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An Overview of Quantitative Continuous Compound Analysis

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Dynamics, Games and Science

Part of the book series: CIM Series in Mathematical Sciences ((CIMSMS,volume 1))

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Abstract

The application of compound tests in clinical analysis or acceptance sampling exults in resource savings. Furthermore, quantitative compound tests allow to infer whether the amount of some substance of any individual in the group is greater or lower than a prefixed threshold. However, the use of this type of tests must be done with caution to avoid having a high probability of misclassification. This work uses the weight of the tails of the underlying distribution as a measure of the adequacy of the application of continuous compounds tests.

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Acknowledgements

Research partially sponsored by national funds through the Fundação Nacional para a Ciência e Tecnologia, Portugal—FCT under the project PEst-OE/MAT/UI0006/2014.

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Authors and Affiliations

  1. School of Technology and Management, Polytechnic Institute of Leiria, CEAUL—Center of Statistics and Its Applications, Leiria, Portugal

    Rui Santos & João Paulo Martins

  2. School of Technology and Management, Polytechnic Institute of Leiria, CEAUL—Center of Statistics and Its Applications, CIIC—Computer Science and Communications Research Centre of Polytechnic Institute of Leiria, Leiria, Portugal

    Miguel Felgueiras

Authors
  1. Rui Santos
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  2. João Paulo Martins
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  3. Miguel Felgueiras
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Corresponding author

Correspondence to Rui Santos .

Editor information

Editors and Affiliations

  1. IHES Le Bois-Marie, Bures-sur-Yvette, France

    Jean-Pierre Bourguignon

  2. Department of Mathematics, ETH Zürich; Seminar für Angewandte Mathematik, Zürich, Switzerland

    Rolf Jeltsch

  3. Department of Mathematics, University of Porto; Faculty of Sciences, Porto, Portugal

    Alberto Adrego Pinto

  4. Instituto de Matemática Pura e Aplicada, IMPA, Rio de Janeiro, Rio de Janeiro, Brazil

    Marcelo Viana

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Santos, R., Martins, J.P., Felgueiras, M. (2015). An Overview of Quantitative Continuous Compound Analysis. In: Bourguignon, JP., Jeltsch, R., Pinto, A., Viana, M. (eds) Dynamics, Games and Science. CIM Series in Mathematical Sciences, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-16118-1_35

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