- Home
- Best Scientists - Mathematics
- Friedrich Götze

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
6,368
251
World Ranking
2003
National Ranking
122

2009 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics

- Mathematical analysis
- Statistics
- Real number

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.

- Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities (518 citations)
- RESAMPLING FEWER THAN n OBSERVATIONS: GAINS, LOSSES, AND REMEDIES FOR LOSSES (299 citations)
- RESAMPLING FEWER THAN n OBSERVATIONS: GAINS, LOSSES, AND REMEDIES FOR LOSSES (299 citations)

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.

- Combinatorics (41.50%)
- Random variable (27.89%)
- Mathematical analysis (23.13%)

- Random variable (27.89%)
- Combinatorics (41.50%)
- Pure mathematics (17.01%)

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.

- Higher order concentration for functions of weakly dependent random variables (17 citations)
- Rényi divergence and the central limit theorem (12 citations)
- Large ball probabilities, Gaussian comparison and anti-concentration (11 citations)

- Mathematical analysis
- Real number
- Statistics

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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

S.G Bobkov;F Götze.

Journal of Functional Analysis **(1999)**

600 Citations

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)**

503 Citations

On the Rate of Convergence in the Multivariate CLT

Friedrich Götze.

Annals of Probability **(1991)**

313 Citations

When is the Student $t$-statistic asymptotically standard normal?

Evarist Giné;Friedrich Götze;David M. Mason.

Annals of Probability **(1997)**

305 Citations

Asymptotic expansions for sums of weakly dependent random vectors

F. Götze;C. Hipp.

Probability Theory and Related Fields **(1983)**

248 Citations

Second-order correctness of the blockwise bootstrap for stationary observations

Friedrich Götze;HR Kunsch.

Annals of Statistics **(1996)**

202 Citations

Asymptotic expansions for bivariate von Mises functionals

F. Götze.

Probability Theory and Related Fields **(1979)**

178 Citations

The circular law for random matrices

Friedrich Götze;Alexander Tikhomirov.

Annals of Probability **(2010)**

176 Citations

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)**

160 Citations

The Berry-Esseen bound for student's statistic

V. Bentkus;F. Götze.

Annals of Probability **(1996)**

157 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Minnesota

Weierstrass Institute for Applied Analysis and Stochastics

University of Connecticut

Bielefeld University

University of Delaware

Bielefeld University

Yale University

ETH Zurich

Bielefeld University

University of Groningen

University of Cape Town

Georgetown University

University of Massachusetts Amherst

Spanish National Research Council

Queen's University Belfast

RIKEN

University at Buffalo, State University of New York

Champalimaud Foundation

University of Illinois at Chicago

University of Bonn

Mayo Clinic

University of Chicago

New York University

University of New South Wales

Education University of Hong Kong

Something went wrong. Please try again later.