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Institute of Stochastics

Secretariat
Kollegiengebäude Mathematik (20.30)
Room 2.056 und 2.002

Address
Hausadresse:
Karlsruher Institut für Technologie (KIT)
Institut für Stochastik
Englerstr. 2
D-76131 Karlsruhe

Postadresse:
Karlsruher Institut für Technologie (KIT)
Institut für Stochastik
Postfach 6980
D-76049 Karlsruhe

Office hours:
Mo-Fr 10:00 - 12:00

Tel.: +49 721 608 43270/43265

Fax.: +49 721 608 46066

Dr. Bruno Ebner

Office hour for students: Tuesday 2 p.m. - 3 p.m.
Room: 2.018 Kollegiengebäude Mathematik (20.30)
Tel.: +49 721 608 47636
Fax.: +49 721 608 46066
Email: Bruno.Ebner@kit.edu

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





Current List of Courses
Semester Titel Typ
Summer Semester 2019 Lecture
Lecture
Seminar
Winter Semester 2018/19 Lecture
Summer Semester 2018 Lecture
Lecture
Seminar
Winter Semester 2017/18 Lecture
Proseminar
Summer Semester 2017 Lecture
Lecture
Seminar
Winter Semester 2016/17 Lecture
Lecture
Lecture
Summer Semester 2016 Lecture
Lecture
Seminar
Winter Semester 2015/16 Lecture
Lecture
Seminar
Summer Semester 2015 Lecture
Lecture
Lecture
Winter Semester 2014/15 Lecture
Lecture
Lecture
Summer Semester 2014 Lecture
Lecture
Winter Semester 2013/14 Lecture
Lecture
Summer Semester 2013 Lecture
Seminar
Winter Semester 2012/13 Lecture
Lecture
Lecture
Seminar
Summer Semester 2012 Lecture
Winter Semester 2011/12 Lecture
Lecture
Seminar
Laboratory
Summer Semester 2011 Lecture
Lecture
Winter Semester 2010/11 Lecture
Summer Semester 2010 Seminar
Winter Semester 2009/10 Lecture
Summer Semester 2009 Lecture


Research

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

Preprints

  1. Ebner, B., Nestmann, F., Schulte, M. (2018) "Testing multivariate uniformity based on random geometric graphs", arXiv:1812.08638 Link
  2. Betsch, S., Ebner, B. (2018) "Characterizations of continuous univariate probability distributions with applications to goodness-of-fit testing", arXiv:1810.06226 Link

Publications

  1. Betsch, S., Ebner, B. (2019) "A new characterization of the Gamma distribution and associated goodness of fit tests", in Metrika, SharedIt.
  2. Betsch, S., Ebner, B. (2019) "Testing normality via a distributional fixed point property in the Stein characterization", in TEST, Online First
  3. 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.
  4. 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.
  5. 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.
  6. 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
  7. 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
  8. Ebner, B., Henze, N. (2016) "Runs in Bernoulli-Ketten", Stochastik in der Schule, 36, 3, S. 20–26. Link
  9. 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
  10. 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
  11. 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
  12. Ebner, B. (2010). "Zur Asymptotik eines mit quadratischen Abhängigkeiten operierenden Tests auf multivariate Normalverteilung". Dissertation, KIT Scientific Publishing. Link
  13. 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
  14. 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.

Talks

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