Department of Mathematics
Webrelaunch 2020
Department of Mathematics
Home Page
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 Links Typ
Sommersemester 2025 Einführung in die Stochastik für das Lehramt Vorlesung (V)
Übungen zu 0163300 Übung (Ü)
Generalisierte Regressionsmodelle Vorlesung (V)
Übungen zu 0161400 (generalisierte Regressionsmodelle) Übung (Ü)
Wintersemester 24/25 Steinsche Methode mit Statistischen Anwendungen Vorlesung (V)
Übungen zu 0173600 (Steinsche Methode mi Statistischen Anwendungen) Übung (Ü)
Statistik für Studierende der Biologie Vorlesung (V)
Übungen zu 0137000 Übung (Ü)
Rechnergestützte Übungen zur Statistik für Studierende der Biologie (Modul 15) Block (B)
Sommersemester 2024 Statistical Learning Vorlesung (V)
Tutorial for 0165650 (Statistical Learning) Übung (Ü)
Wahrscheinlichkeitstheorie und Statistik für die Fachrichtung Maschinenbau Vorlesung (V)
Übungen zu 0186000 Übung (Ü)
Wintersemester 23/24 Functional Data Analysis Vorlesung (V)
Tutorial for 0100034 (Functional Data Analysis) Übung (Ü)
Proseminar (Kombinatorik) Proseminar (PS)
Wintersemester 25/26 Functional Data Analysis Vorlesung (V)
Tutorial for 0100034 (Functional Data Analysis) Übung (Ü)
Statistik für Studierende der Biologie Vorlesung (V)
Übungen zu 0137000(Statistik für Studierende der Biologie) Übung (Ü)
Rechnergestützte Übungen zur Statistik für Studierende der Biologie (Modul 15) Block (B)
Sommersemester 2026 Markovsche Ketten Vorlesung (V)
Übungen zu 0159600 (Markovsche Ketten) Übung (Ü)
Proseminar (Stochastik) Proseminar (PS)
Wahrscheinlichkeitstheorie und Statistik für die Fachrichtung Maschinenbau Vorlesung (V)
Übungen zu 0186000 Übung (Ü)

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
  7. Directional Data

Preprints

  1. Ebner, B., Garcia-Portugués, E., Verdebout, T. (2025) "High-dimensional Sobolev tests on hyperspheres", arXiv:2501.10898 Link
  2. Dobler, D., Ebner, B. (2023) "Is the Gompertz family a good fit to your data?", arXiv:2302.01639 Link

Publications

  1. Cuparić, M., Ebner, B., Milošević, B. (2025) "A new flexible class of kernel-based tests of independence", accepted for publication in Journal of Statistical Computation and Simulation. Arxiv
  2. Ebner, B., Jiménez-Gamero, M.D. & Milošević, B. (2025) "Efficient eigenvalue approximation in covariance operators via Rayleigh–Ritz with statistical applications", Statistical Papers 66, 135 Open Access
  3. Avhad, G. V., Ebner, B. (2025) "Efficient goodness-of-fit tests for the Maxwell-Boltzmann distribution via Stein-type characterization with applications to (un)censored data", Stat, 14:e70097 Open Access
  4. Ebner, B., Folkers, M., Henze, N. (2025) "Mathematische Statistik", In: Remenyi, M., Remmert, V. (eds) "...eine so innige Verwebung sowohl sachlicher wie auch persönlicher Art." Zu den Tagungen am Mathematischen Forschungsinstitut Oberwolfach 1945-1960. Mathematisches Forschungsinstitut Oberwolfach gGmbH, Oberwolfach, p. 105-162. Open Access
  5. Ebner, B., Fischer, A., Gaunt, R. E., Picker, B., Swan, Y. (2025) "Stein's Method of Moments", accepted for publication in Scandinavian Journal of Statistics. Open Access
  6. Borodavka, J., Ebner, B. (2025) "A general maximal projection approach to uniformity testing on the hypersphere", accepted for publication in Bernoulli. ArXiv
  7. Ebner, B., Henze, N. (2025) "Eckpunkte einer Statistikausbildung für Studierende der Biologie", Stochastik in der Schule, 45(2):17-23.
  8. Ebner, B., Swan, Y. (2024) "Independent Additive Weighted Bias Distributions and Associated Goodness-of-Fit Tests", In: Barigozzi, M., Hörmann, S., Paindaveine, D. (eds) Recent Advances in Econometrics and Statistics. Springer, Cham. Link,ArXiv
  9. Ebner, B., Eid, L., Klar, B. (2024) "Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution", Statistical Papers, 65(1): 45-78 Open Access
  10. Ebner, B., Henze, N., Meintanis, S. (2024) "A unified approach to goodness-of-fit testing for spherical and hyperspherical data", Statistical Papers, 65(6):3447–3475 Open Access
  11. Allison, J. S., Ebner, B., Smuts, M. (2023) "Logistic or not logistic?", Statistica Neerlandica, 77: 429–443. Link,ArXiv
  12. Ebner, B., Fischer, A., Henze, N., Mayer, C. (2023) "Goodness‑of‑fit tests for the Weibull distribution based on the Laplace transform and Stein’s method", Annals of the Institute of Statistical Mathematics, 75: 1011–1038 Link,ArXiv
  13. Ebner, B. (2023) "The test of exponentiality based on the mean residual life function revisited", Journal of Nonparametric Statistics, 35(3): 601-621 Link,ArXiv
  14. Ebner, B., Henze, N. (2023) "On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality", Statistical Papers, 64(3): 739–752 Open Access
  15. 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. (2023) "Stein's Method Meets Computational Statistics: A Review of Some Recent Developments", Statistical Science, 38(1): 120-139 Link
  16. Ebner, B., Liebenberg, S., Visagie, J. (2022) "A new omnibus test of fit based on a characterisation of the uniform distribution", Statistics, 56(6): 1364-1384 Link
  17. Ebner, B., Henze, N., Strieder, D. (2022) "Testing normality in any dimension by Fourier methods in a multivariate Stein equation", The Canadian Journal of Statistics, 50(3): 992-1033 Open Access
  18. Betsch, S., Ebner, B., Nestmann, F. (2022) "Characterizations of non-normalized discrete probability distributions and their application in statistics", Electronic Journal of Statistics, 16(1): 1303-1329 Open Access
  19. Allison, J.S., Betsch, S., Ebner, B., Visagie, I.J.H. (2022) "On Testing the Adequacy of the Inverse Gaussian Distribution", Mathematics, 10(3), 350 Open Access
  20. Ebner, B., Henze, N. (2021) "Bahadur efficiencies of the Epps--Pulley test for normality", Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 501, Veroyatnostʹ i Statistika. 30, 302–314 Link
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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.
  26. Ebner, B., Liebenberg, S.C. (2021) "On a new test of fit to the beta distribution", Stat, 10:e341 Open Access
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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
  35. 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
  36. Ebner, B., Henze, N. (2016) "Runs in Bernoulli-Ketten", Stochastik in der Schule, 36, 3, S. 20–26. Link
  37. 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
  38. 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
  39. 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
  40. Ebner, B. (2010). "Zur Asymptotik eines mit quadratischen Abhängigkeiten operierenden Tests auf multivariate Normalverteilung". Dissertation, KIT Scientific Publishing. Link
  41. 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
  42. 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., Henze, N. (2013). "2013: Internationales Jahr der Statistik", Mitteilungen der Deutschen Mathematiker-Vereinigung, Band 21, Heft 4, S. 212-217. Link.
  2. 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. Allison, J., Betsch, S., Ebner, B., Visagie, J. (2024). gofIG: Goodness-of-Fit Tests for the Inverse Gaussian Distribution. R package version 1.0. Link.
  2. Butsch, L., Ebner, B. (2020) mnt: Affine Invariant Tests of Multivariate Normality. R package version 1.3. Link.
  3. Betsch, S., Butsch, L., Ebner, B. (2020) gofgamma: Goodness-of-Fit Tests for the Gamma Distribution. R package version 1.0. Link.

Talks

  1. 65th ISI World Statistics Congress (2025) The Hague: New goodness-of-fit tests on the hypersphere based on Stein characterizations
  2. 7th GOFCP Workshop (2025) Prag: New uniformity tests on the hypersphere based on the ECF and Stein characterizations
  3. Séminaire de l’équipe Probabilités et Statistiques (2025) Nancy: Modern Perspectives on Hyperspherical Uniformity Testing: Maximal Projections and Stein Characterizations
  4. StatMod (2024) Belgrade: Eigenvalues approximation of integral covariance operators with applications to weighted L^2 statistics
  5. 11th Bernoulli-ims world congress (2024) Bochum: A general maximal projection approach to uniformity testing on the hypersphere
  6. Stein's Method and Networks (2024) Oxford: On a new resampling method for unimodality testing via the empirical zero bias transform
  7. ICSTMA (2024) Nsukka (online): A general maximal projection approach to uniformity testing on the hypersphere
  8. Probability and Statistics Seminar (2023) Luxemburg: On goodness-of-fit tests for families of distributions based on Stein's method
  9. Statcon (2023) Cape Town - Workshop: Directional Data Analysis
  10. 6th GOFCP Workshop (2023) Skukuza: On testing randomness of binary images with applications
  11. CMStatistics (2022) London: On approximating eigenvalues of covariance operators with applications to goodness-of-fit tests
  12. Seminar ULB (2022) Brussels: On weighted L^2-type statistics, asymptotics and the related Hilbert-Schmidt integral operator
  13. 5th GOFCP Workshop (2022) ENSAI Rennes: A general maximal projection approach to uniformity testing on the hypersphere
  14. CMStatistics (2021) London - online: On testing randomness of binary images.
  15. CMStatistics (2020) London - online: On Stein operators in testing the fit to parametric families of distributions.
  16. Statcon (2020) On-line Workshop: Stein characterizations in distributional model checks.
  17. 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.
  18. CMStatistics (2019) London: New tests of multivariate normality by a characterizing property of the Hermite operator.
  19. Cronos (2019) Limassol: Resampling under unimodality via the empirical zero bias transform
  20. SASA Eastern Cape Chapter meeting (2019) Port Elizabeth: Analyzing point patterns by a threshold transformation to binary images.
  21. Workshop (2019) Stellenbosch: Asymptotic Stochastics
  22. Seminar (2018) Pretoria: New Characterizations of Distributions by Fixed Points of Transformations and Applications to Goodness-of-Fit Testing.
  23. IWS (2018) Barcelona: Goodness of Fit Testing via fixed points of distributional transforms.
  24. GPSRS (2017) Bad Herrenalb: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images.
  25. Oberseminar (2017) Magdeburg: New goodness-of-fit tests for uniformity and complete spatial randomness based on local dependency.
  26. Mathematical colloquium (2016) Ulm: Goodness-of-fit tests for complete spatial randomness based on local dependency in point patterns.
  27. GPSD (2016) Bochum: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals.
  28. Statistics seminar (2015) ULB Brussels: New goodness-of-fit tests for Poisson point processes based on Minkowski functionals.
  29. ERCIM (2013) London: Fourier inference for stochastic volatility models with heavy-tailed innovations.
  30. 2. Khdm Arbeitstagung (2013) Paderborn: Ein Blended Learning Vorkurs Mathematik für die Fachrichtung Wirtschaftswissenschaften am Karlsruher Institut für Technologie (KIT).
  31. GPSD (2012) Mainz: Asymptotics for a goodness-of-fit test for multivariate normality operating with quadratic dependencies.