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Q32Section I (Objective (Q1–Q80))32 of 80

Statistical Inference — MLE for the range of a symmetric uniform distribution

Let x1,x2,x3,…,x10x_1, x_2, x_3, …, x_{10} be random sample from a uniform U(−θ,θ)U(-\theta, \theta), θ>0\theta > 0 distribution. It is given that the values of the largest and smallest observations in the sample are 7 and −12-12 respectively. Then MLE of θ\theta is

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