x_2,…,x_n be a random sample from U(θ−0.5,θ+0.5)U(\theta-0.5,\theta+0.5), θ∈R\theta\in\mathbb{R}. Which of the following statements is/are correct? 1. (X(1),X(n))(X_{(1)},X_{(n)}) is sufficient as well as complete. 2. X(1)+X(n)2\frac{X_{(1)}+X_{(n)}}{2} is MLE for θ\theta. Select the correct answer using the code given below:

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