一类Cox模型参数的经验Bayes的双侧检验
Empirical Bayes Two-Sided Test for the Parameter of Cox Models
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摘要: 本文在~``平方损失''~下,研究了一类~Cox~模型参数的经验~Bayes~(EB)~双侧检验问题,首先利用概率密度函数的递归核估计, 构造了参数的经验~Bayes~检验函数,在适当的条件下证明了它的渐近最优~(a.o.)~性, 并获得了其收敛速度,最后给出满足定理条件的例子.Abstract: In this paper, the empirical Bayes (EB) two-sided test for parameter of Cox models is investigated under square loss functions. At first by using recursive kernel estimation of probability function the empirical Bayes two-sided test rule is constructed. It proves that the proposed empirical Bayes test rule is asymptotic optimal and convergence rates are obtained under suitable conditions. Finally an example of satisfying theorem conditions is given.