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Original Articles

Detecting mean increases in Poisson INAR(1) processes with EWMA control charts

Pages 383-398 | Received 28 Jul 2009, Accepted 21 Sep 2009, Published online: 13 Oct 2010

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Read on this site (11)

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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Maria Anastasopoulou & Athanasios C. Rakitzis. (2022) EWMA control charts for monitoring correlated counts with finite range. Journal of Applied Statistics 49:3, pages 553-573.
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Piyatida Phanthuna, Yupaporn Areepong & Saowanit Sukparungsee. (2021) Run length distribution for a modified EWMA scheme fitted with a stationary AR(p) model. Communications in Statistics - Simulation and Computation 0:0, pages 1-20.
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Fidel Henrique Fernandes, Marcelo Bourguignon & Linda Lee Ho. (2020) Control charts to monitor integer valued autoregressive process with inflation or deflation of zeros. Journal of Statistics and Management Systems 23:8, pages 1463-1484.
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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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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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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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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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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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Articles from other publishers (16)

Karl L. Hallgren, Nicholas A. Heard & Niall M. Adams. (2022) Changepoint detection in non-exchangeable data. Statistics and Computing 32:6.
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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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Tahir Mahmood, Anam Iqbal, Saddam Akber Abbasi & Muhammad Amin. (2021) Efficient GLM‐based control charts for Poisson processes. Quality and Reliability Engineering International 38:1, pages 389-404.
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Anam Iqbal, Tahir Mahmood, Zulfiqar Ali & Muhammad Riaz. (2022) On Enhanced GLM-Based Monitoring: An Application to Additive Manufacturing Process. Symmetry 14:1, pages 122.
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Junjie Wang, Zhi Lin Chong & Peihua Qiu. (2021) Optimal monitoring of Poisson data with known and unknown shifts. Computers & Industrial Engineering 154, pages 107100.
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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.
Xanthi Pedeli & Dimitris Karlis. (2019) An integer‐valued time series model for multivariate surveillance. Statistics in Medicine 39:7, pages 940-954.
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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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Christian Weiß. 2018. An Introduction to Discrete-Valued Time Series. An Introduction to Discrete-Valued Time Series 257 274 .
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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Athanasios C. Rakitzis, Christian H. Weiß & Philippe Castagliola. (2017) Control Charts for Monitoring Correlated Poisson Counts with an Excessive Number of Zeros. Quality and Reliability Engineering International 33:2, pages 413-430.
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Mu'azu Ramat Abujiya, Saddam Akber Abbasi & Muhammad Riaz. (2016) A New EWMA Control Chart for Monitoring Poisson Observations. Quality and Reliability Engineering International 32:8, pages 3023-3033.
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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 .
Claudia Kirch. (2014) Comments on: Extensions of some classical methods in change point analysis. TEST 23:2, pages 270-275.
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