Last updated Feb 11 Possible topics: See me if you'd like some help with key references/starting points, or if you would like help in choosing a different topic. RUNNING LIST OF POSSIBLE PROJECTS/TOPICS: Density estimation: - bump hunting - how to deal with high dimensional data - correlated $X_i$'s - comparison of methods for choosing bandwidth - methods for clustering (??) - projection pursuit - understanding local likelihood(!) - when measurment error is present - geyser data ? how to analyze data sets like this Software to play with (many many choices!): - using Steve Marron's sizer software for exploring densities and regression functions http://www.stat.unc.edu/faculty/marron.html - David Scott's averaged histograms (ASH) http://www.stat.rice.edu/~scottdw/ - David Scott's mode tree for density bump hunting (kind of like sizer) http://www.stat.rice.edu/~scottdw/ Regression function estimation: - longitudinal data analysis - count data/0-1 data - correlated errors - selecting the number of knots for penalized splines (Ruppert's recent J Comp and Graph Stats paper) - variance estimation for heteroscedastic data Functional Data Analysis: