题目
设 X_1, X_2, X_3, X_4 为来自总体 X 的样本,则下列( )不是总体均值无偏估计量.A. hat(mu)_1 = 0.2X_1 + 0.3X_2 + 0.1X_3 + 0.4X_4B. hat(mu)_2 = X_1C. hat(mu)_3 = 0.2X_1 + 0.2X_2 + 0.2X_3 + 0.2X_4D. hat(mu)_4 = 2X_1 + X_2 - 2X_3
设 $X_1, X_2, X_3, X_4$ 为来自总体 $X$ 的样本,则下列( )不是总体均值无偏估计量.
A. $\hat{\mu}_1 = 0.2X_1 + 0.3X_2 + 0.1X_3 + 0.4X_4$
B. $\hat{\mu}_2 = X_1$
C. $\hat{\mu}_3 = 0.2X_1 + 0.2X_2 + 0.2X_3 + 0.2X_4$
D. $\hat{\mu}_4 = 2X_1 + X_2 - 2X_3$
题目解答
答案
C. $\hat{\mu}_3 = 0.2X_1 + 0.2X_2 + 0.2X_3 + 0.2X_4$