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Using a Generalized Δ 2-Distribution for Constructing Exact D-Optimal Designs

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Topics in Statistical Simulation

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 114))

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Abstract

The construction of optimal designs according to a specified criterion is an optimization problem. The majority of relevant algorithms are based on generic methods in which the objective function is constructed in accordance with the chosen criterion. Focusing on the D-criterion, we will take advantage of the structure of the information matrix, whose determinant is to be maximized.

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Acknowledgements

We express our gratitude to Todor A. Angelov for his assistance in efficient programming.

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Authors and Affiliations

  1. Max Planck Institute for Demographic Research, Konrad-Zuse-Str. 1, 18057, Rostock, Germany

    Trifon I. Missov

  2. University of Rostock, Ulmenstr. 69, 18057, Rostock, Germany

    Trifon I. Missov

  3. Faculty of Mathematics and Mechanics, Department of Statistical Simulation, Saint Petersburg State University, 28 Universitetsky prospekt, 198504, Peterhof, Saint Petersburg, Russia

    Sergey M. Ermakov

Authors
  1. Trifon I. Missov
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  2. Sergey M. Ermakov
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Corresponding author

Correspondence to Trifon I. Missov .

Editor information

Editors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    V.B. Melas

  2. University of Bologna, Rimini, Italy

    Stefania Mignani

  3. University of Bologna, Rimini, Italy

    Paola Monari

  4. University of Padova, Padova, Italy

    Luigi Salmaso

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Missov, T.I., Ermakov, S.M. (2014). Using a Generalized Δ 2-Distribution for Constructing Exact D-Optimal Designs. In: Melas, V., Mignani, S., Monari, P., Salmaso, L. (eds) Topics in Statistical Simulation. Springer Proceedings in Mathematics & Statistics, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2104-1_38

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