Functional Data Analysis References

from Cornell Course OR779, Spring semester, 2002

Aizerman, Braverman and Rozoner (1964) Automation and Remote Control, 15, 821-837. (cited 4/22/02)

Born, M. and Wolf, E. (1980) Principles of optics:  electromagnetic theory of propagation, interference and diffraction of light. Pergamon Press, New York. (cited 1/21/02)

Boser, Guyon & Vapnik (1992) in Fifth Annual Workshop on Computational Learning Theory, ACM. (cited 4/22/02)

Burges (1998) A tutorial on support vector machines for pattern recognition, Data Mining and Knowledge Discovery, 2, 955-974, see also web site: (cited 4/22/02)

Chaudhuri, P. and Marron, J. S. (1999) SiZer for exploration of structure in curves, Journal of the American Statistical Association, 94, 807-823. (cited 2.27/02)

Cootes, T. F., Hill, A., Taylor,C. J. and Haslam, J. (1993) The use of active shape models for locating structures in medical images, Information Processing in Medical Imaging, H. H. Barret and A. F. Gmitro, eds., Lecture Notes in Computer Science 687, 33-47, Springer Verlag, Berlin. (cited 1/21/02)

Diaconis and Freedman (1984) Annals of Statistics, 12, 793-815. (cited 3/11/02)

Duda, R. O., Hart, P. E. and Stork, D. G. (2001) Pattern Classification, Wiley. (cited 4/03/02)

Gower,J.C. (1974). The mediancentre. Applied Statistics, 23, 466-470. (cited 2/6/02)

Haldane, J. B. S. (1948) Note on the median of a multivariate distribution. Biometrika, 35, 414-415. (cited 2/6/02)

Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J. and Stahel, W. A. (1986) Robust statistics: the approach based on influence functions, Wiley, New York. (cited 2/4/02)

Huber, P. J. (1981) Robust Statistics, Wiley, New York. (cited 2/4/02)

Inselberg, A. (1985) The plane with parallel coordinates, The Visual Computer, 1, 69-91. (cited 1/21/02)

Hyvärinen and Oja (1999) Independent Component Analysis: A Tutorial,

Hyvärinen, A., Karhunen, J. and Oja, E. (2001) Independent
Component Analysis, John Wiley & Sons.

Johnstone (2001)  "On the distribution of the largest principal component", Annals of Statistics, 29, 291-327, internet available at: (cited 1/30/02)

Jones M. C., Marron, J. S. and Sheather, S. J. (1996) A brief survey of bandwidth selection for density estimation, Journal of the American Statistical Association, 91, 401-407. (cited 02/27/02)

Kelemen, A., Szekely, G. and Gerig, G. (1997) Three dimensional model-based segmentation, TR-178 Technical Report Image Science Lab, ETH Zurich. (cited 1/21/02, 4/01/02)

Lee, T. W. (1998) Independent Component Analysis: Theory and Applications, Kluwer. (cited 1/21/02)

Li, G. and Chen, Z. (1985) “Projection pursuit approach to robust dispersion matrices and principal components: primary theory and Monte Carlo”, Journal of the American Statistical Association, 80, 759-776. (cited 2/6/02)

Lindeberg, T. (1994) Scale space theory in computer vision, Kluwer, Boston. (cited 1/27/02)

Liu, R. Y. (1990) “On a notion of data depth based on random simplices”, Annals of Statistics, 18, 405-414. (cited 2/6/02)

Locantore, N., Marron, J. S., Simpson, D. G., Tripoli, N., Zhang, J. T. and Cohen, K. L. (1999) Robust Principal Component Analysis for Functional Data, Test, 8, 1-73.(cited 1/21/02 & 2/4/02)

Milasevic, P. and Ducharme, G. R. (1987) Uniqueness of the spatial median, Annals of Statistics, 15, 1332-1333. (cited 2/6/02)

Ramsay, J. O. & Silverman, B. W. (1997) Functional Data Analysis, Springer, N.Y. (cited 1/21/02 & 1/30/02)

Rousseeuw, P. J. and Leroy, A. M. (1987) Robust regression and outlier detection, Wiley, New York. (cited 2/6/02)

Schmitz, H. P. and Marron, J. S. (1992) Simultaneous estimation of several size distributions of  income, Econometric Theory, 8, 476-488. (cited 2/27/02)

Schölkopf, Smola and Müller (1998) “Nonlinear component analysis as a kernel eigenvalue problem”, Neural Computation, 10, 1299-1319. (cited 4/22/02)

Schwiegerling, J., Greivenkamp, J. E., and Miller, J. M.  (1995) Representation of videokeratoscopic height data with Zernike polynomials,  Journal of the Optical Society of America, Series A, 12, 2105-2113. (cited 1/21/02)

Staudte, R. G. and Sheather, S. J. (1990) Robust estimation and testing, Wiley, New York. (cited 2/4/02)

Vapnik (1982) Estimation of dependences based on empirical data, Springer (Russian version, 1979). (cited 4/22/02)

Vapnik (1995) The nature of statistical learning theory, Springer. (cited 4/22/02)

Wand, M. P. and Jones, M. C. (1995) Kernel Smoothing, Chapman and Hall: London. (cited 2/27/02)

Yushkevich, P., Pizer, S. M., Joshi, S., and Marron, J. S. (2001) “Intuitive, Localized Analysis of Shape Variability”, Information Processing in Medical Imaging (IPMI), eds: Insana, M. F. and Leahy. R. M., 402-408.  (cited 4/3/02)