Honors and Awards
Vicki & David Craver Academic
Leadership Grant (2013)
Faculty Positions at U.N.C. - Chapel Hill
Professor, Department of
Statistics & Operations Research (2003 - present)
Carlstein's main research interests are in methods of
nonparametric statistical inference, that is, methods which do not require
the user to know what particular distribution or model produced the data at
hand. Such methods are needed when the statistician lacks prior knowledge of
the underlying data-generating process, or when the statistician wants a
robust corroborator for results from a parametric analysis of the data. He is
especially interested in nonparametric estimation of change-points and
boundaries, and of sampling distributions (via resampling).
The Use of
Subseries Values for Estimating the Variance of a General Statistic from a
Stationary Sequence, The Annals of Statistics, 14 (1986), 1171-1179.
Asymptotic Normality for a General Statistic from a Stationary Sequence, The Annals of Probability, 14 (1986), 1371-1379.
Simultaneous Confidence Regions for Predictions, The American Statistician, 40 (1986), 277-279.
Similarity Among Fuzzy Concepts: A Comparative Analysis, International
Journal of Approximate Reasoning, 1 (1987), 221-242 (with R. Zwick, D. Budescu).
Change-Point Estimation, The Annals of Statistics, 16 (1988), 188-197.
Boundary Estimation, Journal of the American Statistical Association, 87 (1992), 430-438 (with C. Krishnamoorthy).
Nonparametric Estimation of the Moments of a General Statistic Computed from Spatial Data, Journal of the American Statistical Association, 89 (1994), 496-500 (with M. Sherman).
Nonparametric Change-Point Estimation for Data from an Ergodic Sequence, Theory of Probability and its Applications, 38 (1994), 726-733 (with S. Lele).
Change-Point Problems, IMS Lecture Notes Monograph Series, Volume 23 (1994), vii+385 pages (Co-Editor, with H.-G. Muller, D. Siegmund).
Replicate Histograms, Journal of the American Statistical Association, 91 (1996), 566-576 (with M. Sherman).
for Dependent Data, Bernoulli, 4 (1998), 305-328 (with K. Do, P. Hall,
T. Hesterberg, H. Kunsch).
Confidence Intervals Based on Estimators with Unknown Rates of Convergence, Computational Statistics and Data Analysis, 46 (2004), 123-139 (with M. Sherman).