Parameter estimation and design considerations in prospective applications of the X¯ chart

By Subhabrata Chakraborti. 2006

63 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fdd185aae073f0b26c4a3cfc7b4b16fdf41d336d

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In Statistics and Probability

Citations in the corpus

Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, methodology): “Also, from Table 1, we see that under the unconditional perspective, the chart using the unconditional adjusted limit factor proposed by Chakraborti (2006), L UCE; achieves an ARL0 value precisely equal to 370.4 for all values of m or n: However, the chart using the approximate adjusted limit…”
Effect of the Amount of Phase I Data on the Phase II Performance of S2 and S Control Charts (2015, background): “Thus, several authors, including Trietsch and Bischak (1998), Chakraborti (2006), Bischak and Trietsch (2007), and Saleh et al. (2015), have argued that a study of the RL distribution given (or conditional on) the reference sample (i.e., on the parameter estimates obtained therefrom) should be more…”
The Difficulty in Designing Shewhart X̄ and X Control Charts with Estimated Parameters (2015, background): “See, for example, Ghosh et al. (1981), Quesenberry (1993), Chen (1997), Jones et al. (2001), Chakraborti (2006), Bischak and Trietsch (2007), and Castagliola et al. (2012).”
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).”
Shewhart control charts for dispersion adjusted for parameter estimation (2017, methodology): “From this perspective, Chakraborti (2006) and Saleh, Mahmoud, Keefe, and Woodall (2015), for the case of the X chart, and Epprecht et al. (2015), for the case of the S chart (where S is the sample’s standard deviation), evaluated the effects of parameter estimation on the incontrol conditional RL…”