[1] Amiri, A., Jensen, W.A., Kazemzadeh, R.B., (2010)“ A Case Study on Monitoring Polynomial Profiles in the Automotive Industry.” Quality and Reliability Engineering International, 26, 2010, 509-520.
[2] Yeh, A.B., Huwang, L., Li, Y.M., (2009) “Profile Monitoring for a Binary Response.” IIE Transactions, 41, pp. 931 – 941.
[3] Noorossana, R., Izadbakhsh, H., “ Profile Monitoring for Multinomial Responses” (In Farsi). International Journal of Industerial Engineering and Production Management, in press.
[4] Noorossana, R., Eyvazian, M., Amiri, A., Mahmoud, M.A., (2010) “ Statistical Monitoring of Multivariate Multiple Linear Regression Profiles in Phase I with Calibration Application.” Quality and Reliability Engineering International, 26, pp. 291-303.
[5] Izadbakhsh, H., Noorossana, R., Saghaei, A., (2010) “Phase II Profile Monitoring for Ordinal Responses.” Advanced Manufacturing Technology, (Under Review), 2012.
[6] Ho, L.L., El, Said M., Kim, R.W., “Monitoring the Parameters of the Market Model by Linear Profile Procedures.” Economic Quality Control, 25, 2010, pp. 81-96.
[7] Zou, C., Ning, X., Tsung, F., (2010)“LASSO-Based Multivariate Linear Profile Monitoring.” Annals of Operations Research, 192, pp. 1-17.
[8] Woodall, W.H., Spitzner, D.J., Montgomery, D.C., Gupta, S., (2004) “Using Control Charts to Monitor Process and Product Quality Profiles.” Journal of Quality Technology, 36, 2004, pp. 309-320
[9] Stover, F. S., and Brill, R. V. (1998), “.Statistical Quality Control Applied to Ion” Chromatography Calibrations, Journal of Chromatography, A, 804, 37-43.
10] Kang, L., and Albin, S. L. (2000), “ On-Line Monitoring When the Process Yields a Linear Profile.” Journal of Quality Technology, 32, 418-426.
[11] Mahmoud, M. A., and Woodall, W. H. (2004). “Phase I Monitoring of Linear Profiles with Calibration Application.” Technometrics 46. 380-391.
[12] Woodall, W.H. (2007), “.Current Research on Profile Monitoring.” Revista Producão,17, 420-425.
[13] Brill, R.V.,(2001) “A Case Study for Control Charting a Product Quality Measure that is a Continuous Function Over Time.” Presentation at the 45th Annual Fall Technical Conference, Toronto, Ontario,
[14] Walker, E., Wright, S.P., “Comparing Curves Using Additive Models.” J. Qual. Technol, Vol. 34, 2002, pp. 118–129.
[15]Jeong, M. K. , Lu, J. C. , Wang, N. (2006). “Wavelet-based SPC procedure for complicated functional data.”
International Journal of Production Research, Volume
44, Issue
4 , 729 – 744.
Hotelling, H.H. (1947). “Multivariate Quality Control Illustrated by the Air Testing of Sample Bombsights,” Techniques of Statistical Analysis, 111-184.
[16] Williams, J.D., Woodall, W.H., Birch, J.B., (2007) “Statistical Monitoring of Nonlinear Product and Process Quality Profiles.” Quality and Reliability Engineering International, Vol. 23, pp. 925–941.
[17]Jin, J. and Shi, J. (2001) “Automatic feature extraction of waveform signals for in-process diagnostic performance improvement.” Journal of Intelligent Manufacturing, 12, 140–145.
[18]Williams, J. D., Woodall, W. H., and Birch, J. B. (2003) “Phase I Monitoring of Nonlinear Profiles.” paper presented at the 2003 Quality and Productivity Research Conference, Yorktown Heights, New York.
[19]Ding, Y., Zeng, L., Zhou, S. (2006) “Phase I Analysis for Monitoring Nonlinear Profiles in Manufacturing Processes.” Journal of Quality Technology, 38, pp. 199-216.
[20] Jensen, W. A.; Birch, J. B.; and Woodall, W. H. (2006).“Profile Monitoring via Linear Mixed Models.” Technical Report 06-2, Department of Statistics, Virginia Polytechnic Institute & State University.
[21] Peynabar, K., and Jin, J. (2011). “Characterization of non-linear profiles variations using mixed-effect models and wavelet”s.
IIE Transactions, Volume
43, Issue
4 , 275 – 290.
[22] Jensen, W.A. and Birch, J.B. (2009) “ Profile monitoring via nonlinear mixed models.” Journal of Quality Technology, 41, 18–34.
[23] Jensen, W.A., Birch, J.B. and Woodall, W.H. (2008) “Monitoring correlation within linear profiles using mixed models.” Journal of Quality Technology, 40, 167–183.
[24] Laird, N. M., andWare, J. H. (1982), “Random EffectsModels for Longitudinal Data.” Biometrics, 38, 963–974. [266]
[25] Diggle, P. J., Heagerty, P., Liang, K. Y. and Zeger, S. L. (2002). “Analysis of Longitudinal Data.” (2nd ed). Oxford University Press, Oxford, U.K.
[26] Abramovich, F. and Angelini, C. (2006), “Testing in Mixed-Effects FANOVA Models.” Journal of Statis-tical Planning and Inference, 136, 4326-4348.
[27] Gu, C. (2013) “Smoothing Spline ANOVA Models.” New York: Springer.
[28] Antoniadis, A. and Sapatinas, T. (2004). “Estimation and Inference in FunctionalMixed-effects Models.” Technical Report, Department of Mathematics and Statistics,University of Cyprus, Nicosia
[29] Morris, J. S. and Carroll, R. (2006). “Wavelet-based Functional Mixed Models.” Journal of the Royal Statistical Society: Series B, 68(2), 179-199.
[30] Morris, J. S., Arroyo, C., Coull, B. A., Ryan, L. M. and Gortmaker, S. L. (2006).“Using Wavelet-Based Functional Mixed Models to characterize Population Heterogeneity in Accelerometer Profiles: A Case Study.” Journal of the American StatisticalAssociation, 101(476), 1352-1364.
[31]Qiu, P., Zou, C., & Wang, Z. (2010). “Nonparametric profile monitoring by mixed effects modeling.” (withdiscussions). Technometrics, 52, 265–277.
[32]Qiu, P., & Zou, C. (2010). “Control chart for monitoring nonparametric profiles with arbitrary design.” Statistica Sinica, 1655–1682
[33] Shi, M., Weiss R. E., and Taylor, J. M. G. (1996), “An Analysis of Paediatric CD4 Counts for Acquired Immune Deficiency Syndrome Using Flexible Random Curves.” AppliedStatistics, 45, 151-163.
[34] Rice, J. A. and Wu, C. O., (March 2001), “Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves.” Biometrics, 57, 253-259.
[36]Abdel-Salam, A.-S., and Birch, J. B. (2009), “Profile-Monitoring Analysis With Fixed and Random Effects Using Nonparametric and Semiparametric Methods.” contributed paper presented at the Joint Statistical Meetings, August 2009, Washington, DC. [286,287]
[37] Wahba, G. (1990) “Spline Models for Observational Data.” Philadelphia: Society for Industrial and Applied Mathematics.
[38] Chen, Z. (1993) Fitting multivariate regression Journal of the Royal Statistical Society. Series B (Methodological),Vol. 55, No. 2 , pp. 473-491
Demidenko, E. (2004), “ Mixed Models: Theory and Applications”. New York: Wiley.
[39]Gu, C., Bates, D. M., Chen, Z. and Wahba, G. (1989) “The computation of GCV functions through Householdertridiagonalization with application to the fitting of interaction spline models.” SIAM J. Matrix Anal. Applic.,10, 457–480
[40] Wahba, G. (1978) “ Improper priors, spline smoothing and the problem of guarding against model errors in regression.” J. R. Statist. Soc. B, 40, 364–372.
[41] Aronszajn, N. (1950) “Theory of reproducing kernels.” Trans. Am. Math. Soc., 68, 337–404.
[42] Kimeldorf, G. S. and Wahba, G. (1971). “Some results on Tchebycheffian spline functions.” J. Math. Anal. Appl. 33 82-94.
[43] Harville, D. (1976). “Extension of the Gauss-Markov theorem to include the estimation of random effects.” Ann. Statist. 4 384-395.
[44] Hawkins, D. M., and Olwell, D. H. (1998), “Cumulative Sum Charts and Charting for Quality Improvement.” New York: Springer-Verlag.
[45] Zou, C., Tsung, F. and Wang, Z. (2008) “Monitoring profiles based on non-parametric regression methods.” Technometrics, 50, 512–526.