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Q43Section I (Objective (Q1–Q80))42 of 79

Statistical Inference — properties of a single observation from N(0,theta)

Let x1,x2,…,xnx_1,x_2,…,x_n be a random sample from Normal distribution N(0,θ)N(0,\theta), θ≥0\theta\ge0. Consider the following statements in respect of x1x_1: 1. x1x_1 is unbiased for θ\theta. 2. x1x_1 is complete statistic for θ\theta. 3. x1x_1 is sufficient for θ\theta. How many of the above statements are correct?

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