Mathematics · Statistical Inference

Let X1, X2, ..., Xn (n ≥ 2) be a random sample from a continuous distribution with the probability density function f(x | θ) = 12θ e-|x-θ|/θ, x ∈ R, where θ (>0) is an unknown parameter. Let Un = 1n ∑ Xi, Vn = 1n ∑ Xi2, and Sn2 = 1n - 1 ∑ (Xi - Un)2. Then, which of the following statements is true?