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2010 Curvature measures for nonlinear regression models using continuous designs with applications to optimal experimental design
Timothy O’Brien, Somsri Jamroenpinyo, Chinnaphong Bumrungsup
Involve 3(3): 317-332 (2010). DOI: 10.2140/involve.2010.3.317

Abstract

We present and illustrate the methodology to calculate curvature measures for continuous designs, and extend design criteria to incorporate continuous designs. These design algorithms include quadratic design procedures, a subset design criterion, a second-order mean-square error design criterion, and a marginal curvature design methodology. A discussion of confidence intervals is also provided for continuous designs.

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Timothy O’Brien. Somsri Jamroenpinyo. Chinnaphong Bumrungsup. "Curvature measures for nonlinear regression models using continuous designs with applications to optimal experimental design." Involve 3 (3) 317 - 332, 2010. https://doi.org/10.2140/involve.2010.3.317

Information

Received: 19 May 2010; Accepted: 13 June 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1204.62110
MathSciNet: MR2739522
Digital Object Identifier: 10.2140/involve.2010.3.317

Subjects:
Primary: 53A45, 62J02
Secondary: 62K05

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.3 • No. 3 • 2010
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