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ORIGINAL ARTICLES

The Poisson INAR(1) CUSUM chart under overdispersion and estimation error

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Pages 805-818 | Received 01 Jan 2010, Accepted 01 Nov 2010, Published online: 14 Sep 2011

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Zhiqiong Wang, Zhen He, Yanfen Shang & Yanhui Ma. (2023) Change-Point detection for autocorrelated multivariate Poisson processes. Quality Technology & Quantitative Management 20:3, pages 384-404.
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Cong Li, Haixiang Zhang & Dehui Wang. (2022) Modelling and monitoring of INAR(1) process with geometrically inflated Poisson innovations. Journal of Applied Statistics 49:7, pages 1821-1847.
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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 & 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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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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Christian H. Weiß & Murat Caner Testik. (2015) On the Phase I analysis for monitoring time-dependent count processes. IIE Transactions 47:3, pages 294-306.
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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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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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Articles from other publishers (25)

Hanhan Li & Cong Li. (2023) Multivariate control charts for monitoring a bivariate correlated count process with application to meningococcal disease. Statistical Methods in Medical Research 32:12, pages 2299-2317.
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Manuel Cabral Morais. (2023) Two Features of the GINAR(1) Process and Their Impact on the Run-Length Performance of Geometric Control Charts. Entropy 25:3, pages 444.
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Christian H. Weiß & Murat Caner Testik. (2022) Monitoring count time series: Robustness to nonlinearity when linear models are utilized. Quality and Reliability Engineering International 38:8, pages 4356-4371.
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Cang Wu, Shubin Si, Wenpo Huang & Wei Jiang. (2022) Copula-based CUSUM charts for monitoring infectious disease using Markovian Poisson processes. Computers & Industrial Engineering 172, pages 108536.
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Mamadou Lamine Diop & William Kengne. (2021) Poisson QMLE for change-point detection in general integer-valued time series models. Metrika 85:3, pages 373-403.
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Maria Anastasopoulou & Athanasios C. Rakitzis. (2021) One‐ and two‐sided monitoring schemes for BINARCH(1) processes. Applied Stochastic Models in Business and Industry 38:2, pages 262-286.
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Yunwei Cui, Rongning Wu & Qi Zheng. (2020) Estimation of change‐point for a class of count time series models. Scandinavian Journal of Statistics 48:4, pages 1277-1313.
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Sangyeol Lee & Byungsoo Kim. (2021) Recent progress in parameter change test for integer-valued time series models. Journal of the Korean Statistical Society 50:3, pages 730-755.
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Christian H. Weiß, Murat Caner Testik & Annika Homburg. (2021) On the design of Shewhart control charts for count time series under estimation uncertainty. Computers & Industrial Engineering 157, pages 107331.
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Ross Stewart Sparks & Hossein Hazrati-Marangaloo. 2021. Quality Control - Intelligent Manufacturing, Robust Design and Charts. Quality Control - Intelligent Manufacturing, Robust Design and Charts.
Cong Li, Shuai Cui & Dehui Wang. (2021) Monitoring the Zero-Inflated Time Series Model of Counts with Random Coefficient. Entropy 23:3, pages 372.
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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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Sofia Paulino, Manuel Cabral Morais & Sven Knoth. (2016) On ARL-unbiased c-charts for INAR(1) Poisson counts. Statistical Papers 60:4, pages 1021-1038.
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Miaomiao Yu, Chunjie Wu, Zhijun Wang & Fugee Tsung. (2018) A robust CUSUM scheme with a weighted likelihood ratio to monitor an overdispersed counting process. Computers & Industrial Engineering 126, pages 165-174.
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Orlando Yesid Esparza Albarracin, Airlane Pereira Alencar & Linda Lee Ho. (2018) Effect of neglecting autocorrelation in regression EWMA charts for monitoring count time series. Quality and Reliability Engineering International 34:8, pages 1752-1762.
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Orlando Yesid Esparza Albarracin, Airlane Pereira Alencar & Linda Lee Ho. (2017) CUSUM chart to monitor autocorrelated counts using Negative Binomial GARMA model. Statistical Methods in Medical Research 27:9, pages 2859-2871.
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Murat Caner Testik, Christian H. Weiß, Yesim Koca & Ozlem Muge Testik. (2018) Effectiveness of phase I applications for identifying randomly scattered out-of-control observations and estimating control chart parameters. Quality and Reliability Engineering International 34:1, pages 78-92.
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Murat Caner Testik, Christian H. Weiß, Yesim Koca & Özlem Müge Testik. 2018. Frontiers in Statistical Quality Control 12. Frontiers in Statistical Quality Control 12 21 43 .
Šárka Hudecová, Marie Hušková & Simos G. Meintanis. (2017) Tests for Structural Changes in Time Series of Counts. Scandinavian Journal of Statistics 44:4, pages 843-865.
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Cong Li, Dehui Wang & Fukang Zhu. (2016) Effective Control Charts for Monitoring the NGINAR(1) Process. Quality and Reliability Engineering International 32:3, pages 877-888.
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Šárka Hudecová, Marie Hušková & Simos Meintanis. 2015. Stochastic Models, Statistics and Their Applications. Stochastic Models, Statistics and Their Applications 11 18 .
Stelios Psarakis, Angeliki K. Vyniou & Philippe Castagliola. (2014) Some Recent Developments on the Effects of Parameter Estimation on Control Charts. Quality and Reliability Engineering International 30:8, pages 1113-1129.
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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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Claudia Kirch. (2014) Comments on: Extensions of some classical methods in change point analysis. TEST 23:2, pages 270-275.
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Petek Yontay, Christian H. Weiß, Murat Caner Testik & Z. Pelin Bayindir. (2013) 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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