Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections
– BERNOULLI
(2010)
16,
1137
(doi: 10.3150/09-bej239)
CONFIDENCE BANDS IN DENSITY ESTIMATION
– The Annals of Statistics
(2010)
38,
1122
(doi: 10.1214/09-aos738)
UNIFORM LIMIT THEOREMS FOR WAVELET DENSITY ESTIMATORS
– The Annals of Probability
(2009)
37,
1605
(doi: 10.1214/08-aop447)
Uniform central limit theorems for sieved maximum likelihood and trigonometric series estimators on the unit circle
(2009)
5,
338
Adaptation on the space of finite signed measures
– Mathematical Methods of Statistics
(2008)
17,
113
(doi: 10.3103/s1066530708020026)
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)
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