175
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Monitoring the mean vector with Mahalanobis kernels

, &
Pages 459-474 | Accepted 18 Aug 2016, Published online: 06 Sep 2016

References

  • Aronszajn, N. (1944). La theorie generale des noyaux reproduisants et ses applications. Proceedings of the Cambridge Philosophical Society, 39, 133–153.
  • Azzalini, A., & Capitanio, A. (1999). Statistical applications of the multivariate skew normal distribution. Journal of the Royal Statistical Society. Series B. Statistical Methodology, 61, 579–602.
  • Baringhaus, L., & Franz, C. (2004). On a new multivariate two-sample test. Journal of Multivariate Analysis, 88, 190–206.
  • Benneyan, J. C., Lloyd, R. C., & Plsek, P. E. (2003). Statistical process control as a tool for research and healthcare improvement. Quality and Safety in Health Care, 12, 458–464.
  • Bersimis, S., Psarakis, S., & Panaretos, J. (2007). Multivariate statistical process control charts: An overview. Quality and Reliability Engineering International, 23, 517–543.
  • Boser, B. E., Guyon, I., & Vapnik, V. N. (1992). ’A training algorithm for optimal margin classifiers. Proceedings of the fifth annual workshop of computational learning theory (Vol. 5, pp. 144–152). Pittsburgh: ACM.
  • Chakraborti, S., Van Der Laan, P., & Bakir, S. T. (2001). Nonparametric control charts: An overview and some results. Journal of Quality Technology, 33, 304–315.
  • Elbasi, E., Zuo, L., Mehrota, K., Mohan, C., & Varshney, P. (2005). Control charts approach for scenario recognition in video sequences. Turkish journal of electrical engineering and computer sciences, 13, 303–309.
  • Hawkins, D. M., & Maboudou-Tchao, E. M. (2007). Self-multivariate exponentially weighted moving average control charting. Technometrics, 49, 199–209.
  • Hotelling, H. (1947). Multivariate quality control, illustrated by the air testing of sample bombsights. In C. Eisenhart, M. Hastay, & W. A. Wallis (Eds.), Techniques of statistical analysis (pp. 111–184). New York, NY: McGraw-Hill.
  • Kourti, T., & MacGregor, J. F. (1996). Multivariate SPC methods for process and product monitoring. Journal of Quality Technology, 28, 409–428.
  • Kumar, S., Choudhary, A. K., Kumar, M., Shankar, R., & Tiwari, M. K. (2006). Kernel distance-based robust support vector methods and its application in developing a robust K-chart. International Journal of Production Research, 44(1), 77–96.
  • Park, Y. (2005). A Statistical process control approach for network intrusion detection (Doctoral dissertation), School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA.
  • Qiu, P., & Hawkins, D. (2001). A rank based multivariate CUSUM procedure. Technometrics, 43, 120–132.
  • Sun, R., & Tsung, F. A. (2003). Kernel-distance-based multivariate control charts using support vector methods. International Journal of Production Research, 41, 2975–2989.
  • Tax, D., & Duin, R. (1999). Support vector domain description. Pattern Recognition Letters, 20, 1191–1199.
  • Tax, D., & Duin, R. (2002). Uniform object generation for optimizing one-class classifiers. Journal of Machine Learning Research, 2, 155–173.
  • Zhang, Z., Zhu, X. & Jin, J. (2007). SVC-based multivariate control charts for automatic anomaly detection in computer networks. Proceedings of the Third International Conference on Autonomic and Autonomous Systems. IEEE Computer Society Press, Athens, Greece.

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.