Skip to main content
Springer Nature Link
Log in

Construction of T-Optimum Designs for Multiresponse Dynamic Models

  • Conference paper
Compstat

  • 1153 Accesses

Abstract

The paper aims at developing the underlying theory and constructing an efficient procedure for determining optimal experimental conditions for discriminating between several rival multivariate statistical models where the expected response is given by ordinary differential equations. The method elaborated is validated on a simulation example.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Atkinson, A.C. and Donev, A.N. (1992). Optimum Experimental Designs. Ofxord: Clarendon Press.

    MATH  Google Scholar 

  • Atkinson A.C. and Fedorov V.V. (1975a). The design of experiments for discriminating between two rival models. Biometrika, 62, 57–70.

    Article  MathSciNet  MATH  Google Scholar 

  • Atkinson A.C. and Fedorov V.V. (1975b). Optimal design: Experiments for discriminating between two several models. Biometrika, bf 62, 289–303.

    MathSciNet  Google Scholar 

  • Burke, A.L., Duever, T.A. and Pendilis, A. (1994). Model discrimination via designed experiments, Discriminating between the terminal and penultimate models on the basis of composition data. Macromolecules, 27, 386–399.

    Article  Google Scholar 

  • Cox, D.R. and Reid, N. (2000). The Theory of the Design of Experiments. Boca Raton, Chapman and Hall.

    MATH  Google Scholar 

  • Ermakov, S.M., Zhigljaysky, A. (1983). Mathematical theory of experimental design. Moscow: Nauka, (in Russian).

    Google Scholar 

  • Fedorov, V.V. and Hackl, P. (1997). Model-oriented design of experiments. New York, Springer.

    Book  MATH  Google Scholar 

  • Pázman, A. (1986). Foundations of Optimum Experimental Design. Dordrecht, D. Reidel Publishing Company.

    MATH  Google Scholar 

  • Pukelsheim, F. (1993). Optimal design of experiments. New York, Wiley.

    MATH  Google Scholar 

  • Shimizu K. and Aiyoshi E. (1980). Necessary conditions for min-max prob-lems and algorithms by a relaxation procedure. IEEE Transactions on Automatic Control, AC-25, 62–66.

    Article  MathSciNet  Google Scholar 

  • Silvey, S.D. (1980). Optimal design. An introduction to the theory for parameter estimation. London, Chapman and Hall.

    MATH  Google Scholar 

  • Stewart, W.E., Shon, Y. and Box, G.E.P. (1988). Discrimination and goodness of fit of multiresponse mechanistic models. AIChE Journal, 44(6), 1404–1412.

    Article  Google Scholar 

  • Walter, E. and Pronzato, L. (1997). Identification of parametric models from experimental data. Berlin: Springer.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Control and Computation Engineering, University of Zielona Góra, ul. Podgórna 50, 65-246, Zielona Góra, Poland

    Dariusz Uciński

  2. School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, El 4NS, UK

    Barbara Bogacka

Authors
  1. Dariusz Uciński
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Barbara Bogacka
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. CASE — Centre of Applied Statistics and Economics, Humboldt-Universität zu Berlin, Spandauer Straße 1, 10178, Berlin, Germany

    Wolfgang Härdle

  2. Wirtschaftswissenschaftliche Fakultät, Institut für Statistik und Ökonometrie, Humboldt-Universität zu Berlin, Spandauer Straße 1, 10178, Berlin, Germany

    Bernd Rönz

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Uciński, D., Bogacka, B. (2002). Construction of T-Optimum Designs for Multiresponse Dynamic Models. In: Härdle, W., Rönz, B. (eds) Compstat. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57489-4_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57489-4_37

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1517-7

  • Online ISBN: 978-3-642-57489-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics