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.

(a) \( (5\%) \) Let \( Y_{n} = \max \{X_{1},\dots,X_{n}\} \). Find the limiting distribution of \( Z_{n} = n(1 - Y_{n}) \).