کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9741782 | 1489781 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On empirical Bayes procedures for selecting good populations in a positive exponential family
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper deals with the problem of selecting good populations with respect to a control from k(⩾2) populations. The random variable associated with population Ïi is assumed to be positive-valued and has density of form f(xi|θi)=c(θi)exp(-xi/θi)h(xi) with unknown parameter θi, for each i=1,â¦,k. A nonparametric empirical Bayes approach is used to construct the selection procedures. The performance of the procedures is investigated by studying their regret Bayes risks rn. Under the simple assumption on the prior Gi of â«Î¸3Gi(θ)<â, we show that nrnâm, where m is a constant that can be calculated explicitly. The result indicates that the rate O(n-1) can be easily obtained for nonparametric procedures under weak conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 129, Issues 1â2, 15 February 2005, Pages 3-18
Journal: Journal of Statistical Planning and Inference - Volume 129, Issues 1â2, 15 February 2005, Pages 3-18
نویسندگان
Shanti S. Gupta, Jianjun Li,