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Q18Section I (Objective (Q1–Q80))18 of 80

Statistical Inference — sufficiency in a curved family

Let Xi∼N(θ,θ2)X_i \sim N(\theta, \theta^2). Then for parameter θ\theta, T=(∑i=1nXi,∑i=1nXi2)T = \left(\sum_{i=1}^{n}X_i, \sum_{i=1}^{n}X_i^2\right) is:

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