艾拉姆咖分布参数的EB单侧检验

艾拉姆咖分布在武器装备的维修理论中具有重要作用。在独立同分布条件下研究了艾拉姆咖分布参数的经验贝叶斯检验问题。在对贝叶斯检验函数的临界点的特定要求下构造了分布参数的经验贝叶斯检验函数,给出了其渐近最优性的证明;在合适的条件下得出了收敛速度,并给出了一个满足条件的例子。

EB One-tailed Test of ЭрлангаDistribution Parameters

Эрлангаdistribution plays an important role in the maintenance theory of weaponry.This paper studies the empirical bayesian testing problem of Эрлангаdistribution parameters under the independent i-dentically distributed(IID)conditions.It constructs the empirical bayesian testing function of distribution parameter under the specific requirement of Bayesian inspection function's critical point,giving the proof of its asymptotic optimality;It obtains the rate of convergence under appropriate conditions,and gives an ex-ample that meets the condition.