作者Charles125 (4/27视小中友之夜)
看板Statistics
标题completeness
时间Sat Jun 3 22:22:31 2006
Def.
Let f(s│θ) be a family of pdfs or pmfs for statistic S = S(X_1,...X_n).
The family of probability distribution is called complete if
E[u(S)]=0 for all θ implies u(S)=0 with probability 1 for all θ.
Equivalently S is called a complete statistics.
上色的那句话 我看不懂是指什麽意思
可以请各位告诉我一下是什麽意思吗？ 谢谢
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1F：推 jackdan:假设E[u(S)]=0，会得到 P(u(S)=0)=1 06/04 02:16
2F：推 mangogogo:E[u(S)]=0 => u(S)=0 06/04 10:20
3F：→ mangogogo:ie u(S)期望值等於零可推得其本身u(S)亦为零 即完备 06/04 10:23