摘要
本文在已知正态分布N(θ,σ~2)的方差α~2以及均值θ的下限θ_L和上限θ_U的条件下,针对均值θ的点估计问题,给出一种构造先验分布的方法,由此所求得的Bayes的估计在Bayes准则下优于通常经典统计中的估计x。
In this article, a method for constructing a prior distribution With which Bayesian estimation calculated is better than the
estimation X in the general classic statistics Uuder the Bayesian criterion, is presented for of mean θ on the condition of variance σ2 and low eimit θL, upper limit θu of mean θ of normal distribu N (θ, σ2) being known.