Weibull分布族参数的经验Bayes检验问题

Empirical Bayes Test Problem for the Parameter of Weibull Distribution Family

在NA样本下研究了Weibull分布族刻度参数经验Bayes(EB)单侧检验问题,利用概率密度函数的核估计,构造了刻度参数的EB检验函数,并证明了所提出的经验Bayes检验函数的渐近最优(a.o.)性,获得了其收敛速度.

The Empirical Bayes （EB） one-sided tests of scale parameter are investigated for Weibull distri- bution Family which is NA samples. By using kernel-type density estimation. The Empirical Bayes test rules are constructed. It is shown that the proposed EB tests are asymptotically optional property with convergence rates.