JSM 2004 - Toronto

Abstract #301099

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Activity Number: 163
Type: Contributed
Date/Time: Monday, August 9, 2004 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #301099
Title: D-optimum Designs for Dynamic Systems in the Presence of Auto-correlated Errors
Author(s): Barbara Bogacka*+ and Bartosz Kuczewski and Maciej Patan
Companies: Queen Mary, University of London and University of Zielona Gora and University of Zielona Gora
Address: Mile End Rd., London, E1 4NS, United Kingdom
Keywords: nonlinear regression ; chemical kinetic models
Abstract:

Optimum experimental designs for parameter estimation are widely considered in the statistical literature, particularly for linear models of observations. However, there is not much work done for models with complicated error structures, though in many practical situations in which data are collected sequentially over time, substantial serial correlation in the errors appears. This phenomenon presents a serious difficulty in building constructive algorithms for determining optimal experimental designs. Some efficient algorithms will be proposed to determine D-optimum design in the presence of the auto-correlated errors and are validated via computer simulations for a class of nonlinear dynamic models coming from chemical kinetics. The paper closes with discussion of related work and some suggestions for further developments.

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