题目

设总体X的概率分布为 X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100)利用来自总体的样本值1,1,0,1,1,可得 X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100)的矩估计值为(). A X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100). B X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100);C X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100)D X=0 =1-dfrac (theta )(100), X=1 =dfrac (theta )(100)

设总体X的概率分布为利用来自总体的样本值1,1,0,1,1,可得的矩估计值为(). 

A .

 B ;

C 

D

题目解答

答案

解：

似然函数为

设对数似然函数为对求导并令其等于0，可得

解方程得到

∴的矩估计值为