کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1149067 | 957861 | 2006 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Construction of optimal designs using a clustering approach
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
There are a variety of problems in statistics which require the calculation of one or several optimizing probability distributions or measures. A class of multiplicative algorithms, indexed by functions f(.) of derivatives is considered. The performance of the algorithm is first investigated in finding one optimizing distribution, namely a D-optimal design on a continuous compact (design) interval or space. In practice we must discretize these spaces. The optimum design often turns out to be a distribution defined on disjoint clusters of points. These clusters begin to 'form' early on in the above iterations. The idea is that, at an appropriate iterate p(r), the single distribution p(r) should be replaced by conditional distributions within clusters and a marginal distribution across the clusters. This approach is formulated for a general regression model and, then is explored through several regression models. Considerable improvements in convergence are seen for each of these models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 3, 1 March 2006, Pages 1120-1134
Journal: Journal of Statistical Planning and Inference - Volume 136, Issue 3, 1 March 2006, Pages 1120-1134
نویسندگان
S. Mandal, B. Torsney,