二、 統計部分:
5. (10 分) Suppose \(X_1, X_2, \dots, X_n\) are i.i.d. random variables following the exponential distribution with PDF
\[ f(x; \lambda) = \lambda e^{-\lambda x}, x \ge 0, \lambda > 0. \]
Find the MLE of \(\lambda\).
二、 統計部分:
5. (10 分) Suppose \(X_1, X_2, \dots, X_n\) are i.i.d. random variables following the exponential distribution with PDF
\[ f(x; \lambda) = \lambda e^{-\lambda x}, x \ge 0, \lambda > 0. \]
Find the MLE of \(\lambda\).