作者Charles125 (4/27視小中友之夜)
看板Statistics
標題completeness
時間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.
上色的那句話 我看不懂是指什麼意思
可以請各位告訴我一下是什麼意思嗎？ 謝謝
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1F：推 jackdan:假設E[u(S)]=0，會得到 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)亦為零 即完備 06/04 10:23