Prof. Dr. Thomas Royen - Publikationen

Royen, Thomas
A Probability Inequality for Convolutions of MTP2-Distribution Functions
Cornell University (Hrsg). arxiv.org. Ithaca, New York. 2024 3 S.

Royen, Thomas
An integral over (0,pi) for the distribution function of a sum of independent gamma random variables and for quadratic forms of Gaussian variables
arxiv:2412.12937[math.PR]. Cornell University: arxiv.org 2024 3 S.

Royen, Thomas
On improved Gaussian correlation inequalities for symmetrical n-rectangles extended to certain multivariate gamma distributions and some further probability inequalities
Far East Journal of Theoretical Statistics, open access. Bd. https://doi.org/10.17654/0972086325001. Allahabad, India: Pushpa Publishing House, Prayagrai, India 2024 S. 1 - 38

Edelmann, Dominic; Richards, Donald; Royen, Thomas
Product Inequalities for Multivariate Gaussian, Gamma, and Positively Upper Orthant Dependent Distributions
Cornell university (Hrsg). Cornell university. 2022 12 S. 2204.06220

Royen, Thomas
Some improved Gaussian correlation inequalities for symmetrical n-rectangles extended to some multivariate gamma distributions and some further probability inequalities
arxiv.org (Hrsg). Cornell University. 2020 25 S.

Royen, Thomas
A note on the existence of the multivariate gamma distribution
arXiv:1606.04747. Cornell University. 2016

Royen, Thomas
Non-central multivariate  chi-square and gamma distributions
Cornell University (Hrsg). arXiv:1604.06906. Cornell University. 2016 15 S.

Royen, Thomas
Non-Central Multivariate Chi-Square and Gamma Distributions
Far East Journal of Theoretical Statistics. Bd. 52. H. 4. Allahabad, Indien: Pushpa Publishing House 2016 S. 289 - 315

Dickhaus, Thorsten; Royen, Thomas
A survey on multivariate chi-square distributions and their applications in testing multiple hypotheses
Statistics. Bd. 49. H. 2. London [u.a.]: Taylor & Francis 2015 S. 427 - 454

Royen, Thomas
Some probability inequalities for multivariate gamma and normal distributions
arXiv:1507.00528[math.PR]. Cornell University. 2015 10 S.

Royen, Thomas
Some probability inequalities for multivariate gamma and normal distributions
Far East Journal of Theoretical Statistics. Bd. 51. H. 1-2. Allahabad, Indien: Pushpa Publishing House 2015 S. 17 - 36

Royen, Thomas
A simple proof of the Gaussian correlation conjecture 
extended to some multivariate gamma distributions
Far East Journal of Theoretical Statistics. Bd. 48. H. 2. Allahabad: Pushpa Publishing House 2014 S. 139 - 145

Royen, Thomas
A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
arXiv.org (Hrsg). arXiv:1408.1028[math:PR]. Cornell University. 2014 4 S.

Dickhaus, Thorsten; Royen, Thomas
On multivariate chi-square distributions and their applications in testing multiple hypotheses
Weierstrass Institute (WIAS). Bd. 2014. H. 1913. Berlin. 2014 S. 1 - 30

Royen, Thomas
Some representations for convolutions of multivariate gamma distributions
Far east journal of theoretical statistics. Bd. 45. H. 1. Allahabad, India: Pushpa Publishing House 2013 S. 21 - 49

Royen, Thomas
Some upper tail approximations for the distribution of the maximum of correlated chi-square or gamma random variables
Far East Journal of Theoretical Statistics. Bd. Volume 43. H. 1. Allahabad, INDIA: Pushpa Publishing House 2013 S. 27 - 56

Royen, Thomas
Some exact distributions derived from gamma random variables including Greenwood's statistic
WIAS, Berlin (Hrsg). Berlin. 2012

Royen, Thomas
The exact distribution of some positive definite quadratic forms of gamma or Dirichlet random variables
Far East journal of theoretical statistics. Bd. 41. H. 2. Allahabad: Pushpa Publishing House 2012 S. 93 - 113

Royen, Thomas
The distribution of the square sum of Dirichlet random variables and a table with quantiles of Greenwood's statistic
Far East journal of theoretical statistics. Bd. 33. H. 1. Allahabad: Pushpa Publishing House 2010 S. 57 - 80

Royen, Thomas
The exact distribution of the sample variance from bounded continuous random variables
arxiv:0810.1572 [math.ST]. 2008

Royen, Thomas
Exact distribution of the sample variance from a gamma parent distribution
arxiv:0704.1415 [math.ST]. 2007

Royen, Thomas
Integral representations and approximations for multivariate gamma distributions
Annals of the Institute of Statistical Mathematics. Bd. 59. H. 3. Dordrecht u.a.: Springer 2007 S. 499 - 513

Royen, Thomas
Integral representations for convolutions of non-central multivariate gamma distributions
Hamburg: Univ., Inst. fu&#776;r Statistik und Ökonometrie 2007 (Beiträge aus dem Institut für Statistik und Ökonometrie der Universität Hamburg ; 77)

Royen, Thomas
Integral representations for convolutions of non-central multivariate gamma distributions
arXiv.org:0704.0539 [math.ST]. Cornell University. 2007 12 S.

Royen, Thomas
On the Laplace transform of some quadratic forms and the exact distribution of the sample variance from a gamma or uniform parent distribution
arxiv:0710.5749 [math.ST]. 2007

Royen, Thomas
Multivariate gamma distrbutions
S. Kotz, C B. Read, D.L. Banks (Hrsg). Encyclopedia of Statistical Sciences, Update Volume 1. New York: John Wiley & Sons, Inc. 1997 S. 419 - 425

Royen, Thomas
On some central and non-central multivariate chi-square distributions
Statistica Sinica. Bd. 5. H. 1. 1995 S. 373 - 397

Royen, Thomas
On some multivariate gamma distributions connected with spanning trees
Annals of the Institute of Statistical Mathematics. Bd. 46. H. 2. Dordrecht u.a.: Kluwer 1994 S. 361 - 371

Royen, Thomas
On representation and computation of multivariate gamma distributions
Prof. Dr. S. Schach and Prof. Dr. Götz Trenkler (Hrsg). Data Analysis and Statistical Inference. Bergisch Gladbach; Köln: Josef Eul 1992 S. 201 - 216

Royen, Thomas
Expansions for the multivariate chi-square distribution
Journal of multivariate analysis. Bd. 38. H. 2. 1991 S. 213 - 232

Royen, Thomas
Multivariate gamma distributions with one-factorial correlation matrices and applications to the distribution of the multivariate range
Metrika. Bd. 38. 1991 S. 299 - 315

Royen, Thomas
A probability inequality for ranges and its application to maximum range test procedures
Metrika. Bd. 37. 1990 S. 145 - 154

Royen, Thomas
Multivariate maximum range test procedures
Proceedings XVth International Biometric Conference. Budapest. 1990 S. 205

Royen, Thomas
Tables for Studentized Multivariate Maximum Ranges and their Application by Maximum Range Tests
Biometrical journal. Bd. 32. H. 6. 1990 S. 643 - 680

Royen, Thomas
Generalized maximum range tests for pairwise comparisons of several populations
Biometrical journal. Bd. 31. H. 8. 1989 S. 905 - 929

Royen, Thomas
The maximum range test - an improved step down procedure for all pairwise comparisons
EDV in Medizin und Biologie. Bd. 19. 1988 S. 58 - 63

Royen, Thomas
An approximation for multivariate normal probabilities of rectangular regions
Statistics. Bd. 18. 1987 S. 389 - 400

Royen, Thomas
Eine verschärfte Holm-Prozedur zum Vergleich aller Mittelwertpaare
EDV in Medizin und Biologie. Bd. 18. 1987 S. 45 - 49

Royen, Thomas
Multiple comparisons of polynomial distributions
Biometrical journal. Bd. 26. H. 3. 1984 S. 319 - 332

Royen, Thomas
Simultane Vergleiche sukzessiver Differenzen beobachteter Mittelwerte
EDV in Medizin und Biologie. Bd. 12. 1981 S. 111 - 115

Royen, Thomas
Randomisierungstests zum Vergleich verbundener Stichproben
EDV in Medizin und Biologie. Bd. 9. 1978 S. 104 - 106