References
- Bersimis, S., Psarakis, S., Panaretos, J. (2007). Multivariate statistical process control chart: an overview. Quality and Reliability Engineering International 23:517–543.
- Dokouhaki, P., Noorossana, R. (2013). A copula Markov CUSUM chart for monitoring the bivariate auro-correlated binary observation. Quality and Reliability Engineering International 29:911–919.
- Fatahi, A. A., Dokouhaki, P., Moghaddam, B. F. (2011). A bivariate control chart based on copula function. In IEEE International Conference on Quality and Reliability (ICQR), pp.292–296.
- Fatahi, A. A., Noorossana, R., Dokouhaki, P., Moghaddam, B. F. (2012). Copula-based bivariate ZIP control chart for monitoring rare events. Communications in Statistics Theory and Methods 41:2699–2716.
- Fuchs, C., Kenett, R. S. (1998). Multivariate Quality Control: Theory and Applications. New York: Marcel Dekker, INC.
- Genest, C., McKay, R. J. (1986). The joy of copulas: bivariate distributions with uniform marginals. American Statistician 40:280–283.
- Genest, C., Rivest, L.-P. (1993). Statistical inference procedures for bivariate Archimedean copulas. Journal of the American Statistical Association 88:1034–1043.
- Hofert, M., achler, M. (2011). Nested Archimedean copulas meet R: the nacopula package. Journal of Statistical Software 39:1–20.
- Hofert, M., achler, M., McNeil, A. J. (2012). Likelihood inference for Archimedean copulas in high dimensions under known margins. Journal of Multivariate Analysis 110:133–150.
- Hryniewicz, O. (2012). On the robustness of the Shewhart control chart to different types of dependencies in data. Frontiers in Statistical Quality Control 10:20–33.
- Hryniewicz, O., Szediw, A. (2010). Sequential signals on a control chart based on nonparametric statistical tests. Frontiers in Statistical Quality Control 9:99–108.
- Lowry, C. A., Montgomery, D. C. (1995). A review of multivariate control charts. IIE Transactions 7:800–810.
- Montgomery, D. C. (c2009). Statistical Quality Control: A Modern Introduction, 6th ed. New York: Wiley.
- Nelsen, R. B. (2006). An Introduction to Copulas. 2nd ed. New York: Springer.
- Quessy, J.-F., Said, M., Favre, A.-C. (2013). Multivariate Kendall's tau for change-point detection in copulas. The Canadian Journal of Statistics 41:65–82.
- Shewhart, W. A. (1931). Economic Control of Quality of Manufactured Product. New York: Van Nostrand.
- Sklar, A. (1973). Random variables, joint distributions, and copulas. Kybernetika 9:449–460.
- Tracy, N. D., Young, J. C., Mason, R. L. (1992). Multivariate control charts for individual observations. Journal of Quality Technology 24:88–95.
- Trivedi, P. K., Zimmer, D. M. (2005). Copula modeling: An introduction for practitioners, Foundations and Trends in Econometrics 1:1–111.
- Verdier, G. (2013). Application of copulas to multivariate control charts. Journal of Statistical Planning and Inference 143:2151–2159.
- Yan, J. (2007). Enjoy the joy of copulas: with a package copula. Journal of Statistical Software 21:1–21.