A criterion for environmental assessment using Birnbaum-Saunders attribute control charts

Victor Leiva, Carolina Marchant, Fabrizio Ruggeri, Helton Saulo

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


Assessing environmental risk is useful for preventing adverse effects on human health in highly polluted cities. We design a criterion for environmental monitoring based on an attribute control chart for the number of dangerous contaminant levels when the concentration to be monitored follows a Birnbaum-Saunders distribution. This distribution is being widely applied to environmental data. We provide a novel justification for its usage in environmental sciences. The control coefficient and the minimum inspection concentration for the designed criterion are determined to yield the specified in-control average run length, whereas the out-of-control case is obtained according to a shift in the target mean. A simulation study is conducted to evaluate the proposed criterion, which reports its performance to provide earlier alerts of out-of-control processes. An application with real-world environmental data is carried out to validate its coherence with what is reported by the health authority.

Original languageEnglish
Pages (from-to)463-476
Number of pages14
Issue number7
StatePublished - Nov 2015
Externally publishedYes


  • Average run length
  • Inspection point
  • Moment estimation
  • Monte Carlo simulation
  • Np control chart
  • R software


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