The Statistical Design of EWMA Control Charts with Estimated Parameters

By Allison Jones. 2002

151 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/169335446bf04b0548af98dcdf986ccf082d69d7

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In Statistics and Probability

Citations in the corpus

Another Look at the EWMA Control Chart with Estimated Parameters (2015, methodology): “Following a similar procedure to that of Jones et al. (2001), the chart statistic in Equation (1) can be rewritten as”
A Self-Starting Control Chart for Linear Profiles (2007, background): “Hence, many authors studied the design procedures of traditional control charts with estimated parameters, such as Hillier (1967, 1969), Yang and Hillier (1970), Nedumaran and Pignatiello (2001), and Jones (2002).”
The computation of average run length and average time to signal: an overview (2014, methodology): “[56] derived run length distribution of the EWMA chart with estimated parameters and Jones [57] relaxed the assumption of known parameters and developed accordingly design procedures for the EWMA chart.”
NONPARAMETRIC CONTROL CHART FOR MONITORING PROFILES USING CHANGE POINT FORMULATION AND ADAPTIVE SMOOTHING (2009, background): “See, for instance, Kang and Albin (2000), Kim, Mahmoud and Woodall (2003), Mahmoud and Woodall (2004), Zou, Zhang and Wang (2006), and Mahmoud, Parker, Woodall and Hawkins (2007), among several others. Multiple and polynomial regression profile models are considered by Zou, Tsung and Wang (2007) and”
Effects of Parameter Estimation on Control Chart Properties: A Literature Review (2006, background): “When it is difficult to obtain the large number of samples recommended, Jones (2002) considered modifying EWMA charts so that they have a specified in-control ARL.”
CONTROL CHART FOR MONITORING NONPARAMETRIC PROFILES WITH ARBITRARY DESIGN (2009, background): “As recognized in the literature, it is often insufficient to summarize run length behavior by ARL, especially for self-starting control charts (cf., Jones 2002).”
Nonparametric CUSUM and EWMA Control Charts for Detecting Mean Shifts (2010, methodology): “…the X-CUSUM (adjust) and XEWMA (adjust) charts, μ and σ were estimated from the 100 randomly generated observations (the reference sample of each simulation replication), and the control limits were adjusted according to the methods introduced by Jones et al. (2004) and Jones (2002), respectively.”
The EWMA median chart with estimated parameters (2016, background): “…for the mean; for example: Ghosh et al. (1981), Quesenberry (1993), Del Castillo (1996), Chen (1997), Jones et al. (2001), Nedumaran and Pignatiello (2001), Jones (2002), Yang et al. (2002), Champ and Allison-Jones (2004), Chakraborti (2006), Jensen et al. (2008), and Zhang and Castagliola (2010).”