2009 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics
Friedrich Götze spends much of his time researching Combinatorics, Mathematical analysis, Statistics, Random matrix and Central limit theorem. Friedrich Götze combines subjects such as Positive-definite matrix, Probability distribution, Distribution and Quadratic form with his study of Combinatorics. The Exponential function and Real line research Friedrich Götze does as part of his general Mathematical analysis study is frequently linked to other disciplines of science, such as Stein's method, therefore creating a link between diverse domains of science.
Many of his studies on Statistics involve topics that are commonly interrelated, such as Econometrics. His Random matrix research integrates issues from Circular law, Random variable and Joint probability distribution. Friedrich Götze interconnects Rate of convergence, Multivariate random variable and Normal distribution in the investigation of issues within Central limit theorem.
Friedrich Götze focuses on Combinatorics, Random variable, Mathematical analysis, Random matrix and Pure mathematics. His Combinatorics study combines topics from a wide range of disciplines, such as Discrete mathematics, Central limit theorem, Order and Distribution. His Central limit theorem research includes themes of Asymptotic expansion and Normal distribution.
His work in Random variable tackles topics such as Triangular matrix which are related to areas like Symmetric matrix. His Mathematical analysis study combines topics in areas such as Rate of convergence and Applied mathematics. The concepts of his Random matrix study are interwoven with issues in Singular value, Matrix, Hermitian matrix and Circular law.
His main research concerns Random variable, Combinatorics, Pure mathematics, Applied mathematics and Poisson distribution. His studies deal with areas such as Matrix, Triangular matrix, Littlewood–Offord problem and Moment as well as Random variable. Moment is a primary field of his research addressed under Statistics.
His research in Statistics focuses on subjects like Quadratic equation, which are connected to Distribution function. The various areas that he examines in his Combinatorics study include Bounded function, Algebraic number, Order and Convex hull. His work carried out in the field of Applied mathematics brings together such families of science as Logarithm, Concentration of measure and Order.
Random variable, Combinatorics, Order, Pure mathematics and Concentration of measure are his primary areas of study. His Random variable research is multidisciplinary, incorporating elements of Matrix and Triangular matrix. His biological study spans a wide range of topics, including Type and Convex hull.
His work deals with themes such as Discrete mathematics, Normal approximation, Operator, Bounded function and Interpretation, which intersect with Order. His Pure mathematics research is multidisciplinary, relying on both Distribution, Exponential function, Ising model and Inequality. Within one scientific family, he focuses on topics pertaining to Order under Concentration of measure, and may sometimes address concerns connected to Applied mathematics, Cube and Mathematical statistics.
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Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities
S.G Bobkov;F Götze.
Journal of Functional Analysis (1999)
RESAMPLING FEWER THAN n OBSERVATIONS: GAINS, LOSSES, AND REMEDIES FOR LOSSES
P. J. Bickel;P. J. Bickel;F. Götze;F. Götze;W. R. van Zwet;W. R. van Zwet.
(2012)
On the Rate of Convergence in the Multivariate CLT
Friedrich Götze.
Annals of Probability (1991)
When is the Student $t$-statistic asymptotically standard normal?
Evarist Giné;Friedrich Götze;David M. Mason.
Annals of Probability (1997)
Asymptotic expansions for sums of weakly dependent random vectors
F. Götze;C. Hipp.
Probability Theory and Related Fields (1983)
Second-order correctness of the blockwise bootstrap for stationary observations
Friedrich Götze;HR Kunsch.
Annals of Statistics (1996)
Asymptotic expansions for bivariate von Mises functionals
F. Götze.
Probability Theory and Related Fields (1979)
The circular law for random matrices
Friedrich Götze;Alexander Tikhomirov.
Annals of Probability (2010)
The Edgeworth Expansion for $U$-Statistics of Degree Two
P. J. Bickel;P. J. Bickel;F. Götze;F. Götze;W. R. van Zwet;W. R. van Zwet.
Annals of Statistics (1986)
The Berry-Esseen bound for student's statistic
V. Bentkus;F. Götze.
Annals of Probability (1996)
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