Thomas Royen

Q: What Schools Are Affiliated With Thomas Royen

Thomas Royen is affiliated with the following schools: University of Duisburg-Essen, Goethe University Frankfurt, University of Freiburg, University of Göttingen, Technical University of Dortmund

Thomas Royen's AcademicInfluence.com Rankings

Thomas Royen

Mathematics

#1210

World Rank

#2024

Historical Rank

Probability Theory

#59

World Rank

#81

Historical Rank

Statistics

#469

World Rank

#543

Historical Rank

Measure Theory

#5525

World Rank

#6562

Historical Rank

mathematics Degrees

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Mathematics

Thomas Royen's Degrees

PhD Mathematics University of Göttingen

Why Is Thomas Royen Influential?

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According to Wikipedia, Thomas Royen is a retired German professor of statistics who has been affiliated with the University of Applied Sciences Bingen. Royen came to prominence in the spring of 2017 for a relatively simple proof for the Gaussian Correlation Inequality , a conjecture that originated in the 1950s, which he had published three years earlier without much recognition. A proof of this conjecture, which lies at the intersection of geometry, probability theory and statistics, had eluded top experts for decades.

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Thomas Royen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions (2014) (135)
Expansions for the multivariate chi-square distribution (1991) (50)
Kinetic and dynamic interaction of clobazam and alcohol. (1979) (33)
Generalized maximum range tests for pairwise comparisons of several populations (1989) (23)
A survey on multivariate chi-square distributions and their applications in testing multiple hypotheses (2014) (18)
Multiple Comparisons of Polynomial Distributions (1984) (16)
Multivariate gamma distributions with one-factorial accompanying correlation matrices and applications to the distribution of the multivariate range (1991) (15)
Integral Representations and Approximations for Multivariate Gamma Distributions (2007) (13)
On some multivariate gamma-distributions connected with spanning trees (1994) (11)
Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions (2022) (9)
an approximation for multivariate normal probabilities of rectangular regions (1987) (9)
Exact distribution of the sample variance from a gamma parent distribution (2007) (8)
A Note on the Existence of the Multivariate Gamma Distribution (2016) (7)
Some probability inequalities for multivariate gamma and normal distributions (2015) (7)
Multivariate Gamma Distributions—II (2006) (6)
Multivariate Gamma Distributions (Update) (2004) (6)
A probability inequality for ranges and its application to maximum range test procedures (1990) (4)
Tables for Studentized Multivariate Maximum Ranges and their Application by Maximum Range Tests (2007) (4)
Integral representations for convolutions of non-central multivariate gamma distributions (2007) (3)
On the Laplace transform of some quadratic forms and the exact distribution of the sample variance from a gamma or uniform parent distribution (2007) (2)
Non-Central Multivariate Chi-Square and Gamma Distributions (2016) (2)
Some improved Gaussian correlation inequalities for symmetrical n-rectangles extended to some multivariate gamma distributions and some further probability inequalities (2020) (2)
The distribution of the square sum of Dirichlet random variables and a table with quantiles of Greenwood's statistic (2010) (1)
The exact distribution of the sample variance from bounded continuous random variables (2008) (0)
Evaluation of long-acting diuretics; investigations on tizolemide, a new diuretic: Part 1 Methodological approach (1980) (0)
Multivariate Gamma Distributions - Further Results† (2014) (0)

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Other Resources About Thomas Royen

en.wikipedia.org

What Schools Are Affiliated With Thomas Royen?

Thomas Royen is affiliated with the following schools:

Thomas Royen's Academic­Influence.com Rankings

Thomas Royen's Degrees

Why Is Thomas Royen Influential?

Thomas Royen's Published Works

Published Works

Other Resources About Thomas Royen

What Schools Are Affiliated With Thomas Royen?

Thomas Royen's AcademicInfluence.com Rankings