在给定的一组泊松样本下,研究了泊松分布参数倒数的贝叶斯估计问题,得到了它的贝叶斯估计的精确形式,并讨论了它的可容许性,最后给出了它的贝叶斯置信下限的表达式以及最大后验区间估计的精确形式.
In this paper, we dealt with the Bayesian estimation problem for reciprocal of Poisson parameter, given the Poisson random sample, We obtained the exact form of its Bayesian estimator and discussed the admissibility. Finally, we gave the expression of its confidence lower limit and exact form of it's maximal posterior interval estimation.