Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
On Convergence and Convolutions of Random Signed Measures
– Journal of Theoretical Probability
(2008)
22,
38
(doi: 10.1007/s10959-008-0177-3)
A simple adaptive estimator of the integrated square of a density
– Bernoulli
(2008)
14,
47
(doi: 10.3150/07-bej110)
An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation
– Probability Theory and Related Fields
(2008)
143,
569
(doi: 10.1007/s00440-008-0137-y)
Uniform central limit theorems for Kernel density estimators
– Probability Theory and Related Fields
(2007)
141,
333
(doi: 10.1007/s00440-007-0087-9)
Bracketing metric entropy rates and empirical central limit theorems for function classes of besov- and sobolev-type
– Journal of Theoretical Probability
(2007)
20,
177
(doi: 10.1007/s10959-007-0058-1)
Donsker-type theorems for nonparametric maximum likelihood estimators
– Probability Theory and Related Fields
(2006)
138,
411
(doi: 10.1007/s00440-006-0031-4)
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