کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10525224 | 957931 | 2005 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniformity in factorial designs with mixed levels
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Uniformity in factorial designs with mixed levels Uniformity in factorial designs with mixed levels](/preview/png/10525224.png)
چکیده انگلیسی
The uniformity can be utilized as a measure for comparing factorial designs. Fang and Mukerjee (Biometrika 87 (2000) 193-198) and Fang et al. (in: K.T. Fang, F.J. Hickernell, H. Niederreiter (Eds.), Monte Carlo and Quasi-Monte Carlo Methods 2000, Springer, Berlin, 2002) found links among uniformity in terms of some non-uniformity measures, orthogonality and aberration for regular symmetric factorials. In this paper we extend their results to asymmetric factorials by considering a so-called wrap-around L2-discrepancy to evaluate the uniformity of factorials. Furthermore, a lower bound of wrap-around L2-discrepancy is obtained for asymmetric factorials and two new ways of construction of factorial designs with mixed levels are proposed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 128, Issue 2, 1 February 2005, Pages 593-607
Journal: Journal of Statistical Planning and Inference - Volume 128, Issue 2, 1 February 2005, Pages 593-607
نویسندگان
Kashinath Chatterjee, Kai-Tai Fang, Hong Qin,