3. (15%) Let $X_1, X_2, \ldots, X_n$ be a random sample from the pdf

$$f(x|\theta) = \theta x^{-2}, \ 0 < \theta \le x \le \infty.$$

a. (5%) Find a sufficient statistic of $\theta$.

阿摩線上測驗 · 2026-10-22T09:17:43+08:00

3. (15%) Let X_1, X_2, , X_n be a random sample from the pdf f(x|θ) = θ x^-2, 0 < θ x ∞. a. (5%) Find a sufficient statistic of θ.

3. (15%) Let $X_1, X_2, \ldots, X_n$ be a random sample from the pdf

$$f(x|\theta) = \theta x^{-2}, \ 0 < \theta \le x \le \infty.$$

a. (5%) Find a sufficient statistic of \(\theta\).