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Environmental Applications Based on Birnbaum–Saunders Models

In: Mathematical and Statistical Applications in Life Sciences and Engineering

Author

Listed:
  • Víctor Leiva

    (Pontificia Universidad católica de Valparaíso, School of Industrial Engineering)

  • Helton Saulo

    (Pontificia Universidad católica de Valparaíso, School of Industrial Engineering
    University of Brasilia, Department of Statistics)

Abstract

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.

Suggested Citation

  • Víctor Leiva & Helton Saulo, 2017. "Environmental Applications Based on Birnbaum–Saunders Models," Springer Books, in: Avishek Adhikari & Mahima Ranjan Adhikari & Yogendra Prasad Chaubey (ed.), Mathematical and Statistical Applications in Life Sciences and Engineering, chapter 0, pages 283-304, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-5370-2_14
    DOI: 10.1007/978-981-10-5370-2_14
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