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Uwe Einmahl
Professor of Mathematics
- Address : Vrije Universiteit Brussel
Department of Mathematics
Pleinlaan 2
B-1050 Brussels
BELGIUM
- Office : 6G306
- Telephone : +32 2 629 34 89
- Fax : +32 2 629 34 95
- Email : ueinmahl@vub.ac.be
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- Strong approximations and invariance principles
- General limit theorems of probability
-Laws of the iterated logarithm
-Darling-Erdös type results
-universal results on increments
-Probability in Banach space
- Large and moderate deviation probabilities for sums of independent
random vectors
- (Local) Empirical Processes
- Non-parametric statistics
-estimation of densities and regression functions
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- Einmahl, U and Kuelbs, J. (2004) Moderate deviation probabilities for open convex sets: Nonlogarithmic behavior Ann. Probab. 32, 1316-1355.
- Einmahl, U and Mason, D. M. (2005) Uniform in bandwidth consistency of kernel-type function estimators. Ann. Stat. 33, 1380-1403.
- Einmahl, U. and Li, D. (2005) Some results on two-sided LIL behavior. Ann. Probab. 33, 1601-1624.
- Dony, J., Einmahl U. and Mason, D.M. (2006). Uniform
in bandwidth consistency of local polynomial regression function
estimators. Austr. J. Stat. 35, 105-120. pdf
- Dony, J. and Einmahl U. (2006). Weighted uniform consistency
of kernel density estimators with general bandwidth sequences.
Electr. J. Probab. 11, 844-859. pdf
- Einmahl, U. (2007). A generalization of Strassen's functional LIL. J. Theor. Probab. 20, 901-915
- Einmahl, U. and Li, D. (2008). Characterization of LIL behavior in Banach space Trans. Am. Math. Soc. 360, 6677-6693. pdf
- Einmahl, U. (2009). A new strong invariance principle for sums of independent random vectors. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI) 364, 5-31. pdf
- Dony, J. and Einmahl U. (2009). Uniform in bandwidth consistency of kernel regression estimators at a fixed point.
pdf
Most of my papers can also be downloaded via Arxiv
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First semester
- "Maattheorie en kansrekening" Bachelor 3 in Mathematics
- Lecture Notes pdf
- "Complexe Analyse" Bachelor 3 in Mathematics
- "Advanced Probability" Master in Mathematics (VUB/UA) and Statistics (ULB)
- Lecture Notes pdf
Second semester
- "Kansrekening en Statistiek" Bachelor 2 in Mathematics
- "Stochastische Processen" Bachelor 3, Mathematics and Actuarial Sciences
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- Limit theorems under mixing conditions, Johan van Kerckhoven (2002)
- Exponential inequalities for empirical processes with applications,
Mark van Lokeren (2002)
- Some recent results on the t-statistic, Julia Dony (2004)
- Strong approximations under low moment assumptions, Michèle Ampe (2005)
- Poisson approximations, Ellen Simons (2006)
- Uniform consistency of kernel density estimators for censored data, Koen Mahieu (2007)
- Ph.D. Thesis:
Nonparametric regression estimation : an empirical process approach to uniform in bandwidth consistency of kernel-type estimators and conditional U-statistics, Julia Dony. (Defense: May 2008)
(Co-promotor: David M. Mason, University of Delaware, USA)
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Some colleagues
Some Probability and Statistics Links
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