Professor of Mathematical Statistics
Research Interests: Mathematical Statistics; specifically high-dimensional inference, Bayesian nonparametrics, statistics for PDEs and inverse problems, empirical process theory.
Publications
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)
Uniform central limit theorems for sieved maximum likelihood and trigonometric series estimators on the unit circle
(2009)
5,
338
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