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Competitive Stats
Q12Section I (Objective (Q1–Q80))12 of 80

Statistical Inference — sufficient statistic for normal variance with known mean

Let Xi∼N(μ,θ)X_i \sim N(\mu, \theta); 0<θ<∞0 < \theta < \infty; i=1,2,3,…,ni = 1, 2, 3, …, n such that μ\mu is known but θ\theta is unknown. What is the sufficient statistic for θ\theta?

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