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On Equidistant Designs, Symmetries and Their Violations in Multivariate Models

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Contemporary Experimental Design, Multivariate Analysis and Data Mining

Abstract

In this Festschrift to Prof. Kai-Tai Fang 80 birthday we emphasize importance and potential of his results in statistics and general sciences. In particular we concentrate on equidistant designs, symmetric and asymmetric models. We discuss equidistant designs from perspective of optimal designs of experiments with correlated errors. We address symmetry and asymmetry of statistical multivariate models and its recent developments. Several applications are given.

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Acknowledgments

The work was supported by project Fondecyt Proyecto Regular No. 1151441 and Project LIT-2016-1-SEE-023 modec. We acknowledge support of the Editors and the informative and insightful suggestions of Referee.

Author information

Authors and Affiliations

  1. Institute of Statistics, University of Valparaíso, Valparaíso Chile and Department of Applied Statistics and Linz Institute of Technology, Johannes Kepler University Linz, Linz, Austria

    Milan Stehlík

  2. Department of Statistics and Actuarial Science, The University of Iowa, Iowa City, Iowa, USA

    Milan Stehlík

  3. Departamento de Matemáticas, Universidad de Tarapacá (UTA), Arica, Chile

    Mirtha Pari Ruiz

  4. Universidad de Playa Ancha, Valparaíso, Chile

    Mirtha Pari Ruiz

  5. Institute of Statistics, University of Valparaíso, Valparaíso, Chile

    Mirtha Pari Ruiz

  6. Department of Applied Statistics and Linz Institute of Technology, Johannes Kepler University Linz, Linz, Austria

    Silvia Stehlíková

  7. Department of Biomedical Data Science, Stanford University, California, USA

    Ying Lu

Authors
  1. Milan Stehlík
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  2. Mirtha Pari Ruiz
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  3. Silvia Stehlíková
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  4. Ying Lu
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Corresponding author

Correspondence to Ying Lu .

Editor information

Editors and Affiliations

  1. Department of Financial Engineering, Princeton University, Princeton, NJ, USA

    Jianqing Fan

  2. Department of Mathematics, The University of Manchester, Manchester, UK

    Jianxin Pan

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Stehlík, M., Pari Ruiz, M., Stehlíková, S., Lu, Y. (2020). On Equidistant Designs, Symmetries and Their Violations in Multivariate Models. In: Fan, J., Pan, J. (eds) Contemporary Experimental Design, Multivariate Analysis and Data Mining. Springer, Cham. https://doi.org/10.1007/978-3-030-46161-4_14

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