کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1149273 | 957870 | 2011 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sequential testing of gradual changes in the drift of a stochastic process
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Sequential testing of gradual changes in the drift of a stochastic process Sequential testing of gradual changes in the drift of a stochastic process](/preview/png/1149273.png)
چکیده انگلیسی
In this paper, some sequential monitoring procedures are constructed and analyzed for detecting a “gradual” change in the drift parameter of a general stochastic process satisfying a certain (weak) invariance principle. It is shown that the tests can be constructed such that the “false alarm rate” attains a prescribed level (say) α and that the tests have “asymptotic power 1”. A more precise analysis of the procedures under the alternative proves that the stopping times, suitably normalized, have a standard normal limiting distribution. A few results from a small simulation study are also presented in order to give an idea of the finite sample behaviour of the suggested procedures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 8, August 2011, Pages 2682-2699
Journal: Journal of Statistical Planning and Inference - Volume 141, Issue 8, August 2011, Pages 2682-2699
نویسندگان
Josef G. Steinebach, Hella Timmermann,