Authors: | Dette, Holger Franke, Tobias |
Title: | Constrained D - and D 1-optimal designs for polynomial regression |
Language (ISO): | en |
Abstract: | In the common polynomial regression model of degree m we consider the problem of determining the D- and D1 -optimal designs subject to certain constraints for the D1 - efficiencies in the models of degree m In the common polynomial regression model of degree m we consider the problem of determining the D- and D1-optimal designs subject to certain constraints for the D_1-efficiencies in the models of degree m - j;m - j + 1 ; : : : ;m+ k (m > j>=0; k>=0 given). We present a complete solution of these problems, which on the one hand allow a fast computation of the constrained optimal designs and on the other hand give an answer to on a combination of general equivalence theory with the theory of canonical moments. In the case of equal bounds for the D_1-effciencies the constrained optimal designs can be found explicitly by an application of recent results for associated orthogonal polynomials. |
Subject Headings: | constrained optimal designs polynomial regression D- and D_1-optimal designs associated orthogonal polynomials |
URI: | http://hdl.handle.net/2003/5044 http://dx.doi.org/10.17877/DE290R-15125 |
Issue Date: | 2000 |
Provenance: | Universitätsbibliothek Dortmund |
Appears in Collections: | Sonderforschungsbereich (SFB) 475 |
Files in This Item:
File | Description | Size | Format | |
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2000_37.pdf | DNB | 261.01 kB | Adobe PDF | View/Open |
tr37-00.ps | 289.9 kB | Postscript | View/Open |
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