کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1149272 | 957870 | 2011 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Empirical Bayes testing for equivalence Empirical Bayes testing for equivalence](/preview/png/1149272.png)
For a fixed point θ0θ0 and a positive value c0, this paper studies the problem of testing the hypotheses H0:|θ−θ0|≤c0H0:|θ−θ0|≤c0 against H1:|θ−θ0|>c0H1:|θ−θ0|>c0 for the normal mean parameter θθ using the empirical Bayes approach. With the accumulated past data, a monotone empirical Bayes test is constructed by mimicking the behavior of a monotone Bayes test. Such an empirical Bayes test is shown to be asymptotically optimal and its regret converges to zero at a rate (lnn)2.5/n(lnn)2.5/n where n is the number of past data available, when the current testing problem is considered. A simulation study is also given, and the results show that the proposed empirical Bayes procedure has good performance for small to moderately large sample sizes. Our proposed method can be applied for testing close to a control problem or testing the therapeutic equivalence of one standard treatment compared to another in clinical trials.
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 8, August 2011, Pages 2670–2681