Statistics 322

Object Oriented Data Analysis

References



Benito, M., Parker, J., Du, Q., Wu, J., Xiang, D., Perou, C. M. & Marron, J. S. (2004) Adjustment of systematic microarray data biases, Bioinformatics, 20, 105-114
(cited 9/6/05)

Bookstein, F. L. (1984) A statistical method for biological shape comparison, Journal of Theoretical Biology, 107, 475-520 (cited 9/29/05)

Born, M. and Wolf, E. (1980) Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, Pergamon Press, New York (cited 9/20/05)

Chaudhuri, P. and Marron, J. S. (1999) SiZer for exploration of structure in curves, Journal of the American Statistical Association, 94, 807-823 (cited 9/27/05)

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 in Medical Imaging, H. H. Barret and A. F. Gmitro, eds. Lecture Notes in Computer Science 687, 33-47, Springer Verlag, Berlin (cited 10/4/05)

Dryden, I. L. and Mardia, K. V. (1988) Statistical Shape Analysis, Wiley, New York (cited 9/29/05)

Fletcher, P.T. (2004) Statistical Variability in Nonlinear Spaces: Application to Shape Analysis and DT-MRI, Ph.D. Thesis, Department of Computer Science, University of North Carolina, http://www.cs.unc.edu/%7Efletcher/fletcher_thesis.pdf.gz (cited 10/4/05)


Gower, J. C. (1974) The mediancentre, Applied Statistics, 23, 466-470 (cited (9/20/05)

Haldane, J. B. S. (1948) Note on the median of a multivariate distribution, Biometrika, 35, 414-415 (cited 9/20/05)

Hampel, F. M., Ronchetti, E. R.,  Rouseeuw, P. J. & Stahel, W. A. (1986) Robust Statistics: the Approach Based on Infuence Functions, Wiley, New York (cited 9/20/05)

Huber, P. (1981) Robust Statistics. Wiley, New York (cited 9/20/05)

Hubert, M., Rousseeuw, P.J., Vanden Branden, K. (2005), ROBPCA: a new approach to robust principal component analysis, Technometrics, 47, 64-79 (cited 9/27/05)



Inselberg, A. (1985) The plane with parallel coordinates, The Visual Computer, 1, 69-91 (cited 9/15/05)

Jones, M. C., Marron, J. S. and Sheather, S. J. (1996) A brief survey of bandwidth selection for density estimation, Journal of the Amnerican Statistical Association, 91, 401-407 (cited 9/27/05)

Keleman, A. Szèkely, G. and Gerig, G. (1997 & 1999) Three dimensional model-based segmentation, TR-178 Technical Report Image Scinec Lab, ETH Zurich & Elastic model-based segmentation of 3-D neuroradiological dat sets, IEEE Transactions on Medical Imaging, 18, 828-839 (cited 10/4/05)

Kendall, D. G. (1981) The statistics of shape, in Barnett, V. (ed.) Interpreting Multivariate Data, Wiley, New York (cited 9/29/05)

Kendall, D. G. (1984) Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces, Bulletin of the London Mathematics Society, 16, 81-121 (cited 9/29/05)

Kruskal, J. B. (1964a). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis, Psychometrika, 29, 1-27
(cited 9/13/05)

Kuo, P. S., Jenssen, T.-K., Butte, A. J., Ohno-Machado, L. & Kohane, I. S. (2002) Analysis of matched mRNA measurements from two different microarray technologies, Bioinformatics, 18, 405-412
(cited 9/6/05)

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 9/20/05)

Lindeberg, T. (1994)  Scale Space Theory in Computer Vision, Kluwer, Boston (cited 9/27/05)

Liu, R. Y. (1990) On a notion of data depth based on random simplices, Annals of Statistics, 18, 405-414 (cited 9/20/05)

Locantore, N., Marron, J. S., Simpson, D. G., Tripoli, N., Zhang, J. T. and Cohen, K. L. (1999) Robust PCA for Functional Data, Test, 8, 1-73 (cited 9/20/05)

Milasevic, P. and Ducharme, J. R. (1987) Uniqueness of the spatial median, Annals of Statistics, 15, 1332-1333 (cited 9/20/05)

Owen, S. J. (1998) A survey of Mesh Generation Technology, http://www.imr.sandia.gov/papers/imr7/owen_meshtech98.ps.gz (cited 10/4/05)

Ramsay, J. O. & Silverman, B. W. (2005) Functional Data Analysis, 2nd Edition, Springer, N.Y. ISBN 0-387-40080-X (cited 8/30/05)

Ramsay, J. O. & Silverman, B. W. (2002) Applied Functional Data Analysis, Springer, N.Y. ISBN 0-387-95414-7 (cited 8/30/05)
 
Ramsay, J. O. (2005) Functional Data Analysis Web Site, http://ego.psych.mcgill.ca/misc/fda/
  (cited 8/30/05)

Rao, C. R. (1958) Some statistical methods for comparison of growth curves, Biometrics, 14, 1-17
(cited 9/6/05)

Rousseeuw, P. J. and Leroy, A. M. (1987) Robust Regression and Outlier Detection, Wiley, New York (cited 9/20/05)

Schmitz, H. P. and Marron, J. S. (1992) Simultaneous estimation of several size distributions of income, Econometric Theory, 8, 476-488 (cited 9/27/05)

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 9/20/05)

Spellman, P. T., Sherlock, G., Zhang, M.Q., Iyer, V.R., Anders, K., Eisen, M.B., Brown, P.O., Botstein, D. and Futcher, B. (1998), Comprehensive Identification of Cell Cycle-regulated Genes of the Yeast Saccharomyces cerevisiae by Microarray Hybridization, Molecular Biology of the Cell, 9, 3273-3297 (cited 9/6/05)

Staudte. R. G. & Sheather, S. J. (1990) Robust Estimation and Testing, Wiley, New York (cited 9/20/05)

Yushkevich, P., Pizer, S. M., Joshi, S., and Marron, J. S. (2001) Intiutive, localized analysis of shape variability, Information Processing in Medical Imaging (IPMI), eds. Insana, M. F. and Leahy, R. M. 402-408 (cited 9/15/05, 10/4/05)

Wand, M. P. and Jones, M. C. (1995) Kernel Smoothing, Chapman and Hall, London (cited 9/27/05)

Zhao, X., Marron, J.S. and Wells, M.T. (2004) The Functional Data View of Longitudinal Data, Statistica Sinica, 14, 789-808
(cited 9/6/05)