郑弦的博客

1. 问题假设有nnn个独立同分布的样本：X1,⋯ ,Xn∼fX(x)X_1,\cdots,X_n \sim f_X(x)X1​,⋯,Xn​∼fX​(x)，下面给出两个统计量：θ1^=max⁡(X1,⋯ ,Xn)\hat{\theta_1} = \max(X_1, \cdots, X_n)θ1​^​=max(X1​,⋯,Xn​)θ2^=min⁡(X1,⋯ ,Xn)\hat{\theta_2} = \min(X_1, \cdots, X_n)θ2​^​=min(X1​,⋯,Xn​)求解这俩新随机变