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 confidence sets in L$^2$
– Probability Theory and Related Fields
(2013)
156,
1
(doi: 10.1007/s00440-012-0446-z)
A Donsker theorem for Lévy measures
– Journal of Functional Analysis
(2012)
263,
3306
(doi: 10.1016/j.jfa.2012.08.012)
RATES OF CONTRACTION FOR POSTERIOR DISTRIBUTIONS IN Lr-METRICS, 1 ≤ r ≤ ∞
– The Annals of Statistics
(2011)
39,
2883
(doi: 10.1214/11-AOS924)
On adaptive inference and confidence bands
– The Annals of Statistics
(2011)
39,
2383
(doi: 10.1214/11-aos903)
Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds
– Probability Theory and Related Fields
(2011)
153,
363
(doi: 10.1007/s00440-011-0348-5)
Global uniform risk bounds for wavelet deconvolution estimators
– The Annals of Statistics
(2011)
39,
201
(doi: 10.1214/10-AOS836)
Efficient simulation-based minimum distance estimation and indirect inference
– Mathematical Methods of Statistics
(2011)
19,
327
(doi: 10.3103/S1066530710040022)
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)
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