Run length, average run length and false alarm rate of shewhart x-bar chart: exact derivations by conditioning

By S. Chakraborti. 2000

121 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/0a66826be04dabedaaff4bd2e18bc93947bfb4c3

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In Statistics and Probability

Citations in the corpus

Are estimated control charts in control? (2004, background): “Other relevant references are Ghosh et al. (1981), Quesenberry (1993), Chen (1997), Chakraborti (2000) and Nedumaran and Pignatiello (2001).”
Control Charts for Simultaneous Monitoring of Unknown Mean and Variance of Normally Distributed Processes (2013, background): “; and Chakraborti, S. (2013). “A New Distribution-Free Control Chart for Joint Monitoring of Unknown Location and Scale Parameters of Continuous Distributions”. Quality and Reliability Engineering International, DOI: 10.1002/qre.1488. Costa, A. B. F. and Rahim, M. A. (2004). “Monitoring Process Mean”
Effects of Parameter Estimation on Control Chart Properties: A Literature Review (2006, background): “…and Ware independent, is given by h(t) = 1001:hlV,w(t Iv,w)fv(v)fw(w) dvdw. (3) Many authors, including Burroughs et al. (1993, 1995), Chen (1997), Chakraborti (2000), and Jones et al. (2001), have used the marginal RL distribution and its moments to evaluate the performance of control charts…”
Empirical nonparametric control charts: estimation effects and corrections (2002, background): “Chakraborti et al. (2001). Incidentally, as these authors point out, several of the procedures that have been proposed are in fact not truly nonparametric or distributionfree.”
Effect of the Amount of Phase I Data on the Phase II Performance of S2 and S Control Charts (2015, methodology): “For an overview of phase I statistical process control and various issues, the reader is referred to Chakraborti et al. (2009) and Jones–Farmer et al. (2014). The phase I control charting is an interesting problem in its own right but that is outside the scope of this paper.”
Run Length Distribution and Percentiles: The Shewhart Chart with Unknown Parameters (2007, background): “In fact it has been demonstrated (Quesenberry, 1993 and Chakraborti, 2000) that the actual FAR (or the ARL0) might be significantly different from the corresponding values in the standards known case, unless a large amount of data is available. A number of authors have contributed to the area of con”
Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, methodology): “To illustrate this briefly, note that in one of the earliest articles, Chakraborti (2006) considered the unconditional perspective and provided the adjusted control limits. Ten years later, for the same perspective, Goedhart et al. (2016) proposed an approximate adjustment and warned about the large”
Parameter estimation and design considerations in prospective applications of the X¯ chart (2006, background): “A number of authors have contributed to this area including Ghosh et al. (1981), Del Castillo (1996), Quensenberry (1993), Chakraborti (2000) and Neduraman & Pignatiello (2001).”
Nonparametric CUSUM and EWMA Control Charts for Detecting Mean Shifts (2010, methodology): “6 in-control ARL in theory (see Chakraborti et al. (2004) for details). The W CUSUM and W -EWMA charts were designed using the approach introduced above, and N = 100,000 in Equation (6) was used as the size of the pool of reference samples. The traditional X-CUSUM and X-EWMA charts were designed ass”
The Difficulty in Designing Shewhart X̄ and X Control Charts with Estimated Parameters (2015, methodology): “Chen (1997), using three di↵erent unbiased estimators for the process standard deviation, gave similar recommendations as Quesenberry (1993).”