Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 53, 2021 - Issue 4
270
Views
0
CrossRef citations to date
0
Altmetric
Articles

A robust dynamic screening system by estimation of the longitudinal data distribution

&

References

  • Apley, D. W., and H. C. Lee. 2003. Design of exponentially weighted moving average control charts for autocorrelated processes with model uncertainty. Technometrics 45 (3):187–98. doi: 10.1198/004017003000000014.
  • Apley, D. W., and J. Shi. 1999. The GLRT for statistical process control of autocorrelated processes. IIE Transactions 31 (12):1123–34. doi: 10.1080/07408179908969913.
  • Chatterjee, S., and P. Qiu. 2009. Distribution-free cumulative sum control charts using bootstrap-based control limits. The Annals of Applied Statistics 3 (1):349–69. doi: 10.1214/08-AOAS197.
  • Colosimo, B. M., and M. Pacella. 2007. On the use of principal component analysis to identify systematic patterns in roundness profiles. Quality and Reliability Engineering International 23 (6):707–25. doi: 10.1002/qre.878.
  • Cupples, L. A., H. T. Arruda, E. J. Benjamin, R. B. D'Agostino, S. Demissie, A. L. DeStefano, J. Dupuis, K. M. Falls, C. S. Fox, D. J. Gottlieb, et al. 2007. The Framingham Heart Study 100K SNP genome-wide association study resource: overview of 17 phenotype working group reports. BMC Medical Genetics 8 (S1):S1. doi: 10.1186/1471-2350-8-S1-S1.
  • Epanechnikov, V. A. 1969. Non-parametric estimation of a multivariate probability density. Theory of Probability & Its Applications 14 (1):153–8. doi: 10.1137/1114019.
  • Fan, J., and I. Gijbels. 1995. Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation. Journal of the Royal Statistical Society: Series B (Methodological) 57 (2):371–94. doi: 10.1111/j.2517-6161.1995.tb02034.x.
  • Fan, J., Q. Yao, and H. Tong. 1996. Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems. Biometrika 83 (1):189–206. doi: 10.1093/biomet/83.1.189.
  • Hawkins, D. M. 1969. On the distribution and power of a test for a single outlier. South African Statistical Journal 3:9–15.
  • Hawkins, D. M. 1987. Self-starting cusums for location and scales. The Statistician 36 (4):299–315. doi: 10.2307/2348827.
  • Hawkins, D. M., and D. H. Olwell. 1998. Cumulative Sum Charts and Charting for Quality Improvement. New York: Springer-Verlag.
  • Kang, L., and S. L. Albin. 2000. On-line monitoring when the process yields a linear profile. Journal of Quality Technology 32 (4):418–26. doi: 10.1080/00224065.2000.11980027.
  • Li, J., and P. Qiu. 2016. Nonparametric dynamic screening system for monitoring correlated longitudinal data. IIE Transactions 48 (8):772–86. doi: 10.1080/0740817X.2016.1146423.
  • Li, J., and P. Qiu. 2017. Construction of an efficient multivariate dynamic screening system. Quality and Reliability Engineering International 33 (8):1969–81. doi: 10.1002/qre.2160.
  • Li, W., W. Dou, X. Pu, and D. Xiang. 2018. Monitoring individuals with irregular semiparametric longitudinal behaviour. Quality Technology & Quantitative Management 15 (1):37–52. doi: 10.1080/16843703.2017.1304045.
  • Montgomery, D. C. 2012. Introduction to statistical quality control. New York: John Wiley & Sons.
  • Qiu, P. 2014. Introduction to statistical process control. Boca Raton, FL: Chapman Hall/CRC.
  • Qiu, P., W. Li, and J. Li. 2020. A new process control chart for monitoring short-range serially correlated data. Technometrics 62 (1):71–83. doi: 10.1080/00401706.2018.1562988.
  • Qiu, P., Z. Xia, and L. You. 2020. Process monitoring ROC curve for evaluating dynamic screening methods. Technometrics 62 (2):236–248. doi: 10.1080/00401706.2019.1604434.
  • Qiu, P., and D. Xiang. 2014. Univariate dynamic screening system: An approach for identifying individuals with irregular longitudinal behavior. Technometrics 56 (2):248–60. doi: 10.1080/00401706.2013.822423.
  • Qiu, P., and D. Xiang. 2015. Surveillance of cardiovascular diseases using a multivariate dynamic screening system. Statistics in Medicine 34 (14):2204–21. doi: 10.1002/sim.6477.
  • Qiu, P., X. Zi, and C. Zou. 1986. Nonparametric dynamic curve monitoring. Technometrics 60 (3):386–97. doi: 10.1080/00401706.2017.1361340.
  • Qiu, P., C. Zou, and Z. Wang. 2010. Nonparametric profile monitoring by mixed effects modeling (with discussions). Technometrics 52 (3):265–77. doi: 10.1198/TECH.2010.08188.
  • Silverman, B. W. 1986. Density estimation for statistics and data analysis. Boca Raton: Chapman & Hall.
  • Smith, M., A. Min, C. Almeida, and C. Czado. 2010. Modeling longitudinal data using a pair-copula decomposition of serial dependence. Journal of the American Statistical Association 105 (492):1467–79. doi: 10.1198/jasa.2010.tm09572.
  • Wu, C. O., and X. Tian. 2013. Nonparametric estimation of conditional distributions and rank-tracking probabilities with time-varying transformation models in longitudinal studies. Journal of the American Statistical Association 108 (503):971–82. doi: 10.1080/01621459.2013.808949.
  • You, L., and P. Qiu. 2019. Fast computing for dynamic screening systems when analyzing correlated data. Journal of Statistical Computation and Simulation 89 (3):379–94. doi: 10.1080/00949655.2018.1552273.
  • Yu, K., and M. Jones. 1998. Local linear quantile regression. Journal of the American Statistical Association 93 (441):228–37. doi: 10.1080/01621459.1998.10474104.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.