单边截断型分布族中EB估计的渐近结构

The Asywdtotic of EB Estimation in One-Sided Truncation Distribution Families

本文对单边截断型分布族中位置参数的一阶可微函数在平方损失下所构造的经验Bayes估计φ_n(x)与Bayes估计φ(λ),在适当条件下,证明了(nh_n)^(1/2) (φ(x)-φ_G(x))的极限为N(O,ψ(x)intergral form n=0 to 1 K^2(u)d(u)变量.

Suppose Q(θ) is the unestimated functions of position parameters of one-sided truncation distribution familiesQ'(θ) exists, Q(θ) Bayes Estimation under Loss of square is φG,(x). Defining Q(θ) Emirical Bayes Estimaion is φa(x). This Paper proves under proper conditions