References
- Azzalini, A. (2005). The skew-normal distribution and related multivariate families. Scandinavian Journal of Statistics, 32, 159–188. doi:10.1111/j.1467-9469.2005.00426.x
- Bai, D.S., & Choi, I.S. (1995). X and R control charts for skewed populations. Journal of Quality Technology, 27, 120–131. Retrieved from http://207.67.83.164/pub/jqt/past/backissues/1995/april.html
- Balakrishnan, N., & Kocherlakota, S. (1986). Effects of nonnormality on X charts: Single and assignable cause model. Sankhyã: The Indian Journal of Statistics B, 48, 439–444. Retrieved from http://www.jstor.org/stable/25052468
- Balakrishnan, N., Triantafyllou, I.S., & Koutras, M.V. (2009). Nonparametric control charts based on runs and Wilcoxon-type-rank sum statistics. Journal of Statistical Planning and Inference, 139, 3177–3192. doi:10.1016/j.jspi.2009.02.013
- Balakrishnan, N., Triantafyllou, I.S., & Koutras, M.V. (2010). A distribution-free control chart based on order statistics. Communications in Statistics – Theory and Methods, 39, 3652–3677. doi:10.1080/03610920903324858
- Brownie, C., Habicht, J.-P., & Robson, D.S. (1983). An estimation procedure for the contaminated normal distributions arising in clinical chemistry. Journal of the American Statistical Association, 78, 228–237. doi:10.1080/01621459.1983.10477954
- Castagliola, P. (2000). X control chart for skewed populations using a scaled weighted variance method. International Journal of Reliability, Quality and Safety Engineering, 7, 237–252. doi:10.1142/S0218539300000201
- Castagliola, P. (2001). Control charts for data having a symmetrical distribution with a positive Kurtosis. In Recent advances in reliability and quality engineering (pp. 1–16). Singapore: World Scientific Publishers.
- Chan, L.K., Hapuarachchi, K.P., & Macpherson, B.D. (1988). Robustness of X and R charts. IEEE Transactions on Reliability, 37, 117–123. doi:10.1109/24.3728
- Chan, L.K., & Heng, J.K. (2003). Skewness correction X and R charts for skewed distributions. Naval Research Logistics, 50, 555–573. doi:10.1002/nav.10077
- Chakraborti, S., van der Laan, P., & van de Wiel, M.A. (2004). A class of distribution-free control charts. Journal of Royal Statistical Society C–Applied Statistics, 53, 443–462. doi:10.1111/j.1467-9876.2004.0d489.x
- Chen, J., Tan, X., & Zhang, R. (2008). Inference for normal mixtures in mean and variance. Statistica Sinica, 18, 443–465. doi:10.1.1.514.1706
- Cox, M.G., & Iguzquiza, E.P. (2001). The total median and its uncertainty. In Ciarlini, P., et al. (Eds.), Advanced mathematical and computational tools in metrology, V (pp. 106–117). Rome, Italy.
- Figueiredo, F. (2003). Robust estimators for the standard deviation based on a bootstrap sample. In Fournier, B., et al. (Eds.), Proceedings of the 13th European Young Statisticians Meeting, EYSM (pp. 53–62). Ovronnaz, Switzerland.
- Figueiredo, F., & Gomes, M.I. (2004). The total median in Statistical Quality Control. Applied Stochastic Models in Business and Industry, 20, 339–353. doi:10.1002/asmb.545
- Figueiredo, F., & Gomes, M.I. (2009). Monitoring industrial processes with robust control charts. Revstat–Statistical Journal, 7, 151–170. Retrieved from https://www.ine.pt/revstat/pdf/rs090202.pdf
- Figueiredo, F., & Gomes, M.I. (2013). The skew-normal distribution in SPC. Revstat–Statistical Journal, 11, 83–104. Retrieved from https://www.ine.pt/revstat/pdf/rs130105.pdf
- Gleason, J.R. (1993). Understanding elongation: The scale contaminated normal family. Journal of the American Statistical Association, 88, 327–337. doi:10.2307/2290728
- Ghosh, D., Chinnaiyan, A.M. (2009). Genomic outlier profile analysis: Mixture models, null hypotheses and nonparametric estimation. Biostatistics, 10, 60–69. doi:10.1093/biostatistics/kxn015
- Hoaglin, D.M., Mosteller, F., & Tukey, J.W. (1983). Understanding robust and exploratory data analysis. New York: Wiley.
- Janacek, G.J., & Meikle, S.E. (1997). Control charts based on medians. Journal of Royal Statistical Society D–The Statistician, 46, 19–31. doi:10.1111/1467-9884.00056
- Langenberg, P., & Iglewicz, B. (1986). Trimmed mean and R charts. Journal of Quality Technology, 183, 152–161. Retrieved from http://207.67.83.164/pub/jqt/past/backissues/1986/july.html
- Liang, K.Y., & Rathouz, P.J. (1999). Hypothesis testing under mixture models: Application to genetic linkage analysis. Biometrics, 55, 65–74. doi:10.1111/j.0006-341X.1999.00065.x
- McLaren, C.E. (1996). Mixture models in haematology: A series of case studies. Statistical Methods in Medical Research, 5, 129–153. doi:10.1177/096228029600500203
- Rocke, D.M. (1989). Robust control charts. Technometrics, 31, 173–184. doi:10.1080/00401706.1989.10488511
- Rocke, D.M. (1992). XQ and RQ charts: Robust control charts. The Statistician, 41, 97–104. doi:10.2307/2348640
- Schilling, E.G., & Nelson, P.R. (1976). The effect of non-normality on the control limits of the charts. Journal of Quality Technology, 8, 183–188. Retrieved from http://207.67.83.164/pub/jqt/past/backissues/1976/october.html