目的在NA样本下研究双边截断型分布族参数的经验Bayes(EB)估计。方法对密度函数采用核估计的方法构造了参数的EB估计。结果在加权平方损失函数下,获得了该估计的收敛速度。结论在适当的条件下,NA样本双边截断型分布族参数的EB估计的收敛速度任意接近O(n-1/2)。
Aim To study the empirical Bayes estimation for the parameter of the two-side truncated distribution families in the case of NA samples.Methods The EB estimation for the parameter is constructed by the method of kernel estimation.Results The convergence rates of the EB estimation are obtained under the weighted squared loss.Conclusion With some suitable conditions,the rank of the convergence rates for the EB estimation are shown arbitrarily approaching to rates O(n-1/2).