Burr Type Ⅻ分布参数的经验Bayes检验问题

EMPIRICAL BAYES TEST PROBLEM FOR THE PARAMETER OF BURR TYPE XII DISTRIBUTION

研究了Burr Type XII分布参数的经验Bayes(EB)单侧和双侧检验问题.利用密度函数的递归核估计构造了参数的EB检验函数,并在适当的条件下证明了所提出的EB检验函数的渐近最优性,获得了其收敛速度.最后给出一个有关主要结果的例子.

In this paper, we consider the empirical Bayes （EB） one-sided and two- sided test problems for the parameter of Burr Type Ⅻ distribution. The EB test rules are constructed by using the recursive kernel estimation of probability density function. The asymptotically optimal property and convergence rates for the proposed EB test rules are obtained under suitable conditions. Finally, an example shows the effectiveness of the main results.