کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1152848 | 1489898 | 2010 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A study on design uniformity under errors in the level values
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Discrepancy is an important criterion for uniformity in the design of experiments. Basically, it measures the distance between two functions: the empirical distribution of the design points and the theoretical uniform distribution function. This paper studies the properties of uniformity when the factor level values are contaminated with errors. Specifically, our study focuses on the wrap-around L2-discrepancy. It is shown that uniform designs with errors are less uniform (in the average sense) than the original ones without errors. Related theorems are obtained. Furthermore, it can be shown that the lattice sampling outperforms Latin hypercube sampling. The latter can be viewed as a lattice sampling with error-in-level values.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 80, Issues 19â20, 1â15 October 2010, Pages 1467-1471
Journal: Statistics & Probability Letters - Volume 80, Issues 19â20, 1â15 October 2010, Pages 1467-1471
نویسندگان
Jianfeng Yang, Fasheng Sun, Dennis K.J. Lin, Min-Qian Liu,