Empirical Bayes Test Problemfor the Parameter of Linear Exponential Distribution
线性指数分布参数的经验Bayes检验问题

In this paper, the empirical Bayes one-sided and two-sided test rules for the parameter of linear exponential distribution are constructed by using the kernel-type density estimation. The asymptotically optimal property and convergencerates for the proposed EB test rules are obtained under suitable conditions. Finally, an example about the main result of this paper is given.