Journal articles: 'Cusum'

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Yeung, Jacky, and Sherif El-Defrawy. "CUSUM." Evidence-Based Ophthalmology 12, no. 1 (January 2011): 34–35. http://dx.doi.org/10.1097/ieb.0b013e3181f43daf.

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Murgatroyd, H., U. M. Belliappa, and M. Purva. "Defending CUSUM." Anaesthesia 66, no. 8 (July 13, 2011): 745–46. http://dx.doi.org/10.1111/j.1365-2044.2011.06811_1.x.

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HAN, DONG, FUGEE TSUNG, and YANTING LI. "A CUSUM CHART WITH LOCAL SIGNAL AMPLIFICATION FOR DETECTING A RANGE OF UNKNOWN SHIFTS." International Journal of Reliability, Quality and Safety Engineering 14, no. 02 (April 2007): 81–97. http://dx.doi.org/10.1142/s0218539307002520.

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The cumulative sum (CUSUM) control chart is one of the most dominant statistical process control schemes. Despite its simplicity, its performance deteriorates when the actual mean shift is unknown. In this paper, we present an effective alternative approach called the CUSUM chart with local signal amplification (LSA-CUSUM) by amplifying or weakening local signals to improve the power of the traditional CUSUM chart in detecting an unknown mean shift over a range. Additionally, we introduce a measure for evaluating the efficiency of the LSA-CUSUM chart to detect a pre-specified mean shift range and describe a procedure to find an approximately optimal LSA-CUSUM chart over a mean shift range. Comparisons of the simulation results show that the proposed approxmated optimal LAS-CUSUM chart outperforms its traditional counterpart.

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Poetrodjojo, S., M. A. Abdollahian, and Narayan C. Debnath. "Optimal Cusum schemes for monitoring variability." International Journal of Mathematics and Mathematical Sciences 32, no. 1 (2002): 1–15. http://dx.doi.org/10.1155/s0161171202202239.

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Cumulative Sum (Cusum) Control Schemes are widely used in industry for process and measurement control. Most Cusum applications have been in monitoring shifts in the mean level of a process rather than process variability. In this paper, we study the use of Markov chain approach in calculating the average run length (ARL) of a Cusum scheme when controlling variability. Control statisticsSandS2, whereSis the standard deviation of a normal process are used. The optimal Cusum schemes to detect small and large increases in the variability of a normal process are designed. The control statisticS2is then used to show that the Cusum scheme is superior to the exponentially weighted moving average (EWMA) in terms of its ability to quickly detect any large or small increases in the variability of a normal process. It is also shown that Cusum with control statistics sample variance(S2)and sample standard deviation(S)perform uniformly better than those with control statisticlogS2. Fast initial response (FIR) Cusum properties are also presented.

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Ploberger, Werner, and Walter Krämer;. "The Local Power of the CUSUM and CUSUM of Squares Tests." Econometric Theory 6, no. 3 (September 1990): 335–47. http://dx.doi.org/10.1017/s0266466600005302.

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We consider the local power of the cusum and cusum of squares tests for structural change in the linear regression model. We show that the local power of the cusum of squares test equals its size for a wide class of structural changes, as compared to a nontrivial local power for the cusum test. The conventional ranking of these procedures is thus reversed.

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Walter, Olga Maria Formigoni Carvalho. "Aplicação individual e combinada dos gráficos de controle Shewhart e CUSUM: uma aplicação no setor metal mecânico." Gestão & Produção 20, no. 2 (June 2013): 271–86. http://dx.doi.org/10.1590/s0104-530x2013000200003.

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O presente artigo tem como objetivo analisar e controlar estatisticamente um processo industrial, em que o gráfico do tipo Shewhart é o atualmente utilizado. A partir de uma aplicação realizada por meio da pesquisa axiomática quantitativa, são analisadas outras opções como o emprego de um gráfico CUSUM e um gráfico combinado Shewhart-CUSUM. Paralelamente à aplicação dos gráficos de controle, foram desenvolvidos scripts em ambiente R para calcular os limites de controle do gráfico CUSUM, por meio da aproximação de Siegmund (1985) e da construção do gráfico combinado Shewhart-CUSUM. Os resultados demonstram que a aplicação, tanto do gráfico CUSUM quanto do gráfico combinado Shewhart-CUSUM, possibilita detectar interferências no processo, as quais não foram identificadas pelo gráfico do tipo Shewhart. Assim, considera-se o gráfico de controle CUSUM, isolado ou combinado com o gráfico do tipo Shewhart, uma ferramenta preventiva mais sensível para avaliar interferências na qualidade do processo. Este artigo será útil tanto para pesquisadores quanto para profissionais da área de Engenharia de Produção e gestão de operações interessados em melhor compreender os parâmetros que compõem o projeto de um gráfico de controle CUSUM, bem como introduzi-lo em processos nos quais atualmente se utiliza somente o gráfico de controle de Shewhart.

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ناصر, جنان عباس. "حول خصائص طول التشغيل للوحتي سيطرة ( المجموع المتراكم (Cusum) و المتوسط المتحرك الموزون اسيا (EWMA) ) لتوزيع بواسون." Journal of Economics and Administrative Sciences 25, no. 114 (October 1, 2019): 475–97. http://dx.doi.org/10.33095/jeas.v25i114.1747.

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في هذا البحث نتحرى حول خصائص طول التشغيل للوحتي سيطرة المجموع المتراكم (cumulative sum (Cusum)) والمتوسط المتحرك الموزون اسيا (Exponentially Weighted Moving Average (EWMA)) للكشف عن الانحرافات الموجبة في متوسط العملية عندما تكون العملية تتبع توزيع بواسون بمتوسط غير معلوم. وقد استعمل اسلوب سلسلة ماركوف لحساب المتوسط والانحراف المعياري لطول التشغيل للوحتي سيطرة المجموع المتراكم (Cusum) والمتوسط المتحرك الموزون اسيا (EWMA) عندما يكون المتغير تحت السيطرة يتبع توزيع بواسون. استعملت لوحتي سيطرة الـ Cusum والـ EWMA أيضا لمراقبة متوسط العملية عندما المشاهدات (منتجات اختيرت من مصنع المأمون) تكون مستقلة ومتطابقة التوزيع (iid) من توزيع بواسون بعملية تصنيع مستمرة. اذ افترضنا عدة قيم لمعلمات للوحتي سيطرة الـ poisson Cusum والـ EWMA poisson ولعدد حالات لسلسلة ماركوف. وقد استحصلت نتائج البحث باستعمال برامج مكتوبة ببرنامج Matlab -R2018a . تبين نتائج البحث بان لوحاتي سيطرة الـ poisson Cusum والـ EWMA poisson كانت حساسة أكثر عند قيم معينة لمعلمات لوحتي سيطرة الـ poisson Cusum والـ EWMA poisson. ولعدد الحالات في سلسلة ماركوف.

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Liu, Chao, Qingjie Xu, Ya Fan, Hao Wu, Jian Chen, and Peng Lin. "Detection of Abnormal Data in GNSS Coordinate Series Based on an Improved Cumulative Sum." Sustainability 15, no. 9 (April 26, 2023): 7228. http://dx.doi.org/10.3390/su15097228.

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The global navigation satellite system (GNSS), as a high-time resolution and high-precision measurement technology, has been widely used in the field of deformation monitoring. Owing to the influence of uncontrollable factors, there are inevitably some abnormal data in the GNSS monitoring series. Thus, it is necessary to detect and identify abnormal data in the GNSS monitoring series to improve the accuracy and reliability of the deformation disaster law analysis and warning. Many methods can be used to detect abnormal data, among which the statistical process control theory, represented by the cumulative sum (CUSUM), is widely used. CUSUM usually constructs statistics and determines control limits based on the threshold criteria of the average run length (ARL) and then uses the control limits to identify abnormal data in CUSUM statistics. However, different degrees of the ‘trailing’ phenomenon exist in the interval of abnormal data identified by the algorithm, leading to a higher false alarm rate. Therefore, we propose an improved CUSUM method that uses breaks for additive season and trend (BFAST) instead of ARL-based control limits to identify abnormal data in CUSUM statistics to improve the accuracy of identification. The improved CUSUM method is used to detect abnormal data in the GNSS coordinate series. The results show that compared with CUSUM, the improved CUSUM method shows stronger robustness, more accurate detection of abnormal data, and a significantly lower false alarm rate.

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Waldstein, W., P. A. Bouché, C. Pottmann, M. Faschingbauer, P. R. Aldinger, R. Windhager, and C. Merle. "Quantitative and individualized assessment of the learning curve in preoperative planning of the acetabular cup size in primary total hip arthroplasty." Archives of Orthopaedic and Trauma Surgery 141, no. 9 (March 11, 2021): 1601–8. http://dx.doi.org/10.1007/s00402-021-03848-6.

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Abstract Introduction The aim of the present study was to investigate the learning curves of 2 trainees with different experience levels to reach proficiency in preoperative planning of the cup size based on learning curve cumulative summation (LC-CUSUM) statistics and a cumulative summation (CUSUM) test. Materials and methods One-hundred-twenty patients who had undergone primary total hip arthroplasty with a cementless cup were selected. Preoperative planning was performed by an experienced orthopedic surgeon. Trainee 1 (student) and trainee 2 (resident) planned the cup size. The trainees were blinded to the preoperative plan and the definitive cup size. Only after a cup size was chosen, the trainees were unblinded to the preoperative plan of the surgeon. LC-CUSUM was applied to both trainees to determine when proficiency in determining the appropriate cup size was reached. A CUSUM test was applied to ensure retention of proficiency. Results With reference to the preoperative plan of the surgeon, LC-CUSUM indicated proficiency after 94 planning attempts for trainee 1 and proficiency after 66 attempts for trainee 2, respectively. Trainee 1 and 2 maintained proficiency thereafter. With reference to the definitive cup size, LC-CUSUM did not signal competency within the first 120 planning attempts for trainee 1. Trainee 2 was declared competent after 103 attempts and retained competency thereafter. Conclusions LC-CUSUM/CUSUM allow for an individualized, quantitative and continuous assessment of planning quality. Based on LC-CUSUM statistics, the two trainees of this study gain proficiency in planning of the acetabular cup size after 50–100 attempts when an immediate feedback is provided. Previous experience positively influences the performance. The study serves as basis for the medical education of students and residents in joint replacement procedures.

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Pazhayamadom, Deepak George, Ciarán J. Kelly, Emer Rogan, and Edward A. Codling. "Self-starting cumulative sum harvest control rule (SS-CUSUM-HCR) for status-quo management of data-limited fisheries." Canadian Journal of Fisheries and Aquatic Sciences 73, no. 3 (March 2016): 366–81. http://dx.doi.org/10.1139/cjfas-2015-0039.

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We demonstrate a harvest control rule based on the self-starting cumulative sum (SS-CUSUM) control chart that can maintain a fish stock at its starting (status-quo) level. The SS-CUSUM is an indicator monitoring tool commonly used in quality control engineering and does not require a long time series or predefined reference point for detecting temporal trends. The reference points in SS-CUSUM are calibrated in the form of running means that are updated on an ongoing basis when new observations become available. The SS-CUSUM can be initiated with as few as two observations in the time series and can be applied long before many other methods, soon after initial data become available. A wide range of stock indicators can be monitored, but in this study, we demonstrate the method using an equally weighted sum of two indicators: a recruitment indicator and a large fish indicator from a simulated fishery. We assume that no life history data are available other than 2 years of both indicator data and current harvest levels when the SS-CUSUM initiates. The signals generated from SS-CUSUM trigger a harvest control rule (SS-CUSUM-HCR), where the shift that occurs in the indicator time series is computed and is used as an adjustment factor for updating the total allowable catch. Our study shows that the SS-CUSUM-HCR can maintain the fish stock at its starting status-quo level (even for overfished initial states) but has limited scope if the fishery is already in an undesirable state such as a stock collapse. We discuss how the SS-CUSUM approach could be adapted to move beyond a status-quo management strategy, if additional information on the desirable state of the fishery is available.

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Engmann, Gideon Mensah, and Dong Han. "Multichart Schemes for Detecting Changes in Disease Incidence." Computational and Mathematical Methods in Medicine 2020 (May 15, 2020): 1–14. http://dx.doi.org/10.1155/2020/7267801.

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Several methods have been proposed in open literatures for detecting changes in disease outbreak or incidence. Most of these methods are likelihood-based as well as the direct application of Shewhart, CUSUM and EWMA schemes. We use CUSUM, EWMA and EWMA-CUSUM multi-chart schemes to detect changes in disease incidence. Multi-chart is a combination of several single charts that detects changes in a process and have been shown to have elegant properties in the sense that they are fast in detecting changes in a process as well as being computationally less expensive. Simulation results show that the multi-CUSUM chart is faster than EWMA and EWMA-CUSUM multi-charts in detecting shifts in the rate parameter. A real illustration with health data is used to demonstrate the efficiency of the schemes.

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Adeoti, Olatunde Adebayo, and Kayode Samuel Adekeye. "Generalized Gamma-CUSUM control chart with application of COVID-19 deaths." PLOS ONE 18, no. 2 (February 2, 2023): e0281360. http://dx.doi.org/10.1371/journal.pone.0281360.

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The increase in the number of infections and the worrisome state of mortality linked to the COVID-19 pandemic demand an optimal statistical model and efficient monitoring scheme to analyze the deaths. This paper aims to model the COVID-19 mortality in Nigeria using four non-normal distributions grouped under the generalized gamma distribution, by specifying the best-fit distribution to model the number of deaths linked to the COVID-19 pandemic. In addition, a control chart to monitor the COVID-19 deaths based on the best-fit distribution is proposed. The performance of the proposed Gamma-CUSUM chart as a monitoring scheme was compared with the standard normal-CUSUM chart. The results revealed that the Gamma-CUSUM chart first signals a change in the number of deaths on day 68 while there was no change in the number of deaths for the standard normal-CUSUM chart. Also, the exact point of change was visible on the Gamma-CUSUM chart which was impossible on a standard normal-CUSUM control chart.

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Biau, D., and R. Porcher. "LC-CUSUM test." Anaesthesia 65, no. 7 (April 7, 2010): 755–56. http://dx.doi.org/10.1111/j.1365-2044.2010.06399.x.

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Resti, Aulia, Tatik Widiharih, and Rukun Santoso. "GRAFIK PENGENDALI MIXED EXPONENTIALLY WEIGHTED MOVING AVERAGE – CUMULATIVE SUM (MEC) DALAM ANALISIS PENGAWASAN PROSES PRODUKSI (Studi Kasus : Wingko Babat Cap “Moel”)." Jurnal Gaussian 10, no. 1 (February 28, 2021): 114–24. http://dx.doi.org/10.14710/j.gauss.v10i1.30938.

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Quality control is an important role in industry for maintain quality stability. Statistical process control can quickly investigate the occurrence of unforeseen causes or process shifts using control charts. Mixed Exponentially Weighted Moving Average - Cumulative Sum (MEC) control chart is a tool used to monitor and evaluate whether the production process is in control or not. The MEC control chart method is a combination of the Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) charts. Combining the two charts aims to increase the sensitivity of the control chart in detecting out of control. To compare the sensitivity level of the EWMA, CUSUM, and MEC methods, the Average Run Length (ARL) was used. From the comparison of ARL values, the MEC chart is the most sensitive control chart in detecting out of control compared to EWMA and CUSUM charts for small shifts. Keywords: Grafik Pengendali, Exponentially Weighted Moving Average, Cumulative Sum, Mixed EWMA-CUSUM, Average Run Lenght, EWMA, CUSUM, MEC, ARL

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Teng, Hualiang(Harry), Yi(Grace) Qi, and David R. Martinelli. "Developed Incident Detection Algorithm Compared with Neural Network Algorithms." Transportation Research Record: Journal of the Transportation Research Board 1836, no. 1 (January 2003): 83–92. http://dx.doi.org/10.3141/1836-11.

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The CUSUM (cumulative sum of log-likelihood ratio) algorithm is an optimization-based algorithm that is attractive for many applications because it can minimize detection delay and can explicitly incorporate the characteristics of processes before and after changes. One such application is freeway incident detection, where field-measurable traffic-flow parameters are used to flag incidents in real time in an expedient and reliable manner. In the presented study, the special characteristics of traffic processes associated with incidents are incorporated into the CUSUM algorithm for freeway incident detection. In the algorithm evaluation, the most recently developed neural networks are compared with an enhanced CUSUM algorithm. The neural network algorithms are systematically evaluated first among themselves, and then the best of them is compared with the CUSUM algorithm. The results demonstrate that the CUSUM incident detection algorithm can perform better than the neural network algorithms. The neural network algorithm may show inferior performance because it cannot adjust its decision threshold in real time.

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Midi, Habshah, and Ashkan Shabbak. "Robust Multivariate Control Charts to Detect Small Shifts in Mean." Mathematical Problems in Engineering 2011 (2011): 1–19. http://dx.doi.org/10.1155/2011/923463.

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The classical multivariate CUSUM and EWMA charts are commonly used to detect small shifts in the mean vectors. It is now evident that those charts are easily affected by outliers which may be due to small or moderate changes in the mean vector. In this paper, we propose a robust multivariate CUSUM and Robust multivariate EWMA charts to remedy the problem of small changed in scatter outliers. Both the empirical and simulation results indicate that the proposed robust multivariate CUSUM and EWMA charts offer substantial improvement over other multivariate CUSUM and EWMA charts. This article also discussed the robustness of the proposed charts, when there is a small or moderate sustained shift in the data set.

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Rasheed, Zahid, Hongying Zhang, Syed Masroor Anwar, and Babar Zaman. "Homogeneously Mixed Memory Charts with Application in the Substrate Production Process." Mathematical Problems in Engineering 2021 (October 14, 2021): 1–15. http://dx.doi.org/10.1155/2021/2582210.

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The cumulative sum (CUSUM) and the exponentially weighted moving average (EWMA) charts are renowned classical memory charts used to monitor small and moderate shifts in the process(s). Mixed memory charts like mixed EWMA-CUSUM (MEC) and mixed CUSUM-EWMA (MCE) are the advanced forms of classical memory charts used to identify shifts quickly in process parameters (location and/or dispersion). Similarly, the homogeneously weighted moving average (HWMA) chart is used for improved process monitoring. It will be worthwhile to combine the HWMA chart features with the existing mixed memory (MCE and MEC) charts to enhance the effectiveness of the mixed memory charts. Therefore, we proposed new charts: mixed HWMA-homogeneously CUSUM (MHWHC) and mixed homogeneously CUSUM-HWMA (MHCHW) charts. The Monte Carlo simulations are used to evaluate the proposed charts’ effectiveness. The average run length (ARL) is utilized to compare the proposed MHWHC and MHCHW charts’ performance with existing charts such as classical CUSUM and EWMA, MEC, MCE, and HWMA charts. The comparison revealed that the proposed mixed charts are superior to the existing counterparts, specifically monitoring small and moderate shifts. Finally, a real-life application using the manufacturing process’s data set is also provided from a practical point of view.

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Li, Rong, Jing Li, and Jian Liu. "Body Welding Quality Control Based on a CUSUM Control Chart." Advanced Materials Research 228-229 (April 2011): 1080–84. http://dx.doi.org/10.4028/www.scientific.net/amr.228-229.1080.

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Aiming at the situation in some Chinese auto companies that the workload of body welding quality inspection is high and the sample size is extremely small, a brand-new CUSUM Control Chart for variance monitoring is proposed in the paper to realize the effective quality control in body welding variance, whose principle is to use variance statistics based on Queensberry transformation Φ-1(G((n-1) St2/σ02)) to monitor infinitely small variances in the process of body welding. Evaluation instance results show that, compared with traditional CUSUM control chart, EWMA control chart and weighted CUSUM control chart, the proposed CUSUM control chart based on variance monitoring is more sensitive to the abnormal variation fluctuation and can detect the abnormity of quality variation earlier.

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McCabe, B. P. M. "A Multiple Decision Theory Analysis of Structural Stability in Regression." Econometric Theory 4, no. 3 (December 1988): 499–508. http://dx.doi.org/10.1017/s0266466600013414.

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Using the theory of multiple decisions, this paper conducts an analysis of structural stability in location and variance for the linear-regression model. It shows that both cusum and cusum-of-squares techniques are in certain senses optimal. However, the same tests are optimal for changes in location and variance. It is also shown that there is an inherent contradiction between the use of recursive residuals and cusum techniques. The concept of a localized Bayes rule is introduced.

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Schutz, Hannah M., Rutger Quispel, Bart J. Veldt, Frank M. M. Smedts, Marie-Paule G. F. Anten, Klaas J. Hoogduin, Pieter Honkoop, et al. "Cumulative sum learning curves guiding multicenter multidisciplinary quality improvement of EUS-guided tissue acquisition of solid pancreatic lesions." Endoscopy International Open 10, no. 04 (April 2022): E549—E557. http://dx.doi.org/10.1055/a-1766-5259.

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Abstract Background and study aims In this study, we evaluated the performance of community hospitals involved in the Dutch quality in endosonography team regarding yield of endoscopic ultrasound (EUS)-guided tissue acquisition (TA) of solid pancreatic lesions using cumulative sum (CUSUM) learning curves. The aims were to assess trends in quality over time and explore potential benefits of CUSUM as a feedback-tool. Patients and methods All consecutive EUS-guided TA procedures for solid pancreatic lesions were registered in five community hospitals between 2015 and 2018. CUSUM learning curves were plotted for overall performance and for performance per center. The American Society of Gastrointestinal Endoscopy-defined key performance indicators, rate of adequate sample (RAS), and diagnostic yield of malignancy (DYM) were used for this purpose. Feedback regarding performance was provided on multiple occasions at regional interest group meetings during the study period. Results A total of 431 EUS-guided TA procedures in 403 patients were included in this study. The overall and per center CUSUM curves for RAS improved over time. CUSUM curves for DYM revealed gradual improvement, reaching the predefined performance target (70 %) overall, and in three of five contributing centers in 2018. Analysis of a sudden downslope development in the CUSUM curve of DYM in one center revealed temporary absence of a senior cytopathologist to have had a temporary negative impact on performance. Conclusions CUSUM-derived learning curves allow for assessment of best practices by comparison among peers in a multidisciplinary multicenter quality improvement initiative and proved to be a valuable and easy-to-interpret means to evaluate EUS performance over time.

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Wu, Yanhong. "Estimation of Change-point and Post-change Parameters after Adaptive Sequential CUSUM Test in an Exponential Family." International Journal of Statistics and Probability 5, no. 5 (August 15, 2016): 43. http://dx.doi.org/10.5539/ijsp.v5n5p43.

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In this paper, we consider an adaptive sequential CUSUM procedure in an exponential family where the change-point and post-change parameters are estimated adaptively. It is shown that the adaptive CUSUM procedure is efficient at the first order. The conditional biases of the estimation for the change-point and post-change parameter are studied. Comparison with the classical CUSUM procedure in the normal case is made. Nile river flow and average global temperature data sets are used for demonstration.

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Acharya, Anshuman, and Vinay L. Kashyap. "Spectral Fit Residuals as an Indicator to Increase Model Complexity." Research Notes of the AAS 8, no. 1 (January 3, 2024): 1. http://dx.doi.org/10.3847/2515-5172/ad18b5.

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Abstract Spectral fitting of X-ray data usually involves minimizing statistics like the chi-square and the Cash statistic. Here we discuss their limitations and introduce two measures based on the cumulative sum (CuSum) of model residuals to evaluate whether model complexity could be increased: the percentage of bins exceeding a nominal threshold in a CuSum array (pctCuSum), and the excess area under the CuSum compared to the nominal (p area). We demonstrate their use with an application to a Chandra ACIS spectral fit.

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Engler, J., K. H. Tölle, H. H. Timm, E. Hohls, and J. Krieter. "Control charts applied to pig farming data." Archives Animal Breeding 52, no. 3 (October 10, 2009): 272–83. http://dx.doi.org/10.5194/aab-52-272-2009.

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Abstract. Statistical control charts are effective tools to reveal changes in a production process. The CUSUM (cumulative sum) and the EWMA (exponentially weighted moving average) control chart are used to detect small deviations in a process. Data from two sow herds, herd A and herd B, were collected from 1999 to 2004. Farm A had an average number of 530 breeding sows, Farm B had an average of 370 breeding sows. Both herds were diagnosed with Porcine Reproductive and Respiratory Syndrome (PRRS). The weekly means of the number of piglets weaned (NPW), the pre-weaning mortality (PWM) and return to service rate (RSR) were analysed with different settings of the CUSUM as well as the EWMA control chart to reveal a shift in the production process. For the pre-weaning mortality and the number of piglets weaned, the two charts detected a change in the process 4 weeks (Farm A) and 2 weeks before (Farm B) PRRS was diagnosed. The CUSUM and the EWMA chart revealed a shift in the return to service rate on Farm A 3.5 months before PRRS was detected. On Farm B, the signal occurred 6 weeks before the infection was detected. The CUSUM and the EWMA control charts were effective tools for detecting small deviations in sow herd data. Compared with EWMA, the use of the CUSUM chart is more straightforward and the settings are more easily handled. The CUSUM chart is therefore the preferred option for use in practice.

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Arslan, Muhammad, Muhammad Azeem Ashraf, Syed Masroor Anwar, Zahid Rasheed, Xuelong Hu, and Saddam Akbar Abbasi. "Novel Mixed EWMA Dual-Crosier CUSUM Mean Charts without and with Auxiliary Information." Mathematical Problems in Engineering 2022 (March 29, 2022): 1–15. http://dx.doi.org/10.1155/2022/1362193.

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The classical cumulative SUM (CUSUM) chart is commonly used to monitor a particular size of the mean shift. In many real processes, it is assumed that the shift level varies within a range, and the exact level of the shift size is mostly unknown. For detecting a range of shift size, the dual-CUSUM (DC) and dual-Crosier CUSUM (DCC) charts are used to provide better detection ability as compared to the CUSUM and Crosier CUSUM (CC) charts, respectively. This paper introduces a new mixed exponentially weighted moving average (EWMA)-DCC (EDCC) chart to monitor process mean. In addition, AIB-based EWMA-DC (EDC) and EDCC charts (namely, AIB-EDC and AIB-EDCC charts) are suggested to detect shifts in the process mean level. Monte Carlo simulations are used to compute the run length (RL) characteristics of the proposed charts. A detailed comparison of the proposed schemes with other competing charts is also provided. It turns out that the proposed chart provides better performance than the counterparts when detecting a range of mean shift sizes. A real-life application is also presented to illustrate the implementation of the existing and proposed charts.

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Park, Jae, Jun Lee, Jae Won Cho, and Jong Yoon. "The Learning Curve of Robotic Thyroid Surgery and the Avoidance of Temporary Hypoparathyroidism after Total Thyroidectomy and Concomitant Central Compartment Node Dissection: A Single Surgeon’s Experience." Applied Sciences 9, no. 13 (June 26, 2019): 2594. http://dx.doi.org/10.3390/app9132594.

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The aim of this study was to evaluate the learning curve of robotic thyroid surgery with regard to both operation time and temporary hypoparathyroidism using quantitative statistical analysis. A total of 194 patients who underwent total thyroidectomy and concomitant central compartment node dissection for papillary thyroid carcinoma by a single surgeon between December 2008 and September 2017 were enrolled. The learning curve for operation time was assessed using the cumulative sum (CUSUM) technique, and the number of procedures required to reduce the incidence of temporary hypoparathyroidism to less than 30% was determined using the CUSUM and risk-adjusted CUSUM (RA-CUSUM) techniques. The learning curve for operation time was divided into three phases: phase 1 (the initial learning period, 1st–19th cases), phase 2 (the challenging period, 20th–121st cases), and phase 3 (the competent phase, 122nd–194th cases). To reduce the incidence of temporary hypoparathyroidism to <30% required 119 cases, and after adjustment for potential risk factors by RA-CUSUM analysis this extended to 173 cases. Technical proficiency for robotic thyroid surgery with respect to the avoidance of surgical complications probably requires a longer learning period than that required for operation time.

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Muhammad Hidayat, Linda Wijayanti, Lukas, Sandra Octaviani, and Wahyudi Faris. "Analisis Titik Rawan Kecelakaan Lalu Lintas Pada Jalan Arteri Primer Kabupaten Sukabumi." Jurnal TESLINK : Teknik Sipil dan Lingkungan 5, no. 2 (October 1, 2023): 203–14. http://dx.doi.org/10.52005/teslink.v5i2.304.

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Jalan arteri primer Kabupaten Sukabumi merupakan jalan yang cukup sibuk karena terdapat beberapa pasar tradisional dan juga pabrik-pabrik yang lokasinya tepat dipinggiran jalan nasional, jumlah kendaraan bermotor yang terus meningkat juga menjadi faktor yang mempengaruhi angka kecelakaan lalu lintas yang tinggi. Tujuan dari penelitian ini untuk menegetahui dimana Titik rawan kecelakaan (Black Spot) di Jalan Arteri Primer Kabupaten Sukabumi, mengetahui permasalahan klasifikasi jalan dan fasilitas jalan yang dapat menjadi penyebab kecelakaan lalu lintas di lokasi blackspot, dan memberikan solusi guna memperbaiki masalah yang ditemunkan pada lokasi black spot. Penelitian ini menggunakan metode EAN dan BKA untuk mengidentifikasi Blacksite berdasarkan jumlah korban, dan metode Z- Score untuk mengidentifikasi Blacksite berdasarkan jumlah kecelakaan. Setelah Blacksite teridentifikasi kemudian dilakukan identifikasi Blackspot dengan menggunakan metode Cusum. Hasil identifikasi Titik Rawan Kecelakaan dengan metode Cusum mengidentifikasi STA 2 pada Segmen 5 dengan nilai Cusum 8,33, kemudian STA 1 pada segmen 10 dengan nilai Cusum 9,17, dan terakhir STA 5 pada segmen 12 dengan nilai Cusum 6,66. Hasil temuan masalah pada lokasi Blackspot yaitu minimnya rambu-rambu keselamatann jalan, dan juga kurang terawatnya marka-marka jalan yang ada. Diharapkan pemerintah maupun lembaga terkait meperbaiki permasalahan-permasalahan yang ada guna meminimalisir kemungkinan terjadinya kecelakaan.

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Khalil, Umair, Tahira Saeed Khan, Walaa Ahmad Hamdi, Dost Muhammad Khan, and Muhammad Hamraz. "A robust cusum control chart for median absolute deviation based on trimming and winsorization." PLOS ONE 19, no. 5 (May 29, 2024): e0297544. http://dx.doi.org/10.1371/journal.pone.0297544.

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Statistical quality control is concerned with the analysis of production and manufacturing processes. Control charts are process control techniques, commonly applied to observe and control deviations. Shewhart control charts are very sensitive and used for large shifts based on the basic assumption of normality. Cumulative Sum (CUSUM) control charts are effective for identifying that may have special causes, such as outliers or excessive variability in subgroup means. This study uses a CUSUM control chart problems structure to evaluate the performance of robust dispersion parameters. We investigated the design structure features of various control charts, based on currently defined estimators and some new robust scale estimators using trimming and winsorization in different scenarios. The Median Absolute Deviation based on trimming and winsorization is introduced. The effectiveness of CUSUM control charts based on these estimators is evaluated in terms of average run length (ARL) and Standard Deviation of the Run Length (SDRL) using a simulation study. The results show the robustness of the CUSUM chart in observing small changes in magnitude for both normal and contaminated data. In general, robust estimators MADTM and MADWM based on CUSUM charts outperform in all environments.

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Annapurna, N., Dr P. Mohammed Akhtar, Dr G. Venkatesulu, and Dr S. Dhanunjaya. "The Continuous Acceptance Sampling of Truncated Frechet Distribution Based on CUSUM Schemes." International Journal for Research in Applied Science and Engineering Technology 10, no. 4 (April 30, 2022): 3261–67. http://dx.doi.org/10.22214/ijraset.2022.42058.

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Abstract: Acceptance sampling plans were evaluated to draw valid conclusions regarding lots of finished products. Based on the assumption that the variable under consideration is distributed according to a Frechet distribution, CASP-CUSUM schemes are presented here for optimizing Type-C OC curves and ARLs. The Truncated Frechet distribution, its Type-C OC curve values, and ARL values at different shapes parameters were determined under this assumption. Finally, we determined an optimal CASP-CUSUM scheme that maximizes PA. Keywords: CASP – CUSUM Schemes, Type-C OC curves, ARL Values, Truncated Frechet distribution.

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Ling, Jin, Xiao-qin Li, Wen-zhi Yang, and Jian-ling Jiao. "The CUSUM statistic of change point under NA sequences." Applied Mathematics-A Journal of Chinese Universities 36, no. 4 (October 2021): 512–20. http://dx.doi.org/10.1007/s11766-021-4015-z.

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AbstractIn this paper, we investigate the CUSUM statistic of change point under the negatively associated (NA) sequences. By establishing the consistency estimators for mean and covariance functions respectively, the limit distribution of the CUSUM statistic is proved to be a standard Brownian bridge, which extends the results obtained under the case of an independent normal sample and the moving average processes. Finally, the finite sample properties of the CUSUM statistic are given to show the efficiency of the method by simulation studies and an application on a real data analysis.

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Barone-Adesi, Giovanni, and Prem P. Talwar. "Stationarity Tests of the Market Model for Security Returns." Journal of Accounting, Auditing & Finance 7, no. 3 (July 1992): 369–78. http://dx.doi.org/10.1177/0148558x9200700310.

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This paper shows by simulation that the cusum-of-squares test rejects stationarity of security returns too often when residual returns are nonnormal and/or heteroscedastic. An alternative test, suggested by Farley, Hinich, and McGuire [12], appears to be more powerful and robust than the cusum-of-squares test. The Farley-Hinich test finds only a small number of securities for which the slope or the intercept of the market model are nonstationary, suggesting that the cusum-of-squares test results may reflect the departures of residual returns from the ideal test assumptions.

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Carpenter, T. E. "Evaluation and Extension of the Cusum Technique with an Application to Salmonella Surveillance." Journal of Veterinary Diagnostic Investigation 14, no. 3 (May 2002): 211–18. http://dx.doi.org/10.1177/104063870201400304.

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The cumulative sum (cusum) technique was examined for its use in a disease surveillance system for detecting temporal clusters of events. Optimal technique parameters were derived for scenarios not previously considered. Simulation modeling produced results that evaluated deviations from predefined rate increases. The cusum technique was less prone to false alarms and more efficient at detecting large rate increases than previously reported. As demonstrated using data obtained from a Salmonella surveillance system operated by a state animal diagnostic laboratory system, the cusum technique could provide early warning of an epidemic problem.

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Johan Wiklund, Stig. "Parabolic cusum control charts." Communications in Statistics - Simulation and Computation 26, no. 1 (January 1997): 107–23. http://dx.doi.org/10.1080/03610919708813370.

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Nazir, Hafiz Zafar, Muhammad Riaz, Ronald J. M. M. Does, and Nasir Abbas. "Robust CUSUM Control Charting." Quality Engineering 25, no. 3 (July 2013): 211–24. http://dx.doi.org/10.1080/08982112.2013.769057.

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Parry, Bryan R. "CUSUM: TIMELY AND TRENDY." ANZ Journal of Surgery 77, no. 7 (July 2007): 523. http://dx.doi.org/10.1111/j.1445-2197.2007.04157.x.

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Cheng, Smiley W., and Keoagile Thaga. "Multivariate Max-CUSUM Chart." Quality Technology & Quantitative Management 2, no. 2 (January 2005): 221–35. http://dx.doi.org/10.1080/16843703.2005.11673095.

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Lee, Eun-Kyung, Sung-Hoon Hong, and Yoon-Dong Lee. "Design of Variance CUSUM." Korean Journal of Applied Statistics 22, no. 6 (December 31, 2009): 1131–42. http://dx.doi.org/10.5351/kjas.2009.22.6.1131.

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Abbasi, Saba, and Abdul Haq. "Optimal CUSUM and adaptive CUSUM charts with auxiliary information for process mean." Journal of Statistical Computation and Simulation 89, no. 2 (November 20, 2018): 337–61. http://dx.doi.org/10.1080/00949655.2018.1548619.

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Yi, Ting-Hua, Hong-Nan Li, Gangbing Song, and Qing Guo. "Detection of Shifts in GPS Measurements for a Long-Span Bridge Using CUSUM Chart." International Journal of Structural Stability and Dynamics 16, no. 04 (March 28, 2016): 1640024. http://dx.doi.org/10.1142/s0219455416400241.

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Timely and correctly evaluating the quality of Global Positioning System (GPS) data is essential for reduction in the number of false alarms and missed detection of a GPS-based bridge deformation monitoring system. This paper investigates how to use the statistical process control technique, known as the cumulative sum (CUSUM) chart, for the detection of small but persistent shifts in the high-rate GPS carrier-phase measurements. First, a mathematical model for the shift detection based on the continuous hypothesis testing is established. The main features and implementation procedure of the CUSUM chart for the shift detection are then summarized, and the corresponding parameter selection method is discussed in detail. To meet the normality requirement of the CUSUM chart, a novel method that transfers the data to the Q-statistic by the estimated cumulative distribution functions is proposed according to the probability integral transform theory. This is followed by a simulation carried out to evaluate the detection performance of the CUSUM chart and exploit its advantages to the commonly used Shewhart chart for the high-rate GPS monitoring data with different shift sizes. Experimental results have showed that the CUSUM chart is sensitive to small persistent shifts compared to the Shewhart chart although it has a delay problem. The integration of CUSUM chart and Shewhart chart would be a reliable approach for the shift detection. Finally, an on-site dynamic monitoring experiment is carried out on a long-span bridge to validate the proposed approach’s effectiveness in detecting an actual deformation shift, and the experimental results proved to be very encouraging.

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McLaren, Patrick James, Kyle D. Hart, James P. Dolan, and John G. Hunter. "CUSUM analysis of mortality following esophagectomy to allow for identification and intervention of quality problems." Journal of Clinical Oncology 35, no. 4_suppl (February 1, 2017): 203. http://dx.doi.org/10.1200/jco.2017.35.4_suppl.203.

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203 Background: CUSUM analysis is an analytic tool for monitoring institutional quality and clinical outcomes. CUSUM is a summative plot of an event that occurs over time. The slope that is generated can be used to determine rates of occurrence and deviations from an accepted rate. CUSUM can be used to monitor mortality rates following esophagectomy. Methods: A single institution prospectively maintained esophageal disease registry was used to construct CUSUM plots for in-hospital and 30-day mortality. All patients undergoing esophagectomy with reconstruction from 1995-2015 were included for analysis. Time points that deviated from an accepted mortality rate of 5% were evaluated for cause analysis. Results: From 1995-2015, 485 esophagectomies were performed with a cumulative in-hospital mortality rate of 4.7%. In 2008 our institution shifted to a primarily minimally invasive approach. Prior to March 2008 in-hospital mortality was 7.4%. After this time, in-hospital mortality was 2.1%, corresponding with a decreased slope of the CUSUM plot. A second period was investigated from September 2012-October 2012. Eight esophagostomies were performed with 3 deaths for a 37.5% mortality rate. All 3 patients were deaths related to ARDS and multisystem organ failure; this prompted an institutional epidemiologic investigation, as well as review of our enhanced esophageal recovery pathway. Since this time frame in-hospital mortality has been 1%. Conclusions: CUSUM analysis offers a useful observational tool to monitor institutional quality following esophagectomy. Investigations into mortality can identify quality problems and can lead to implementation of improved process measures that may lead to improved future outcomes.

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Chang, An Pi, Jyh Dong Lin, Chien Cheng Chou, and Chen Yu Hsu. "A Study on Incorporating the Tabular CUSUM and Shewhart Control Chart to Monitor Road Surface Quality." Advanced Materials Research 723 (August 2013): 782–89. http://dx.doi.org/10.4028/www.scientific.net/amr.723.782.

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In this article, the Tabular CUSUM (Cumulative Sum) Charts statistic method is employed to analyze the strength quality control of ready-mixed concrete for rigid pavement, for which the CUSUM is also used to analyze and monitor the micro changes of process mean for the strength of the ready-mixed concrete. The result of analytical study supports that the CUSUM statistical analysis skill is more sensitive than the Shewhart Control Chart in terms of designed mixing ratio parameter, water-cement ratio, and admixtures analyzed under the same concrete strength. When micro changes are presented in continuous mean strength value of the ready-mixed concrete, it can detect the continual changes of the concrete quality in a more accurate way. By combining the CUSUM statistical analysis and Shewhart Control Chart, higher accuracy of the quality control analysis could even be achieved in order the enhance quality control performance when pouring the ready-mix concrete on rigid pavement.

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Nguyen, Duc Duong, Minh Thuy Le, and Thanh Long Cung. "The ability to detect the linear attack of WL-CUSUM and FMA algorithms." Bulletin of Electrical Engineering and Informatics 12, no. 1 (February 1, 2023): 131–40. http://dx.doi.org/10.11591/eei.v12i1.4400.

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The problem of detecting linear attacks on industrial systems is presented in this paper. The object is attacked by linear attack is the wireless communication process from sensors to controller with simulated mathematical model (stochastic dynamical systems and random noises). The attack matrices are calculated to ensure that Kullback-Leiber (K-L) algorithm is passed. With these matrices, the window limited cumulative SUM (WL-CUSUM) algorithm and finite moving average (FMA) algorithm are utilized to detect the changes in the sequence of residuals generated from Kalman filter method and are appreciated the ability to detect the linear attack. The simulated results show that an appropriate range of threshold of the WL-CUSUM and FMA algorithm can be chosen to detect the linear attack in case the K-L method cannot detect. Moreover, tested results using the Monte Carlo simulation also show that the evaluation performance of the FMA detection algorithm is better than that of WL-CUSUM, CUSUM, and Chi-squared (Chi2).

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Qamar, Abdul Wahab, Najam ul Hassan, and Maqbool Hussain Sial. "HYBRID DOUBLE EXPONENTIALLY WEIGHTED MOVING AVERAGE (HDEWMA) CONTROL CHART FOR INVERSE RAYLEIGH DISTRIBUTION." Pakistan Journal of Social Research 05, no. 02 (May 31, 2023): 1337–46. http://dx.doi.org/10.52567/pjsr.v5i02.1359.

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In this paper, we proposed a Hybrid Double Exponentially Weighted Moving Average HDEWMA control chart. The proposed control chart is based on Inverse Rayleigh Distributed lifetimes using simple random sampling (SRS) and ranked set sampling (RSS). Out-of-control-Average Run Length (ARL1) is used to evaluate the performance of the proposed control chart. The HDEWMA control chart is compared with traditional/simple EWMA and CUSUM control charts. The performance of the control chart is evaluated using out of control average run length (ARL1). A simulated example is used to compare the proposed HDEWMA, traditional/simple EWMA chart and CUSUM control chart. It is observed that the proposed HDEWMA control chart performs simple EWMA and CUSUM control charts. The HDEWMA control chart can be used for efficient monitoring of the production process in manufacturing industries where the data is coming from inverse Rayleigh Distribution. Keywords: Hybrid, EWMA, CUSUM, DEWMA, average run length (ARL).

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Habibi, Reza. "Distribution approximations for Cusum and Cusumsq statistics." Statistics in Transition new series 11, no. 3 (December 1, 2010): 585–96. http://dx.doi.org/10.59170/stattrans-2010-033.

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The cumulative sum (cusum) is an important statistics in testing for a change point. This paper is concerned with the distribution approximations to the cusum statistic under the null and alternative hypotheses. We also consider distribution approximations for the cumulative sum of squares (cusumsq) test statistics. Finally, a discussion section is given.

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Aslam, Muhammad, Ambreen Shafqat, Mohammed Albassam, Jean-Claude Malela-Majika, and Sandile C. Shongwe. "A new CUSUM control chart under uncertainty with applications in petroleum and meteorology." PLOS ONE 16, no. 2 (February 4, 2021): e0246185. http://dx.doi.org/10.1371/journal.pone.0246185.

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In these last few decades, control charts have received a growing interest because of the important role they play by improving the quality of the products and services in industrial and non-industrial environments. Most of the existing control charts are based on the assumption of certainty and accuracy. However, in real-life applications, such as weather forecasting and stock prices, operators are not always certain about the accuracy of an observed data. To efficiently monitor such processes, this paper proposes a new cumulative sum (CUSUM) X¯ chart under the assumption of uncertainty using the neutrosophic statistic (NS). The performance of the new chart is investigated in terms of the neutrosophic run length properties using the Monte Carlo simulations approach. The efficiency of the proposed neutrosophic CUSUM (NCUSUM) X¯ chart is also compared to the one of the classical CUSUM X¯ chart. It is observed that the NCUSUM X¯ chart has very interesting properties compared to the classical CUSUM X¯ chart. The application and implementation of the NCUSUM X¯ chart are provided using simulated, petroleum and meteorological data.

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Tyagi, Dushyant. "Designing an Effective Combined Shewhart-CUSUM Control Scheme with Exponentially Distributed Data." International Journal of Mathematical, Engineering and Management Sciences 4, no. 5 (October 1, 2019): 1277–86. http://dx.doi.org/10.33889/ijmems.2019.4.5-101.

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In this paper, the Combined Shewhart-CUSUM control scheme has been proposed to monitor the production process when the quality characteristic follows exponential distribution to quickly detect the shift in the process. The simulated values of ARL are determined after the transformation of the data into approximate normal distribution by Nelson transformation method and adding Shewhart control limits to existing CUSUM Control Chart. Scheme parameters (value of k and h) and out of control ARL are calculated at various shift and at various in-control ARL. Parameters are also calculated to detect δ standard deviation shifts, which may be helpful to the quality control practitioners in designing the Combined Shewhart-CUSUM scheme when data is highly skewed.

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Quimby, W. F., B. F. Sowell, J. G. P. Bowman, M. E. Branine, M. E. Hubbert, and H. W. Sherwood. "Application of feeding behaviour to predict morbidity of newly received calves in a commercial feedlot." Canadian Journal of Animal Science 81, no. 3 (September 1, 2001): 315–20. http://dx.doi.org/10.4141/a00-098.

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The objective of this study was to use feeding behavior of newly received steers (average initial weight 191 kg) to detect morbidity in animals in a commercial feedlot. Two separate 32 d feeding trials were conducted in Wellton, Arizona, in July and November 1996. Radio frequency technology was used to record the total time spent within 50 cm of the feedbunk (animal presence every 5.25 s times 5.25 s) in 3 h intervals from 0600 to 2400 on a daily basis for 103 and 122 male calves in trial 1 and 2, respectively. Statistical procedures based on the cumulative sums (CUSUM) of the 3 h feeding intervals were used to detect morbid animals, compared with detection of animals deemed morbid by experienced pen riders. In trial 1, the CUSUM procedure detected animal morbidity 4.5 d earlier (P < 0.001) than the feedlot personnel. In trial 2, the CUSUM procedure detected animal morbidity 3.7 d earlier (P < 0.001) than feedlot pen riders. Overall accuracy, positive predictive value and sensitivity of the CUSUM prediction method were 87, 91, and 90%, respectively. Combined trial data suggest that feeding behavior during the first 30 d cattle are in a receiving pen, as collected with radio frequency technology and analyzed with CUSUM charts, may be used to detect animal morbidity approximately 4.1 d earlier (P < 0.001) than conventional methods typically employed in commercial feedlots. Key words: Feeding behavior, morbidity, quality control, feedlots

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FRIGO, JIAM PIRES, MARCIO ANTONIO VILAS BOAS, JIANICE PIRES FRIGO, and ELISANDRO PIRES FRIGO. "COMPARAÇÃO ENTRE GRÁFICOS DE CONTROLE DE SHEWHART, CUSUM E MMEP NO PROCESSO DE IRRIGAÇÃO POR ASPERSÃO CONVENCIONAL." IRRIGA 1, no. 01 (June 18, 2018): 56. http://dx.doi.org/10.15809/irriga.2016v1n01p56-70.

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COMPARAÇÃO ENTRE GRÁFICOS DE CONTROLE DE SHEWHART, CUSUM E MMEP NO PROCESSO DE IRRIGAÇÃO POR ASPERSÃO CONVENCIONAL JIAM PIRES FRIGO1; MARCIO ANTONIO VILAS BOAS2; JIANICE PIRES FRIGO2 E ELISANDRO PIRES FRIGO3 1 Instituto Latino-Americano de Tecnologia, Infraestrutura e Território - ILATIT (UNILA), Av. Tancredo Neves, 3838 - Porto Belo, CEP 85867-970, Foz do Iguaçu, PR, Fone (45)99993 4783, e‑mail:jianfrigo@gmail.com2 Centro de Ciências Exatas e Tecnológicas, Programa de Pós Graduação em Engenharia Agrícola (Unioeste), R. Universitária, 2069 - Jardim Universitário CEP 85819-110, Cascavel-PR3 Universidade Federal do Paraná, Campus Palotina R. Pioneiro, 2153 - Dallas, CEP 85950-000, Palotina-PR 1 RESUMO O objetivo deste estudo foi comparar os resultados da utilização dos gráficos de controle de Shewhart para medidas individuais, com os gráficos de controle média móvel exponencialmente ponderada (MMEP) e soma cumulativa (CUSUM), aplicados no controle de qualidade da irrigação. Foram realizados 60 ensaios de irrigação em um sistema por aspersão convencional. As análises do processo de controle de qualidade do sistema de irrigação foram realizadas por meio dos gráficos de Shewhart (Xbarra), gráficos MMEP e CUSUM. Todos os procedimentos para os ensaios de uniformidade da irrigação foram realizados conforme recomendação NBR ISO 7749-2 (ABNT, 2000). Para a avaliação do sistema foi utilizado o Coeficiente de Uniformidade de Christiansen (CUC). O gráfico de controle MMEP apresentou-se bastante suscetível quando utilizado em dados auto correlacionados, com ocorrências de alarmes falsos. Para dados independentes (pelo modelo ARIMA), o gráfico CUSUM foi mais sensível ao detectar as variações ocorridas na irrigação devido à velocidade do vento, quando comparado aos gráficos MMEP e Shewhart para os mesmos dados. Na irrigação por aspersão, relacionando CUC com velocidade do vento, o gráfico de Shewhart foi mais indicado pela simplicidade, robustez e facilidade de interpretação, mesmo na presença de dados que violam a suposição de independência. Os gráficos de controle de Shewhart, MMEP e CUSUM provaram serem ótimas ferramentas estatísticas no estudo da irrigação por aspersão convencional, demonstrando muito bem a variabilidade no processo. Palavras-Chave: água, vento, Coeficiente de Christiansen, Controle de qualidade. FRIGO, J.P.; VILAS BOAS, M.A.; FRIGO, J.P.; FRIGO, E.P.COMPARISON BETWEEN SHEWHART CONTROL CHARTS, CUSUM AND MMEP IN PROCESS OF CONVENTIONAL IRRIGATION SPRINKLER 2 ABSTRACT This study aimed to compare the results of Shewhart control charts use for individual measures with exponentially weighted moving average (MMEP) and cumulative sum (CUSUM) control charts applied in quality control of conventional sprinkler irrigation. Sixty irrigation trials were set up in a conventional sprinkler system. The analyses of the quality control process of the irrigation system were performed by means of Shewhart charts (Xbarra) charts, MMEP and CUSUM. All procedures for testing uniformity of irrigation were performed as recommended by ISO 7749-2 (ABNT, 2000). For the evaluation of the system, it was used Christiansen Uniformity Coefficient (CUC). The control chart MMEP showed to be quite susceptible when used in auto correlated data with instances of false alarms. For independent data (the ARIMA model), the CUSUM tabular chart was more sensitive to detect variations in irrigation due to wind speed, when compared to MMEP and Shewhart charts for the same data. In sprinkler irrigation, relating CUC with wind speed, the Shewhart chart was better due to such features as simplicity, robustness and easiness of interpretation, even in the presence of data that violate the assumption of independence. The Shewhart control charts, CUSUM and MMEP statistics proved to be great tools in the study of irrigation sprinkler, demonstrating very well the variability in the process. Keywords: water, wind, Christiansen coefficient, control charts, Quality control.

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Son, Changhwan, Wooyeol Park, HyeongGyun Kim, KyungSook Han, and Changwoo Pyo. "Parallelization of CUSUM Test in a CUDA Environment." KIISE Transactions on Computing Practices 21, no. 7 (July 15, 2015): 476–81. http://dx.doi.org/10.5626/ktcp.2015.21.7.476.

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Ikpotokin, O., J. O. Braimah, and H. E. Oboh. "Performance evaluation of conventional exponentially weighted moving average (EWMA) and p-value cumulative sum (CUSUM) control chart." Global Journal of Pure and Applied Sciences 27, no. 2 (June 24, 2021): 171–79. http://dx.doi.org/10.4314/gjpas.v27i2.9.

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This paper is aimed at comparing the performances of the conventional Exponentially Weighted Moving Average (EWMA) and p-value Cumulative Sum (CUSUM) control chart. These charts were applied in monitoring the outbreak of pulmonary tuberculosis in Delta State University Teaching Hospital (DELSUTH), Oghara for a period of eighty four (84) calendar months. Line chart and histogram were plotted to test for stationary and normality of the data. Autocorrelation plot was also used to study the randomness of the data. The results of the control charts show that conventional EWMA chart detects shifts faster in monitoring process mean than the p-value CUSUM control chart. Keywords and Phrases: Exponentially Weighted Moving Average (EWMA), p-value, Cumulative Sum (CUSUM), Autocorrelation, Randomness

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Cung Thanh Long. "NGHIÊN CỨU KHẢ NĂNG PHÁT HIỆN TẤN CÔNG TUYẾN TÍNH CỦA HAI PHƯƠNG PHÁP CHI-SQUARED VÀ CUSUM." Journal of Military Science and Technology, no. 73 (June 15, 2021): 84–92. http://dx.doi.org/10.54939/1859-1043.j.mst.73.2021.84-92.

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Abstract:

Bài báo này trình bày nghiên cứu về khả năng phát hiện tấn công tuyến tính của hai phương pháp Chi-squared (CHI2) và Cumulative sum (CUSUM) trong trường hợp phương pháp Kullback – Leibler (K-L) bị vượt qua. Đối tượng chịu tấn công tuyến tính là quá trình truyền tin không dây từ cảm biến lên thiết bị điều khiển của một hệ thống điều khiển với mô hình toán học giả lập. Các ma trận tấn công được tính toán để đảm bảo vượt qua phương pháp phát hiện K-L. Trên cơ sở các ma trận này, các ngưỡng phát hiện của phương pháp CHI2 và CUSUM được thử nghiệm lựa chọn để đánh giá khả năng phát hiện tấn công tuyến tính. Các kết quả mô phỏng cho thấy, tồn tại một dải ngưỡng thích hợp ở cả hai phương pháp CHI2 và CUSUM, mà trong dải đó phương pháp tấn công tuyến tính đã vượt qua phương pháp K-L sẽ bị phát hiện. Ngoài ra, nghiên cứu cũng đã chỉ ra rằng phương pháp CUSUM có xác suất phát hiện tấn công tuyến tính cao hơn so với phương pháp CHI2.

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Journal articles on the topic 'Cusum'

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