題組內容

B. Let $X_1, X_2, \ldots, X_n$ be a random sample drawn from the pdf
                         $f(x) = \frac{1}{\theta}, 0 < x < \theta; 0 < \theta$
and $F(x)$ denotes the corresponding distribution function.

(b) \( (5\%) \) Let \( Y_{2} \) denote the second smallest item from this sample. Find the limiting distribution of \( W_{n} = nF(Y_{2}) \).