Dr. Bruno Ebner
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Tuesday 2 p.m. - 3 p.m.
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Kollegiengebäude Mathematik (20.30)
2.018
+49 721 608 47636
+49 721 608 46066
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Bruno.Ebner@kit.edu
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Karlsruher Institut für Technologie (KIT)
Institut für Stochastik
Englerstr. 2
D-76128 Karlsruhe
Deutschland
Research
- asymptotic statistics
- goodness-of-fit problems
- banach valued stochastic processes
- statistics of point processes
- characterizations of distributions
- Stein operators
Preprints
- Betsch, S., Ebner, B., Nestmann, F. (2020) "Characterizations of non-normalized discrete probability distributions and their application in statistics", arxiv:2011.04369 Link
- Ebner, B., Henze, N., Strieder, D. (2020) "Testing normality in any dimension by Fourier methods in a multivariate Stein equation", arXiv:2007.02596 Link
- Allison, J.S., Betsch, S., Ebner, B., Visagie, I.J.H. (2019) "New weighted
-type tests for the inverse Gaussian distribution" arXiv:1910.14119 Link
Publications
- Ebner, B. (2021) "On combining the zero bias transform and the empirical characteristic function to test normality", accepted for publication in ALEA Link
- Betsch, S., Ebner, B. (2021) "Fixed point characterizations of continuous univariate probability distributions and their applications", Annals of the Institute of Statistical Mathematics, 73: 31–59, Online First.
- Ebner, B., Liebenberg, S.C. (2020) "On a new test of fit to the beta distribution", accepted for publication in STAT DOI
- Dörr, P., Ebner, B., Henze, N. (2020) "A new test of multivariate normality by a double estimation in a characterizing PDE", to be published in Metrika.Open Access
- Dörr, P., Ebner, B., Henze, N. (2020) "Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces", accepted for publication in Scandinavian Journal of Statistics, DOI
- Betsch, S., Ebner, B., Klar, B. (2020) "Minimum
-distance estimators for non-normalized parametric models", accepted for publication in Canadian Journal of Statistics, Open Access
- Ebner, B., Henze, N. (2020) "Tests for multivariate normality -- a critical review with emphasis on weighted
-statistics", TEST, Volume 29: 845–892 Open Access and the rejoinder of the discussion.
- Ebner, B., Nestmann, F., Schulte, M. (2020) "Testing multivariate uniformity based on random geometric graphs", Electronic Journal of Statistics, Volume 14(2): 4273-4320 Open Access.
- Betsch, S., Ebner, B. (2020) "Testing normality via a distributional fixed point property in the Stein characterization", TEST, Volume 29(1), 105–138 Online First.
- Betsch, S., Ebner, B. (2019) "A new characterization of the Gamma distribution and associated goodness of fit tests", Metrika, Volume 82(7), 779-806 Link.
- Ebner, B., Henze, N., Klatt, M.A., Mecke, K. (2018) "Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images", Electronic Journal of Statistics, Vol. 12, No. 2, 2873-2904 Link.
- Ebner, B., Henze, N., Yukich J.E. (2018) "Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances", Journal of Multivariate Analysis, Volume 165, p. 231-242, Link.
- Ebner, B., Klar, B., Meintanis, S.G. (2018) "Fourier Inference for Stochastic Volatility Models with Heavy-Tailed Innovations", Statistical Papers, Volume 59(3), 1043-1060, DOI:10.1007/s00362-016-0803-6.
- Baringhaus, L., Ebner, B., Henze, N. (2017) "The Limit Distribution of weighted
-Goodness-of-Fit Statistics under fixed Alternatives, with Applications", Annals of the Institute of Statistical Mathematics, 69(5), 969–995. Link
- Ebner, B., Folkers, M., Haase, D. (2016) "Vorbereitende und begleitende Angebote in der Grundlehre Mathematik für die Fachrichtung Wirtschaftswissenschaften". in: Lehren und Lernen von Mathematik in der Studieneingangsphase, hrsg. v. Hoppenbrock, A., Biehler, R., Hochmuth, R., Rück, H.-G., Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, Bd. 4, Wiesbaden: Springer Spektrum, S. 149 – 164. Link
- Ebner, B., Henze, N. (2016) "Runs in Bernoulli-Ketten", Stochastik in der Schule, 36, 3, S. 20–26. Link
- Ebner, B., Henze, N., Parthasarathy, P.R. (2013) "Ramanujan Theta Functions and Birth and Death Processes". Statistics & Probability Letters, Band 83(12), S. 2647–2655. Link
- Ebner, B. (2012) "Asymptotic Theory for the Test on Multivariate Normality by Cox and Small". Journal of Multivariate Analysis, Band 111, S. 368–379. Link
- Henze, N., Meintanis, S.G., Ebner, B. (2012) "Goodness-of-fit tests for the Gamma distribution based on the empirical Laplace transform". Communications in Statistics – Theory and Methods, Band 41(9), S. 1543-1556. Link
- Ebner, B. (2010). "Zur Asymptotik eines mit quadratischen Abhängigkeiten operierenden Tests auf multivariate Normalverteilung". Dissertation, KIT Scientific Publishing. Link
- Henze, N., Nikitin, Y., Ebner, B. (2009). "Integral distribution-free statistics of
-type and their asymptotic comparison". Computational Statistics & Data Analysis, Band 53(9), S. 3426-3438. Link
- Ebner, B., Folkers, M. (2007). "Mit Mathematik unterschreiben: Ein Vorschlag für den Schulunterricht". Realitätsnaher Mathematikunterricht - vom Fach aus und für die Praxis, Franzbecker, S. 24-37.
Other Publications
- Ebner, B., Folkers, M. (2012). "Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften", ILIAS Plattform des KIT Link.
- Ebner, B., Henze, N. (2013). "2013: Internationales Jahr der Statistik", Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 21, Heft 4, S. 212-217. Link.
- Ebner, B., Folkers, M. (2013). "Ein Blended Learning Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften am Karlsruher Institut für Technologie (KIT)", khdm Report, Nr. 1. Link.
R Packages
- Butsch, L., Ebner, B. (2020) mnt: Affine Invariant Tests of Multivariate Normality. R package version 1.3. Link.
- Betsch, S., Butsch, L., Ebner, B. (2020) gofgamma: Goodness-of-Fit Tests for the Gamma Distribution. R package version 1.0. Link.
Talks
- CMStatistics (2019) London - online: On Stein operators in testing the fit to parametric families of distributions.
- Statcon (2020) On-line Workshop: Stein characterizations in distributional model checks.
- Seminar ULB (2020) Brussels: On some new characterizations of univariate distributions via fixed points of distributional transforms with application in goodness of fit testing problems.
- CMStatistics (2019) London: New tests of multivariate normality by a characterizing property of the Hermite operator.
- Cronos (2019) Limassol: Resampling under unimodality via the empirical zero bias transform
- SASA Eastern Cape Chapter meeting (2019) Port Elizabeth: Analyzing point patterns by a threshold transformation to binary images.
- Workshop (2019) Stellenbosch: Asymptotic Stochastics
- Seminar (2018) Pretoria: New Characterizations of Distributions by Fixed Points of Transformations and Applications to Goodness-of-Fit Testing.
- IWS (2018) Barcelona: Goodness of Fit Testing via fixed points of distributional transforms.
- GPSRS (2017) Bad Herrenalb: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images.
- Oberseminar (2017) Magdeburg: New goodness-of-fit tests for uniformity and complete spatial randomness based on local dependency.
- Mathematical colloquium (2016) Ulm: Goodness-of-fit tests for complete spatial randomness based on local dependency in point patterns.
- GPSD (2016) Bochum: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals.
- Statistics seminar (2015) ULB Brussels: New goodness-of-fit tests for Poisson point processes based on Minkowski functionals.
- ERCIM (2013) London: Fourier inference for stochastic volatility models with heavy-tailed innovations.
- 2. Khdm Arbeitstagung (2013) Paderborn: Ein Blended Learning Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften am Karlsruher Institut für Technologie (KIT).
- GPSD (2012) Mainz: Asymptotics for a goodness-of-fit test for multivariate normality operating with quadratic dependencies.