Serge Guillas

School of Mathematics
Georgia Institute of Technology

My primary research interest is Functional Data Analysis. For examples, software, bibliography and more see Jim Ramsay's FDA website here.
I am also interested in Time Series and Environmental Statistics.

I have been involved in an interdisciplinary effort to assess the long term evolution of stratospheric ozone (see the World Meteorological Organization and U.S. Environmental Protection Agency ozone websites).

You can find my CV here.

Teaching:

Spring 2007: Math 6267, Multivariate Statistical Analysis

Publications:

1. Non-causality and functional discretization, limit theorems for ARHX(1) processes [in French], C. R. Acad. Sci. Paris, t. 331, Série I, 91-94, 2000.
2. Rates of convergence of autocorrelation estimates for autoregressive Hilbertian processes, Statistics and Probability Letters, 55, n. 3, 281-291, 2001.
3. The inclusion of exogenous variables in functional autoregressive ozone forecasting, Environmetrics, 13, 759-774 (with J. Damon), 2002.
4. Doubly stochastic Hilbertian processes. Journal of Applied Probability 39, n. 3, 566-580, 2002.
5. Using chemistry-transport modeling in statistical analysis of stratospheric ozone trends from observations, S. Guillas, M. L. Stein, D. J. Wuebbles, J. Xia, J. Geophys. Res., 109, D22303, doi:10.1029/2004JD005049, 2004.
6. Estimation and simulation of autoregressive Hilbertian processes with exogenous variables, Statistical Inference for Stochastic Processes, 8, 185-204 (with J. Damon), 2005.
7. Functional Samples and Bootstrap for Predicting Sulfur Dioxide Levels, B. Fernández de Castro; S. Guillas; W. González Manteiga, Technometrics, 47, No. 2, 212-222, 2005.
8. Statistical diagnostic and correction of a chemistry-transport model for the prediction of total column ozone, S. Guillas, G. C. Tiao, D. J. Wuebbles, A. Zubrow, Atmos. Chem. Phys., 6, 525-537, 2006.
9. Examination of ozonesonde data for trends and trend changes incorporating solar and arctic oscillation signals, Miller A.J., Cai A., Tiao G.C., Wuebbles D.J., Flynn L.E., Yang S.K., Weatherhead E.C., Fioletov V., Petropavlovskikh I., Meng X.L., Guillas S., Nagatani R.M. and Reinsel G.C., J. Geophys. Res., 111, D13305, doi:10.1029/2005JD006684, 2006.

Technical Reports:

Guillas, S., Lai, M.-J., Approximation of functional regression models with bivariate splines, submitted, 2007.
Guillas, S., J. Bao, Y. Choi, and Y. Wang, Downscaling of chemical transport ozone forecasts over Atlanta, submitted, 2007.
Draghicescu, D., Guillas, S., and Wu, W. B., Direct Quantile Estimation for Locally Stationary Time Series, with Applications to Ozone Data, submitted, 2006.
Guillas, S.; Rhomari, N.; Zhang, J. [in French], Bilan de l'existant en matière de prévision statistique des pics de pollution, Laboratoire Central de Surveillance de la Qualité de l'Air, 2000.