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Monitoring Environmental Risk by a Methodology Based on Control Charts

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Theory and Practice of Risk Assessment

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 136))

Abstract

We propose a methodology based on control charts when the contaminant concentration follows a Birnbaum-Saunders distribution, which is implemented in the R software. We investigate the performance of this methodology through Monte Carlo simulations. An example with real-world data is given as an illustration of the proposed methodology.

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Acknowledgments

The authors wish to thank the Editors of the volume “Risk Assessment Challenges: Theory and Practice” of Springer Proceedings in Mathematics and Statistics, Dr. Christos Kitsos and Dr. Teresa A. Oliveira, and three anonymous referees for their constructive comments on an earlier version of this manuscript which resulted in this improved version. This research was partially supported by FONDECYT 1120879 grant from Chile, and by CAPES, CNPq and FACEPE grants from Brazil. H. Saulo thanks Universidade Federal de Goiás from Brazil for supporting this research.

Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade Federal de Goiás, Goiania, Brazil

    Helton Saulo

  2. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Padre Hurtado 750, Oficina A-215, Viña del Mar, Chile

    Victor Leiva

  3. CNR IMATI, Milano, Italy

    Fabrizio Ruggeri

Authors
  1. Helton Saulo
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  2. Victor Leiva
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  3. Fabrizio Ruggeri
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Corresponding author

Correspondence to Victor Leiva .

Editor information

Editors and Affiliations

  1. Technological Educational Institute of Athens, Athens, Greece

    Christos P. Kitsos

  2. Universidade Aberta, Palácio Ceia, Lisbon, Portugal

    Teresa A. Oliveira

  3. Democritus University, Thrace, Germany

    Alexandros Rigas

  4. Florida International University, Miami, Florida, USA

    Sneh Gulati

Appendix

Appendix

1.1 A1: Basic Functions of the bssum and gbs packages (see Table 4)

Table 4 Basic functions of the indicated package
Full size table

1.2 A2: pH levels for 5 Rivers (Ri) in New Zealand (see Table 5)

Table 5 pH levels for the indicated river and date in New Zealand pp.135–138 [24]
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Saulo, H., Leiva, V., Ruggeri, F. (2015). Monitoring Environmental Risk by a Methodology Based on Control Charts. In: Kitsos, C., Oliveira, T., Rigas, A., Gulati, S. (eds) Theory and Practice of Risk Assessment. Springer Proceedings in Mathematics & Statistics, vol 136. Springer, Cham. https://doi.org/10.1007/978-3-319-18029-8_14

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