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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 41, 2009 - Issue 4
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Articles

CUSUM Monitoring of First-Order Integer-Valued Autoregressive Processes of Poisson Counts

Christian H. WeißUniversity of Würzburg, 97074Würzburg, GermanyView further author information
&
Murat Caner TestikHacettepe University, Ankara06800, TurkeyView further author information
Pages 389-400 | Published online: 21 Nov 2017

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Manuel Cabral Morais, Philipp Wittenberg & Sven Knoth. (2023) An ARL-unbiased modified chart for monitoring autoregressive counts with geometric marginal distributions. Sequential Analysis 42:3, pages 323-347.
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Jian Li, Qiang Zhou & Dong Ding. (2020) Efficient monitoring of autocorrelated Poisson counts. IISE Transactions 52:7, pages 769-779.
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Yunwei Cui & Rongning Wu. (2020) Test of parameter changes in a class of observation-driven models for count time series. Communications in Statistics - Theory and Methods 49:8, pages 1933-1959.
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Cong Li, Dehui Wang & Jianguo Sun. (2019) Control charts based on dependent count data with deflation or inflation of zeros. Journal of Statistical Computation and Simulation 89:17, pages 3273-3289.
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Cong Li, Dehui Wang & Fukang Zhu. (2019) Detecting mean increases in zero truncated INAR(1) processes. International Journal of Production Research 57:17, pages 5589-5603.
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O. Arda Vanli, Rupert Giroux, Eren Erman Ozguven & Joseph J. Pignatiello$suffix/text()$suffix/text(). (2019) Monitoring of count data time series: Cumulative sum change detection in Poisson integer valued GARCH models. Quality Engineering 31:3, pages 439-452.
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Sebastian Ottenstreuer, Christian H. Weiß & Sven Knoth. (2019) A combined Shewhart-CUSUM chart with switching limit. Quality Engineering 31:2, pages 255-268.
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Ross Sparks, Brian Jin, Sarvnaz Karimi, Cecile Paris & C. R. MacIntyre. (2019) Real-time monitoring of events applied to syndromic surveillance. Quality Engineering 31:1, pages 73-90.
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Manuel Cabral Morais, Sven Knoth & Christian H. Weiß. (2018) An ARL-unbiased thinning-based EWMA chart to monitor counts. Sequential Analysis 37:4, pages 487-510.
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Jaewon Huh, Hanwool Kim & Sangyeol Lee. (2017) Monitoring parameter shift with Poisson integer-valued GARCH models. Journal of Statistical Computation and Simulation 87:9, pages 1754-1766.
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Hanwool Kim & Sangyeol Lee. (2017) On first-order integer-valued autoregressive process with Katz family innovations. Journal of Statistical Computation and Simulation 87:3, pages 546-562.
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Christian H. Weiß. (2015) SPC methods for time-dependent processes of counts—A literature review. Cogent Mathematics 2:1.
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M. A. A. Cox. (2015) Exact Average Run Lengths for Monitoring Poisson Counts. Communications in Statistics - Theory and Methods 44:22, pages 4757-4771.
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Christian H. Weiß & Murat Caner Testik. (2015) Residuals-Based CUSUM Charts for Poisson INAR(1) Processes. Journal of Quality Technology 47:1, pages 30-42.
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Min Zhang, Guohua Nie, Zhen He & Xuejun Hou. (2014) The Poisson INAR(1) one-sided EWMA chart with estimated parameters. International Journal of Production Research 52:18, pages 5415-5431.
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Elnaz Asghari Torkamani, Seyed Taghi Akhavan Niaki, Majid Aminnayeri & Mehdi Davoodi. (2014) Estimating the Change Point of Correlated Poisson Count Processes. Quality Engineering 26:2, pages 182-195.
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William H. Woodall & Douglas C. Montgomery. (2014) Some Current Directions in the Theory and Application of Statistical Process Monitoring. Journal of Quality Technology 46:1, pages 78-94.
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Ross Sparks. (2013) Challenges in designing a disease surveillance plan: What we have and what we need?. IIE Transactions on Healthcare Systems Engineering 3:3, pages 181-192.
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Christian H. Weiß & Murat Caner Testik. (2012) Detection of Abrupt Changes in Count Data Time Series: Cumulative Sum Derivations for INARCH(1) Models. Journal of Quality Technology 44:3, pages 249-264.
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Christian H. Weiß. (2012) Process capability analysis for serially dependent processes of Poisson counts. Journal of Statistical Computation and Simulation 82:3, pages 383-404.
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ChristianH. Weiß & Murat Caner Testik. (2011) The Poisson INAR(1) CUSUM chart under overdispersion and estimation error. IIE Transactions 43:11, pages 805-818.
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Christian H. Weiß. (2011) Detecting mean increases in Poisson INAR(1) processes with EWMA control charts. Journal of Applied Statistics 38:2, pages 383-398.
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Anne G. Ryan & William H. Woodall. (2010) Control Charts for Poisson Count Data with Varying Sample Sizes. Journal of Quality Technology 42:3, pages 260-275.
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Lucas O.F. Sales, André L.S. Pinho, Carla A. Vivacqua & Linda L. Ho. (2020) Shewhart control chart for monitoring the mean of Poisson mixed integer autoregressive processes via Monte Carlo simulation. Computers & Industrial Engineering 140, pages 106245.
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Hanwool Kim & Sangyeol Lee. (2019) Improved CUSUM monitoring of Markov counting process with frequent zeros. Quality and Reliability Engineering International 35:7, pages 2371-2394.
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Youngmi Lee & Sangyeol Lee. (2018) CUSUM test for general nonlinear integer-valued GARCH models: comparison study. Annals of the Institute of Statistical Mathematics 71:5, pages 1033-1057.
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Markos V. Koutras & Athanasios C. Rakitzis. (2018) Control charts with random interarrival times between successive samplings. Applied Stochastic Models in Business and Industry 35:3, pages 651-670.
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Yingzhuo Fu & Daniel R. Jeske. (2014) SPC methods for nonstationary correlated count data with application to network surveillance. Applied Stochastic Models in Business and Industry 30:6, pages 708-722.
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Šárka Hudecová. (2013) Structural changes in autoregressive models for binary time series. Journal of Statistical Planning and Inference 143:10, pages 1744-1752.
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Petek Yontay, Christian H. Weiß, Murat Caner Testik & Z. Pelin Bayindir. (2012) A Two‐Sided Cumulative Sum Chart for First‐Order Integer‐Valued Autoregressive Processes of Poisson Counts. Quality and Reliability Engineering International 29:1, pages 33-42.
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