Statistical Tolerance Regions: Theory, Applications, and Computation

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CONFIDENCE LIMITS FOR STRESS STRENGTH RELIABILITY INVOLVING WEIBULL MODELS (2010, methodology): “…has been used successfully to address several complex problems such as estimating lognormal mean and for constructing tolerance limits in one-way random model and some mixed models; see Krishnamoorthy and Mathew (2003, 2004), Liao et al. (2005), and Chapters 4–6 of Krishnamoorthy and Mathew (2009).”
Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, methodology): “Also, note that using the theory of tolerance intervals, Krishnamoorthy and Mathew (2009, 30) provided a formula equivalent to [13] when single-sample estimators S and X are used instead of the Sp=c4;b and the X ; respectively, but they did not make the connection with control charts.”
Distribution-Free, Risk-Controlling Prediction Sets (2021, background): “See [5] for an overview of tolerance regions.”