Environmental Applications Based on Birnbaum–Saunders Models

  • Víctor Leiva
  • Helton Saulo


We discuss some environmental applications of methodologies based on the Birnbaum–Saunders model, which is an asymmetrical statistical distribution that is being widely considered to describe data collected in earth sciences. We present a formal justification, by means of the proportionate effect law, to use the Birnbaum–Saunders model as a useful distribution for environmental and regional variables. The methodologies discussed in this work include exceedance probabilities, X-bar control charts, np control charts, and spatial models. Applications with real-world environmental data sets are carried out for each discussed methodology.



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


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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.School of Industrial EngineeringPontificia Universidad católica de ValparaísoValparaísoChile
  2. 2.Department of StatisticsUniversity of BrasiliaBrasiliaBrazil

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