2015
DOI: 10.1007/978-3-319-18029-8_14
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Monitoring Environmental Risk by a Methodology Based on Control Charts

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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Cited by 7 publications
(4 citation statements)
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“…Control charting is well established in manufacturing [2] and has been adopted in many disciplines, including environmental monitoring, e.g., [97][98][99]. Control charts have been used in many environmental studies, including studies of water quality, air quality, sediment quality, and many others [21,30,37,41,72,[100][101][102][103][104][105][106][107][108][109][110][111].…”
Section: Discussionmentioning
confidence: 99%
“…Control charting is well established in manufacturing [2] and has been adopted in many disciplines, including environmental monitoring, e.g., [97][98][99]. Control charts have been used in many environmental studies, including studies of water quality, air quality, sediment quality, and many others [21,30,37,41,72,[100][101][102][103][104][105][106][107][108][109][110][111].…”
Section: Discussionmentioning
confidence: 99%
“…Efficient R packages have been developed by Leiva et al and Barros et al Interested readers are referred to the following articles for further reading. For different applications of the univariate BS, multivariate BS, and related distributions, one may look at the works of Ahmed et al, Aslam et al, Aslam and Kantam, Baklizi and El Masri, Balakrishnan et al, Balamurali et al, Castillo et al, Desousa et al, Garcia‐Papani et al, Gomes et al, Ismail, Kotz et al, Leiva and Marchant, Leiva and Saulo, Leiva et al, Lio and Park, Lio et al, Marchant et al, Paula et al, Podlaski, Rojas et al, Saulo et al, Upadhyay et al, Vilca et al, Villegas et al, Wanke et al, Wanke and Leiva, Wu and Tsai, Zhang et al, and the references cited therein. In a recent paper, Mohammadi et al have discussed the modeling of wind speed and wind power distributions by a BS distribution.…”
Section: Concluding Remarks and Further Readingmentioning
confidence: 99%
“…(), Marchant et al. (), and Saulo et al (). As in the LN model, and unlike the other mentioned probability models, the physical arguments of the BS model allows us to postulate it as a candidate to describe air contaminant concentrations; see details in Section 2.…”
Section: Introductionmentioning
confidence: 96%
“…The use of such charts has been expanded to other areas, including environmental and health risk assessment; see Lund and Seymour (), Manly and Mackenzie (), Grigg and Farewell (), Ferreira‐Baptista and De Miguel (), Woodall (), Morrison (), and Saulo et al. (). The power or effectiveness of a control chart is usually measured by the average run length (ARL), which is the average number of inspected samples required to advert an out‐of‐control condition after it has occurred.…”
Section: Introductionmentioning
confidence: 99%