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Competitive Stats
Q30Section I (Objective (Q1–Q80))30 of 80

Statistical Inference — sufficiency for the double exponential location family

Let x1,x2,x3,…,xnx_1, x_2, x_3, …, x_n be a random sample from the double exponential distribution having pdf f(x,θ)=12e−∣x−θ∣f(x, \theta) = \frac{1}{2}e^{-|x-\theta|}; θ∈R\theta \in R, x∈Rx \in R. Which one of the following statements is correct?

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