Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
Confidence sets in sparse regression
– The Annals of Statistics
(2013)
41,
2852
(doi: 10.1214/13-aos1170)
Spatially adaptive density estimation by localised Haar projections
– Annales de l'institut Henri Poincare (B) Probability and Statistics
(2013)
49,
900
(doi: 10.1214/12-aihp485)
Nonparametric bernstein-von mises theorems in gaussian white noise
– The Annals of Statistics
(2013)
41,
1999
(doi: 10.1214/13-aos1133)
Adaptive confidence sets in L$^2$
– Probability Theory and Related Fields
(2013)
156,
889
(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 L r-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)
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