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Bivariate Copula Additive Models for Location, Scale and Shape with Applications in Biomedicine

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The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

Abstract

In many biomedical applications it is worthwhile to model not only the effect that covariates have on the mean but also on other parameters of the response distribution such as variance. Moreover, it is sometimes necessary to study the association between two or more variables and how such associations may depend on certain factors or covariates. Different models of flexible regression have recently been proposed in statistical literature but in this work we will focus on the study of Copula Additive Models for Location, Scale and Shape since this novel approach permits to model the dependence of two variables through copula functions and where covariates are also modelled in a flexible manner. Lastly, the benefits of using these models with real biomedical data will be illustrated.

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Author information

Authors and Affiliations

  1. Group of Biostatistics, Center for Research in Molecular Medicine and Chronic Diseases (CiMUS), University of Santiago de Compostela, La Coruña, Spain

    Jenifer Espasandín-Domínguez, Carmen Carollo-Limeres & Carmen Cadarso-Suárez

  2. Department of Statistics, Mathematical Analysis, and Optimization, University of Santiago de Compostela, La Coruña, Spain

    Luis Coladas-Uría & Oscar Lado-Baleato

  3. Clinical Epidemiology Unit, Hospital Clínico Universitario de Santiago de Compostela, La Coruña, Spain

    Francisco Gude

Authors
  1. Jenifer Espasandín-Domínguez
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  2. Carmen Carollo-Limeres
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  3. Luis Coladas-Uría
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  4. Carmen Cadarso-Suárez
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  5. Oscar Lado-Baleato
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  6. Francisco Gude
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Corresponding author

Correspondence to Jenifer Espasandín-Domínguez .

Editor information

Editors and Affiliations

  1. Liberbank, Oviedo, Spain

    Eduardo Gil

  2. Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  3. Funl Media, Oxford, United Kingdom

    Juan Gil

  4. Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

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Espasandín-Domínguez, J., Carollo-Limeres, C., Coladas-Uría, L., Cadarso-Suárez, C., Lado-Baleato, O., Gude, F. (2018). Bivariate Copula Additive Models for Location, Scale and Shape with Applications in Biomedicine. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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