设x1,x2,...xn为来处总体X的样本,总体X服从(0,Ө)上的均匀分布,试求Ө的矩估计Ө^,并计算样本值为0.2,0.3,0.5,0.1,0.6,0.3,0.2,0.2时,Ө^的估计值
问题描述:
设x1,x2,...xn为来处总体X的样本,总体X服从(0,Ө)上的均匀分布,试求Ө的矩估计Ө^,并计算样本值为0.2,0.3,0.5,0.1,0.6,0.3,0.2,0.2时,Ө^的估计值
我求出EX=Ө/2
那Ө^=2Xˉ
求详解
答
EX=Ө/2 ,Ө^=2Xˉ对的.
样本值为0.2,0.3,0.5,0.1,0.6,0.3,0.2,0.2时,Ө^的估计值Ө^=0.6.