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Original Articles

An ARL-unbiased design of time-between-events control charts with runs rules

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Pages 857-871 | Received 06 Jul 2009, Accepted 01 Dec 2009, Published online: 07 Dec 2010

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Nirpeksh Kumar, Athanasios C. Rakitzis, Subha Chakraborti & Tribhuvan Singh. (2024) Statistical design of ATS-unbiased charts with runs rules for monitoring exponential time between events. Communications in Statistics - Theory and Methods 53:3, pages 815-833.
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Zahra Jalilibal, Mohammad Hassan Ahmadi Karavigh, Amirhossein Amiri & Michael B. C. Khoo. (2023) Run rules schemes for statistical process monitoring: a literature review. Quality Technology & Quantitative Management 20:1, pages 21-52.
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Muhammad Aslam, G. Srinivasa Rao, Liaquat Ahmad & Chi-Hyuck Jun. (2022) A new control chart using GINI CPK. Communications in Statistics - Theory and Methods 51:1, pages 197-211.
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S.C. Shongwe & J.-C. Malela-Majika. (2022) Shewhart-type monitoring schemes with supplementary w-of-w runs-rules to monitor the mean of autocorrelated samples. Communications in Statistics - Simulation and Computation 51:1, pages 293-322.
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XueLong Hu, Philippe Castagliola, JianLan Zhong, AnAn Tang & YuLong Qiao. (2021) On the performance of the adaptive EWMA chart for monitoring time between events. Journal of Statistical Computation and Simulation 91:6, pages 1175-1211.
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Shu Wu, Philippe Castagliola & Giovanni Celano. (2021) A distribution-free EWMA control chart for monitoring time-between-events-and-amplitude data. Journal of Applied Statistics 48:3, pages 434-454.
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Syed Masroor Anwar, Muhammad Aslam, Shabbir Ahmad & Muhammad Riaz. (2020) A modified-mxEWMA location chart for the improved process monitoring using auxiliary information and its application in wood industry. Quality Technology & Quantitative Management 17:5, pages 561-579.
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XinYing Chew, Khai Wah Khaw & Wai Chung Yeong. (2020) The efficiency of run rules schemes for the multivariate coefficient of variation: a Markov chain approach. Journal of Applied Statistics 47:3, pages 460-480.
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Dorra Rahali, Philippe Castagliola, Hassen Taleb & Michael B. C. Khoo. (2019) Evaluation of Shewhart time-between-events-and-amplitude control charts for several distributions. Quality Engineering 31:2, pages 240-254.
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Manuel Cabral Morais. (2017) ARL-unbiased geometric and CCC control charts. Sequential Analysis 36:4, pages 513-527.
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N. Kumar, S. Chakraborti & A. C. Rakitzis. (2017) Improved Shewhart-Type Charts for Monitoring Times Between Events. Journal of Quality Technology 49:3, pages 278-296.
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Yuan Cheng, Amitava Mukherjee & Min Xie. (2017) Simultaneously monitoring frequency and magnitude of events based on bivariate gamma distribution. Journal of Statistical Computation and Simulation 87:9, pages 1723-1741.
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Nirpeksh Kumar & Subha Chakraborti. (2017) Bayesian Monitoring of Times Between Events: The Shewhart t-Chart. Journal of Quality Technology 49:2, pages 136-154.
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Athanasios C. Rakitzis. (2016) Monitoring exponential data using two-sided control charts with runs rules. Journal of Statistical Computation and Simulation 86:1, pages 149-159.
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Hyeseon Lee, Muhammad Aslam, Qurat-ul-ain Shakeel, Wonji Lee & Chi-Hyuck Jun. (2015) A control chart using an auxiliary variable and repetitive sampling for monitoring process mean. Journal of Statistical Computation and Simulation 85:16, pages 3289-3296.
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Jun Yang, Huan Yu, Yuan Cheng & Min Xie. (2015) Design of exponential control charts based on average time to signal using a sequential sampling scheme. International Journal of Production Research 53:7, pages 2131-2145.
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Baocai Guo, Bing Xing Wang & Min Xie. (2014) ARL-unbiased control charts for the monitoring of exponentially distributed characteristics based on type-II censored samples. Journal of Statistical Computation and Simulation 84:12, pages 2734-2747.
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Eduardo Santiago & Joel Smith. (2013) Control Charts Based on the Exponential Distribution: Adapting Runs Rules for the t Chart. Quality Engineering 25:2, pages 85-96.
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Articles from other publishers (23)

Muhammad Azam, Maira Ahsan Khan, Asma Arshad, Muhammad Saleem & Muhammad Aslam. (2023) Acceptance sampling plan based on difference in difference estimator with application. Scientific Reports 13:1.
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Subhabrata Chakraborti, Nirpeksh Kumar, Athanasios C. Rakitzis & Ross S. Sparks. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 13 .
Yu‐Ching Chang & Yi‐Cheng Wu. (2021) A parameter‐free exponential control chart based on Kullback‐Leibler information for time‐between‐events monitoring. Quality and Reliability Engineering International 38:2, pages 733-756.
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Rashid Mehmood, Muhammad Riaz, Muhammad Hisyam Lee, Iftikhar Ali & Mona Gharib. (2022) Exact computational methods for univariate and multivariate control charts under runs rules. Computers & Industrial Engineering 163, pages 107821.
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Philippe Castagliola, Giovanni Celano, Dorra Rahali & Shu Wu. 2022. Control Charts and Machine Learning for Anomaly Detection in Manufacturing. Control Charts and Machine Learning for Anomaly Detection in Manufacturing 43 76 .
Nirpeksh Kumar & Sonam Jaiswal. (2020) Use of median‐based estimator to construct Phase II exponential chart. Quality and Reliability Engineering International 36:6, pages 2044-2056.
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Syed Masroor Anwar, Muhammad Aslam, Muhammad Riaz & Babar Zaman. (2020) On mixed memory control charts based on auxiliary information for efficient process monitoring. Quality and Reliability Engineering International 36:6, pages 1949-1968.
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Ridwan A. Sanusi, Sin Yin Teh & Michael B.C. Khoo. (2020) Simultaneous monitoring of magnitude and time-between-events data with a Max-EWMA control chart. Computers & Industrial Engineering 142, pages 106378.
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Sotiris Bersimis, Markos V. Koutras & Athanasios C. Rakitzis. 2019. Handbook of Scan Statistics. Handbook of Scan Statistics 1 32 .
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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Subhabrata Chakraborti & Marien Alet Graham. 2019. Nonparametric Statistical Process Control. Nonparametric Statistical Process Control 413 424 .
Nasrullah Khan, Muhammad Aslam, Mansour Sattam Aldosari & Chi-Hyuck Jun. (2018) A Multivariate Control Chart for Monitoring Several Exponential Quality Characteristics Using EWMA. IEEE Access 6, pages 70349-70358.
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Manuel Cabral Morais & Sven Knoth. 2018. Frontiers in Statistical Quality Control 12. Frontiers in Statistical Quality Control 12 87 112 .
Baocai Guo & Bing Xing Wang. (2017) The Design of the S 2 Control Charts Based on Conditional Performance via Exact Methods . Quality and Reliability Engineering International 33:7, pages 1567-1575.
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Sofia Paulino, Manuel Cabral Morais & Sven Knoth. (2016) An ARL‐unbiased c‐chart. Quality and Reliability Engineering International 32:8, pages 2847-2858.
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Sajid Ali, Antonio Pievatolo & Rainer Göb. (2016) An Overview of Control Charts for High‐quality Processes. Quality and Reliability Engineering International 32:7, pages 2171-2189.
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Manuel Cabral Morais. (2016) An ARL-Unbiased n p -Chart . Economic Quality Control 31:1, pages 11-21.
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Bao-cai Guo & Bing-xing Wang. (2015) Control charts for the Pareto distribution. Applied Mathematics-A Journal of Chinese Universities 30:4, pages 379-396.
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Muhammad Aslam, Muhammad Azam & Chi-Hyuck Jun. (2014) A new control chart for exponential distributed life using EWMA. Transactions of the Institute of Measurement and Control 37:2, pages 205-210.
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Jung‐Tai Chen. (2013) A Shewhart‐type Control Scheme to Monitor Weibull Data without Subgrouping. Quality and Reliability Engineering International 30:8, pages 1197-1214.
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Baocai Guo, Bing Xing Wang & Min Xie. (2014) A study of process monitoring based on inverse Gaussian distribution. Computers & Industrial Engineering 76, pages 49-59.
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Muhammad Aslam, Nasrullah Khan, Muhammad Azam & Chi-Hyuck Jun. (2014) Designing of a new monitoring t-chart using repetitive sampling. Information Sciences 269, pages 210-216.
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Peng Luo, Timothy A. DeVol & Julia L. Sharp. (2012) CUSUM Analyses of Time-Interval Data for Online Radiation Monitoring. Health Physics 102:6, pages 637-645.
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