Statistics 322

Object Oriented Data Analysis


Ahn, J. & Marron, J.S. (2005) Maximal Data Piling in Discrimination, (cited 11/8/05)

Aizerman, Braverman and Rozoner (1964) Theoretical foundations of the potential function method in pattern recognition learning, Automation and Remote Control, 15, 821-837 (cited 11/8/05)

Bhattacharya, R. and Patrangenaru, V. (2003) Large sample theory of intrinsic and extrinsic sample means on manifolds, Annals of Statistics, 31, 1-29 (cited 10/11/05)

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

Bickel, P.J. and Levina, E. (2004) Some theory for Fisher's Linear Discriminant function, "naive Bayes", and some alternatives when there are many more variables than observations, Bernoulli, 10, 989-1010 (cited 11/8/05)

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)

Boser, B. E., Guyon, I. and Vapnik, V. (1992) A Training Algorithm for Optimal Margin Classifiers, in Fifth Annual Workshop on Computational Learning Theory, ACM (cited 12/1/05)

Cardoso, J. (1989) Source separation using higher order moments. In International Conference on Acoustics, Speech and Signal Processing, pages 2109-2112
(cited 12/8/05)

Cardoso, J. F. & Souloumiac, A. (1993) Blind beamforming for non-Gaussian signals, IEEE Proceedings-F., 140, 771-774
(cited 12/8/05)

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)

Cristianini, N. and Shawe-Taylor, J. (2000) An Introduction to Support Vector Machines, Cambridge University Press
(cited 12/1/05)

Diaconis,P. and Freedman, D. (1984) Asymptotics of graphical projection pursuit, Annals of Statistics, 12, 793-815
(cited 12/8/05)

Dryden, I. L. and Mardia, K. V. (1998) Statistical Shape Analysis, Wiley, New York (cited 9/29/05)

Duda, R. O. and Hart P. E. (1973) Pattern classification and scene analysis, Wiley, New York (cited 10/11/05)

Duda, R. O., Hart P. E. and Stork, D. G. (2001) Pattern classification, Wiley, New York (cited 10/11/05)

Fisher, N. I., Lewis, T. and Emgleton, B. J. J. (1987) Statistical analysis of spherical data, Cambridge University Press, Cambridge (cited 10/4/05)

Fisher, N. I. (1993) Statistical analysis of circular data, Cambridge University Press, Cambridge (cited 10/4/05)

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, (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)

Hall, P., Marron, J. S. & Neeman, A. (2004) Geometric representation of high dimension, low sample size data, Journal of the Royal Statistical Society Series B, 67, 427-444
(cited 12/8/05)

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

Hendriks, H. W. M., Janssen, J. H. M. and Ruymgaart, F. H. (1992) A Cramér-Rao type inequality for random variables in Euclidean manifolds, Sankhya, A 54, 387-401 (cited 10/11/05)

Hsu, C.-W. and Lin, C.-J. (2002) A comparison of methods for multiclass support vector machines, IEEE Transactions on Neural Networks, 13, 415-425
(cited 11/8/05)

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)

Hyvärinen and Oja (1999) Independent Component Analysis: A Tutorial, ??? 
(cited 12/8/05)

Hyvärinen, A., Karhunen, J. and Oja, E. (2001) Independent Component Analysis, John Wiley & Sons, New York
  (cited 12/8/05) 

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)

Kim, P. T. (1998) Deconvolution density estimation on SO(N), Annals of Statistics, 1083-1102 (cited 10/11/05)

Koch, I., Marron, J. S. and Chen, J. (2003) Simulation of Non-Gaussian Populations of

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. and Kohane, I. S. (2002) Analysis of matched mRNA measurements from two different microarray technologies, Bioinformatics, 18, 405-412
(cited 9/6/05)

Lee, J. M. and
Ruymgaart, F. H. (1996) Nonparametric curve estimation on Stiefel manifolds, Journal of Nonparametric Statististics, 6, 57-68 (cited 10/11/05)

Lee, T. W. (1998) Independent Component Analysis: Theory and Applications, Kluwer, Dordrecht
(cited 12/8/05)

Lee, Y., Lin, Y. and Wahba, G. (2004) Multicategory Support Vector Machines, Theory, and Application to the Classification of Microarray Data and Satellite Radiance Data, Journal of the American Statistical Association, 99, 67-81 (cited 12/8/05)

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)

Mardia, K. V.  (1972) Statistics  of Directional Data,  Academic Press, London (cited 10/4/05)

Mardia, K. V. and Jupp, P. E. (2000) Directional Statistics, Wiley, New York (cited 10/4/05)

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, (cited 10/4/05)

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

Ramsay, J. O. and 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,
  (cited 8/30/05)

Rao, C. R. (1958) Some statistical methods for comparison of growth curves, Biometrics, 14, 1-17
(cited 9/8/05)

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

Ruymgaart, F. H.
(1989) Strong uniform convergence of density estimators on spheres. Journal of Statistical Planning and  Inference, 23, 45-52 (cited 10/11/05)

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)

Schölkopf, B., Smola, A. and Müller, K. R. (1998) Nonlinear component analysis as a kernel eigenvalue problem, Neural Computation, 10, 1299-1319 (cited 12/1/05)

Schölkopf, B. and Alex Smola, A. (2002) Learning with Kernels, MIT Press
(cited 12/1/05)

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

Vapnik, V, N. (1982) Estimation of dependences based on empirical data, Springer (Russian version, 1979)

Vapnik, V. N. (1995) The nature of statistical learning theory, Springer (cited 12/1/05)

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

Wang, H. and Marron, J. S. (2005) Object oriented data analysis: sets of trees, (cited 10/11/05)

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)

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)