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Multivariate Generalized Birnbaum-Saunders Models Applied to Case Studies in Bio-Engineering and Industry

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Book cover Recent Studies on Risk Analysis and Statistical Modeling

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

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Abstract

Birnbaum-Saunders models are receiving considerable attention in the literature. Multivariate regression models are a useful tool in the multivariate analysis, which takes into account the correlation between variables. Diagnostic analysis is an important aspect to be considered in the statistical modeling. In this work, we formulate a statistical methodology based on multivariate generalized Birnbaum-Saunders regression models and their diagnostics. We implement the obtained results in the R software, which are illustrated with two real-world multivariate data sets related to case studies in bio-engineering and industry to show their potential applications.

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Acknowledgements

The authors thank the editors and reviewers for their constructive comments on an earlier version of this manuscript. This research work was partially supported by FONDECYT 1160868 grant from the Chilean government.

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Authors and Affiliations

  1. School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile

    Víctor Leiva

  2. Faculty of Basic Sciences, Universidad Católica del Maule, Talca, Chile

    Carolina Marchant

Authors
  1. Víctor Leiva
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  2. Carolina Marchant
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Corresponding author

Correspondence to Víctor Leiva .

Editor information

Editors and Affiliations

  1. Universidade Aberta, Lisboa, Portugal

    Teresa A. Oliveira

  2. Department of Informatics, Technological Educational Institute of Athens, Egaleo, Greece

    Christos P. Kitsos

  3. Universidade Aberta, Lisboa, Portugal

    Amílcar Oliveira

  4. Unidade Dept de Matematica e Fisica, Instituto Politécnico de Tomar, Tomar, Portugal

    Luís Grilo

Appendix: Bio-Engineering and Industry Data Sets

Appendix: Bio-Engineering and Industry Data Sets

See Tables 4 and 5.

Table 4 CT scan data to study the bone quality
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Table 5 Fatigue data for the indicated variable
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Leiva, V., Marchant, C. (2018). Multivariate Generalized Birnbaum-Saunders Models Applied to Case Studies in Bio-Engineering and Industry. In: Oliveira, T., Kitsos, C., Oliveira, A., Grilo, L. (eds) Recent Studies on Risk Analysis and Statistical Modeling. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-76605-8_22

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