2010
DOI: 10.1016/j.jss.2010.02.006
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A cusum change-point detection algorithm for non-stationary sequences with application to data network surveillance

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Cited by 42 publications
(8 citation statements)
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“…The RuLSIF method has demonstrated to provide very good results in identifying change-points through the assessment of a relative probability density-ratio [Fuez et al, 2015]; ii) a Cumulative Sum (CUSUM) change-point detection algorithm [Carslaw et al, 2006]. The CUSUM is one of the most popular changepoint method that has been adopted in many different research framework, such as air pollution concentration [Carslaw et al, 2006], failures of computer networks [Montes De Oca et al, 2010], functionality of animal brain activity [Koepcke et al, 2016], failures of water distribution networks [Misiunas et al, 2006]; iii) a change-point detection method that relies on the identification of changes of the mean value of the monitored system behaviour, by defining a penalty cost function [Lavielle, 2005]; iv) a change-point detection method that relies on the identification of changes of the slope of the monitored system behaviour, by using a Pruned Exact Linear Time (PELT) method [Killick et al, 2012]. The change-point methods iii) and iv), which rely on the same theoretical basis, have been chosen due to their efficiency and low computational burdensome.…”
Section: Change-point Methods: Theoretical Backgroundmentioning
confidence: 99%
“…The RuLSIF method has demonstrated to provide very good results in identifying change-points through the assessment of a relative probability density-ratio [Fuez et al, 2015]; ii) a Cumulative Sum (CUSUM) change-point detection algorithm [Carslaw et al, 2006]. The CUSUM is one of the most popular changepoint method that has been adopted in many different research framework, such as air pollution concentration [Carslaw et al, 2006], failures of computer networks [Montes De Oca et al, 2010], functionality of animal brain activity [Koepcke et al, 2016], failures of water distribution networks [Misiunas et al, 2006]; iii) a change-point detection method that relies on the identification of changes of the mean value of the monitored system behaviour, by defining a penalty cost function [Lavielle, 2005]; iv) a change-point detection method that relies on the identification of changes of the slope of the monitored system behaviour, by using a Pruned Exact Linear Time (PELT) method [Killick et al, 2012]. The change-point methods iii) and iv), which rely on the same theoretical basis, have been chosen due to their efficiency and low computational burdensome.…”
Section: Change-point Methods: Theoretical Backgroundmentioning
confidence: 99%
“…If the threshold is reached within a predefined time window then a change has been detected [ 35 ]. Some variants of CUSUM are also able to handle non-stationary sequences (where the “normal” distribution can shift) [ 36 ] and FG risk adjustment (by replacing static control limits with simulation-based dynamic probability control limits for each subject) [ 37 ].…”
Section: History Of Change Detectionmentioning
confidence: 99%
“…Jeske et al and Montes de Oca et al defined a time slot structure on the data stream and assumed that after a suitable application‐dependent transformation, the data within a time slot are independent and identically distributed (iid). Historical data are used to estimate the time slot distributions nonparametrically, and then, a CUSUM tracking statistic based on the empirical probability integral transformations is proposed.…”
Section: Monitoring Reliability Of Data Networkmentioning
confidence: 99%