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Institutes
Institute of Stochastics
Dr. Bruno Ebner

Dr. Bruno Ebner

  • Karlsruher Institut für Technologie (KIT)
    Institut für Stochastik
    Englerstr. 2
    D-76128 Karlsruhe
    Deutschland

Current List of Courses
Semester Titel Typ
Summer Semester 2021 Generalisierte Regressionsmodelle Lecture
Einführung in die Stochastik für das Lehramt Lecture
Winter Semester 2020/21 Steinsche Methode mit statistischen Anwendungen Lecture
Statistik für Studierende der Biologie Lecture
Rechnergestützte Übungen zur Statistik für Studierende der Biologie (Modul 15) Lecture
Summer Semester 2020 Generalisierte Regressionsmodelle Lecture
Einführung in die Stochastik für das Lehramt Lecture
Winter Semester 2019/20 Statistik für Studierende der Biologie Lecture
Rechnergestützte Übungen zur Statistik für Studierende der Biologie (Modul 15) Lecture
Nichtparametrische Statistik Lecture
Summer Semester 2019 Markovsche Ketten Lecture
Generalisierte Regressionsmodelle Lecture
Seminar (Statistische Modell-Validierung) Seminar
Winter Semester 2018/19 Statistik Lecture
Summer Semester 2018 Mathematische Statistik Lecture
Wahrscheinlichkeitstheorie und Statistik für die Fachrichtung Maschinenbau Lecture
Seminar (Statistik) Seminar
Winter Semester 2017/18 Statistik Lecture
Proseminar (Irrfahrten) Proseminar
Summer Semester 2017 Generalisierte Regressionsmodelle Lecture
Wahrscheinlichkeitstheorie und Statistik für die Fachrichtung Maschinenbau Lecture
Seminar (Stochastik Lehramt) Seminar
Winter Semester 2016/17 Grundlagen der Wahrscheinlichkeitstheorie und Statistik für Studierende der Informatik Lecture
Statistik für Studierende der Biologie Lecture
Rechnergestützte Übungen zur Statistik für Studierende der Biologie (Modul 15) Lecture

Research

  1. asymptotic statistics
  2. goodness-of-fit problems
  3. banach valued stochastic processes
  4. statistics of point processes
  5. characterizations of distributions
  6. Stein operators

Preprints

  1. Ebner, B., Henze, N. (2021) "On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality", arXiv:2109.04897 Link
  2. Allison, J. S., Ebner, B., Smuts, M. (2021) "Logistic or not logistic?", arXiv:2108.07036 Link
  3. Ebner, B., Liebenberg, S., Visagie, J. (2021) "A new omnibus test of fit based on a characterisation of the uniform distribution", arXiv:2108.06391 Link
  4. Ebner, B., Henze, N. (2021) "Bahadur efficiencies of the Epps--Pulley test for normality", arXiv:2106.13962 Link
  5. Ebner, B., Eid, L., Klar, B. (2021) "Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution", arXiv:2106.13073 Link
  6. Anastasiou, A., Barp, A., Briol, F.-X., Ebner, B., Gaunt, R.E., Ghaderinezhad, F., Gorham, J., Gretton, A., Ley C., Liu, Q., Mackey, L., Oates, C.J., Reinert, G., Swan, Y. (2021) "Stein's Method Meets Statistics: A Review of Some Recent Developments", arXiv:2105.03481 Link
  7. Betsch, S., Ebner, B., Nestmann, F. (2020) "Characterizations of non-normalized discrete probability distributions and their application in statistics", arXiv:2011.04369 Link
  8. Allison, J.S., Betsch, S., Ebner, B., Visagie, I.J.H. (2019) "New weighted L^2-type tests for the inverse Gaussian distribution" arXiv:1910.14119 Link

Publications

  1. Ebner, B., Henze, N., Strieder, D. (2021) "Testing normality in any dimension by Fourier methods in a multivariate Stein equation", accepted for publication in The Canadian Journal of Statistics Link
  2. Dörr, P., Ebner, B., Henze, N. (2021) "Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces", Scandinavian Journal of Statistics, Volume 48: 456-501. DOI
  3. Betsch, S., Ebner, B., Klar, B. (2021) "Minimum L^q-distance estimators for non-normalized parametric models", The Canadian Journal of Statistics, Volume 49(2): 514–548. Open Access
  4. Dörr, P., Ebner, B., Henze, N. (2021) "A new test of multivariate normality by a double estimation in a characterizing PDE", Metrika, 84(3), 401-427.Open Access
  5. Ebner, B. (2021) "On combining the zero bias transform and the empirical characteristic function to test normality", ALEA, Lat. Am. J. Probab. Math. Stat. 18, 1029–1045 Open Access
  6. 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.
  7. Ebner, B., Liebenberg, S.C. (2021) "On a new test of fit to the beta distribution", Stat, 10:e341 Open Access
  8. Ebner, B., Henze, N. (2020) "Tests for multivariate normality -- a critical review with emphasis on weighted L^2-statistics", TEST, Volume 29: 845–892 Open Access and the rejoinder of the discussion.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Baringhaus, L., Ebner, B., Henze, N. (2017) "The Limit Distribution of weighted L^2-Goodness-of-Fit Statistics under fixed Alternatives, with Applications", Annals of the Institute of Statistical Mathematics, 69(5), 969–995. Link
  16. 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
  17. Ebner, B., Henze, N. (2016) "Runs in Bernoulli-Ketten", Stochastik in der Schule, 36, 3, S. 20–26. Link
  18. 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
  19. 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
  20. 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
  21. Ebner, B. (2010). "Zur Asymptotik eines mit quadratischen Abhängigkeiten operierenden Tests auf multivariate Normalverteilung". Dissertation, KIT Scientific Publishing. Link
  22. Henze, N., Nikitin, Y., Ebner, B. (2009). "Integral distribution-free statistics of L_p-type and their asymptotic comparison". Computational Statistics & Data Analysis, Band 53(9), S. 3426-3438. Link
  23. 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

  1. Ebner, B., Folkers, M. (2012). "Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften", ILIAS Plattform des KIT Link.
  2. Ebner, B., Henze, N. (2013). "2013: Internationales Jahr der Statistik", Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 21, Heft 4, S. 212-217. Link.
  3. 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

  1. Butsch, L., Ebner, B. (2020) mnt: Affine Invariant Tests of Multivariate Normality. R package version 1.3. Link.
  2. Betsch, S., Butsch, L., Ebner, B. (2020) gofgamma: Goodness-of-Fit Tests for the Gamma Distribution. R package version 1.0. Link.

Talks

  1. CMStatistics (2019) London - online: On Stein operators in testing the fit to parametric families of distributions.
  2. Statcon (2020) On-line Workshop: Stein characterizations in distributional model checks.
  3. 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.
  4. CMStatistics (2019) London: New tests of multivariate normality by a characterizing property of the Hermite operator.
  5. Cronos (2019) Limassol: Resampling under unimodality via the empirical zero bias transform
  6. SASA Eastern Cape Chapter meeting (2019) Port Elizabeth: Analyzing point patterns by a threshold transformation to binary images.
  7. Workshop (2019) Stellenbosch: Asymptotic Stochastics
  8. Seminar (2018) Pretoria: New Characterizations of Distributions by Fixed Points of Transformations and Applications to Goodness-of-Fit Testing.
  9. IWS (2018) Barcelona: Goodness of Fit Testing via fixed points of distributional transforms.
  10. GPSRS (2017) Bad Herrenalb: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images.
  11. Oberseminar (2017) Magdeburg: New goodness-of-fit tests for uniformity and complete spatial randomness based on local dependency.
  12. Mathematical colloquium (2016) Ulm: Goodness-of-fit tests for complete spatial randomness based on local dependency in point patterns.
  13. GPSD (2016) Bochum: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals.
  14. Statistics seminar (2015) ULB Brussels: New goodness-of-fit tests for Poisson point processes based on Minkowski functionals.
  15. ERCIM (2013) London: Fourier inference for stochastic volatility models with heavy-tailed innovations.
  16. 2. Khdm Arbeitstagung (2013) Paderborn: Ein Blended Learning Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften am Karlsruher Institut für Technologie (KIT).
  17. GPSD (2012) Mainz: Asymptotics for a goodness-of-fit test for multivariate normality operating with quadratic dependencies.