Ononot — In a non-regular case where X1, X2, \dots, Xn \sim \text{Uni

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Inferential Statisticshard

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In a non-regular case where $X_1, X_2, \dots, X_n \sim \text{Uniform}(\theta, \theta + 1)$ , consider the estimator $\hat{\theta} = \min(X_i) - \frac{1}{n+1}$ . Which of the following describes the asymptotic distribution of $n(\hat{\theta} - \theta)$ ?