Run rules based phase IIcandnpcharts when process parameters are unknown

DOI10.1080/03610926.2013.861493zbMath1338.60180OpenAlexW2030007977MaRDI QIDQ2807759

Shu Wu, Philippe Castagliola, Michael B. C. Khoo

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.861493

zbMATH Keywords

Markov chainaverage run lengthunknown parametersrun rulesattributes control chartsmedian run lengthphase I and II

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Discrete-time Markov processes on general state spaces (60J05)

Related Items

Double sampling np chart with estimated process parameter ⋮ Economic-statistical design of control chart with runs rules for correlation within sample ⋮ Modified one-sided EWMA charts for monitoring time between events ⋮ The performance of the hypergeometric \(np\) chart with estimated parameter

Cites Work

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• A CUSUM control chart for monitoring the variance when parameters are estimated
• Distribution-free exponentially weighted moving average control charts for monitoring unknown location
• An EWMA chart for monitoring the process standard deviation when parameters are estimated
• A unified Markov chain approach for computing the run length distribution in control charts with simple or compound rules.
• Properties and performance of thec-chart for attributes data
• A binomial CUSUM chart for detecting large shifts in fraction nonconforming
• CONTROL CHARTS WITH WARNING LINES
• Parameter estimation and design considerations in prospective applications of theX¯ chart
• Shewhart x-charts with estimated process variance
• The run length distributions of theR, sands²control charts when σ is estimated
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• EFFECT OF ESTIMATION OF THE PROCESS PARAMETERS ON THE CONTROL LIMITS OF THE UNIVARIATE CONTROL CHARTS FOR PROCESS DISPERSION
• Run-Length Distribution for Control Charts with Runs and Scans Rules
• The performance of control charts for monitoring process variation
• Distribution-Free Exceedance CUSUM Control Charts for Location
• The ModifiedrOut ofmControl Chart
• Run length distributions for estimated attributes charts