Dr. rer. nat. Bruno Ebner
- Akademischer Oberrat
- Raum: 2.018
20.30 - Tel.: +49 721 608-47636
- bruno ebner ∂does-not-exist.kit edu
- ORCID
- www.math.kit.edu/stoch/~ebner/
- Englerstr. 2
76131 Karlsruhe
Forschung
Forschungsinteressen
- Asymptotische Statistik
- Anpassungstests
- Stochastische Prozesse in Banachräumen
- Statistiken von Punktprozessen
- Charakterisierungen von Verteilungen
- Stein Operatoren
- Direktionale Daten
Vorträge auf Konferenzen/Arbeitsgemeinschaften
- 65th ISI World Statistics Congress (2025) Den Haag: New goodness-of-fit tests on the hypersphere based on Stein characterizations
- 7th GOFCP Workshop (2025) Prag: New uniformity tests on the hypersphere based on the ECF and Stein characterizations
- Séminaire de l’équipe Probabilités et Statistiques (2025) Nancy: Modern Perspectives on Hyperspherical Uniformity Testing: Maximal Projections and Stein Characterizations
- StatMod (2024) Belgrad: Eigenvalues approximation of integral covariance operators with applications to weighted
statistics
- 11th Bernoulli-ims world congress (2024) Bochum: A general maximal projection approach to uniformity testing on the hypersphere
- Stein's Method and Networks (2024) Oxford: On a new resampling method for unimodality testing via the empirical zero bias transform
- ICSTMA (2024) Nsukka (online): A general maximal projection approach to uniformity testing on the hypersphere
- Probability and Statistics Seminar (2023) Luxemburg: On goodness-of-fit tests for families of distributions based on Stein's method
- Statcon (2023) Kapstadt - Workshop: Directional Data Analysis
- 6th GOFCP Workshop (2023) Skukuza: On testing randomness of binary images with applications
- CMStatistics (2022) London: On approximating eigenvalues of covariance operators with applications to goodness-of-fit tests
- Seminar ULB (2022) Brüssel: On weighted
- 5th GOFCP Workshop (2022) ENSAI Rennes: A general maximal projection approach to uniformity testing on the hypersphere
- CMStatistics (2021) London - online: On testing randomness of binary images.
- CMStatistics (2020) 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) Brüssel: 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.
- Mathematisches Kolloquium (2016) Ulm: Anpassungstests für vollständige räumliche Zufälligkeit basierend auf lokalen Abhängigkeiten in Punktmustern.
- GPSD (2016) Bochum: Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals.
- Statistics seminar (2015) ULB Brüssel: 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.
Preprints
-
Ebner, B.; Henze, N.; Meintanis, S.
A unified approach to goodness-of-fit testing for spherical and hyperspherical data
2023. doi:10.5445/IR/1000169101 -
Ebner, B.; Nestmann, F.; Schulte, M.
Testing multivariate uniformity based on random geometric graphs
2020 -
Betsch, S.; Ebner, B.; Klar, B.
Minimum L
2020
Artikel in Zeitschriften und Tagungsbänden
-
Avhad, G. V.; Ebner, B.
Efficient Goodness‐of‐Fit Tests for the Maxwell–Boltzmann Distribution via Stein‐Type Characterization With Applications to (Un)censored Data
2025. Stat, 14 (4), Art.-Nr.: e70097. doi:10.1002/sta4.70097 -
Ebner, B.; Jiménez-Gamero, M. D.; Milošević, B.
Efficient eigenvalue approximation in covariance operators via Rayleigh–Ritz with statistical applications
2025. Statistical Papers, 66 (6), Art.-Nr.: 135. doi:10.1007/s00362-025-01751-5 -
Ebner, B.; Eid, L.; Klar, B.
Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution
2024. Statistical Papers, 65 (1), 45–78. doi:10.1007/s00362-022-01382-0 -
Ebner, B.; Henze, N.; Meintanis, S.
A unified approach to goodness-of-fit testing for spherical and hyperspherical data
2024. Statistical Papers, 65, 3447–3475. doi:10.1007/s00362-024-01529-1 -
Ebner, B.; Fischer, A.; Henze, N.; Mayer, C.
Goodness-of-fit tests for the Weibull distribution based on the Laplace transform and Stein’s method
2023. Annals of the Institute of Statistical Mathematics, 75 (6), 1011–1038. doi:10.1007/s10463-023-00873-7 -
Allison, J. S.; Ebner, B.; Smuts, M.
Logistic or not Logistic?
2023. Statistica Neerlandica, 77 (4), 429–443. doi:10.1111/stan.12292 -
Ebner, B.
The test of exponentiality based on the mean residual life function revisited
2023. Journal of Nonparametric Statistics, 35 (3), 601–621. doi:10.1080/10485252.2023.2178831 -
Ebner, B.; Henze, N.
Bahadur Efficiencies of the Epps–Pulley Test for Normality
2023. Journal of Mathematical Sciences (United States), 273 (5), 861–870. doi:10.1007/s10958-023-06547-2 -
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.
Stein’s Method Meets Computational Statistics: A Review of Some Recent Developments
2023. Statistical Science, 38 (1), 120–139. doi:10.1214/22-STS863 -
Ebner, B.; Liebenberg, S. C.; Visagie, I. J. H.
A new omnibus test of fit based on a characterization of the uniform distribution
2022. Statistics, 56 (6), 1364–1384. doi:10.1080/02331888.2022.2133121 -
Ebner, B.; Henze, N.
On the eigenvalues associated with the limit null distribution of the Epps-Pulley test of normality
2022. Statistical Papers, 64 (3), 739–752. doi:10.1007/s00362-022-01336-6 -
Betsch, S.; Ebner, B.; Nestmann, F.
Characterizations of non-normalized discrete probability distributions and their application in statistics
2022. Electronic Journal of Statistics, 16 (1), 1303–1329. doi:10.1214/22-EJS1983 -
Allison, J. S.; Betsch, S.; Ebner, B.; Visagie, J.
On Testing the Adequacy of the Inverse Gaussian Distribution
2022. Mathematics, 10 (3), Art.-Nr.: 350. doi:10.3390/math10030350 -
Ebner, B.; Liebenberg, S. C.
On a new test of fit to the beta distribution
2021. Stat, 10 (1). doi:10.1002/sta4.341 -
Betsch, S.; Ebner, B.; Klar, B.
Minimum L
2021. The Canadian journal of statistics, 49 (2), 514–548. doi:10.1002/cjs.11574 -
Dörr, P.; Ebner, B.; Henze, N.
Testing multivariate normality by zeros of the harmonic oscillator in characteristic function spaces
2021. Scandinavian journal of statistics, 48 (2), 456–501. doi:10.1111/sjos.12477 -
Ebner, B.; Henze, N.; Strieder, D.
Testing normality in any dimension by Fourier methods in a multivariate Stein equation
2021. Canadian Journal of Statistics, 50 (3), 992–1033. doi:10.1002/cjs.11670 -
Ebner, B.
On combining the zero bias transform and the empirical characteristic function to test normality
2021. Alea, 18 (1), 1029–1045. doi:10.30757/ALEA.v18-38 -
Dörr, P.; Ebner, B.; Henze, N.
A new test of multivariate normality by a double estimation in a characterizing PDE
2021. Metrika, 84 (3), 401–427. doi:10.1007/s00184-020-00795-x -
Betsch, S.; Ebner, B.
Fixed point characterizations of continuous univariate probability distributions and their applications
2021. Annals of the Institute of Statistical Mathematics, 73, 31–59. doi:10.1007/s10463-019-00735-1 -
Ebner, B.; Henze, N.
Rejoinder on: Tests for multivariate normality—a critical review with emphasis on weighted
2020. TEST, 29 (4), 911–913. doi:10.1007/s11749-020-00744-w -
Ebner, B.; Henze, N.
Tests for multivariate normality—a critical review with emphasis on weighted
2020. TEST, 29 (4), 845–892. doi:10.1007/s11749-020-00740-0 -
Ebner, B.; Nestmann, F.; Schulte, M.
Testing multivariate uniformity based on random geometric graphs
2020. Electronic journal of statistics, 14 (2), 4273–4320. doi:10.1214/20-EJS1776 -
Betsch, S.; Ebner, B.
Testing normality via a distributional fixed point property in the Stein characterization
2020. TEST, 25, 105–138. doi:10.1007/s11749-019-00630-0 -
Betsch, S.; Ebner, B.
A new characterization of the Gamma distribution and associated goodness-of-fit tests
2019. Metrika, 82 (7), 779–806. doi:10.1007/s00184-019-00708-7 -
Ebner, B.; Henze, N.; Yukich, J. E.
Multivariate goodness-of-fit on flat and curved spaces via nearest neighbor distances
2018. Journal of multivariate analysis, 165, 231–242. doi:10.1016/j.jmva.2017.12.009 -
Ebner, B.; Henze, N.; Klatt, M. A.; Mecke, K.
Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images
2018. Electronic journal of statistics, 12 (2), 2873–2904. doi:10.1214/18-EJS1467 -
Ebner, B.; Folkers, M.; Haase, D.
Vorbereitende und begleitende Angebote in der Grundlehre Mathematik für die Fachrichtung Wirtschaftswissenschaften
2016. Lehren und Lernen von Mathematik in der Studieneingangsphase. Ed.: A. Hoppenbrock, 149–164, Springer Fachmedien Wiesbaden. doi:10.1007/978-3-658-10261-6_10 -
Ebner, B.; Klar, B.; Meintanis, S. G.
Fourier inference for stochastic volatility models with heavy-tailed innovations
2016. Statistical papers, 1–18. doi:10.1007/s00362-016-0803-6 -
Baringhaus, L.; Ebner, B.; Henze, N.
The limit distribution of weighted L²-goodness-of-fit statistics under fixed alternatives, with applications
2016. Annals of the Institute of Statistical Mathematics, 69 (5), 969–995. doi:10.1007/s10463-016-0567-8 -
Ebner, B.; Henze, N.
2013: Internationales Jahr der Statistik
2013. Mitteilungen der Deutschen Mathematiker-Vereinigung, 21 (4), 212–213. doi:10.1515/dmvm-2013-0084 -
Ebner, B.; Henze, N.; Parthasarathy, P. R.
Ramanujan theta functions and birth and death processes
2013. Statistics & probability letters, 83 (12), 2647–2655. doi:10.106/j.spl.2013.08.005 -
Ebner, B.
Asymptotic theory for the test for multivariate normality by Cox and Small
2012. Journal of multivariate analysis, 111, 368–379. doi:10.1016/j.jmva.2012.04.012 -
Ebner, B.; Henze, N.; Meintanis, S. G.
Goodness-of-fit tests for the Gamma distribution based on the empirical Laplace transform
2012. Communications in Statistics - Theory and Methods, 41 (9), 1543–1556. doi:10.1080/03610926.2010.542851 -
Henze, N.; Nikitin, Y.; Ebner, B.
Integral distribution-free statistics of Lp-type and their asymptotic comparison
2009. Computational statistics & data analysis, 53 (9), 3426–3438 -
Folkers, M.; Ebner, B.
Mit Mathematik unterschreiben: Ein Vorschlag für den Schulunterricht
2006. Realitätsnaher Mathematikunterricht - vom Fach aus und für die Praxis, Festschrift für Hans-Wolfgang Henn zum 60. Geburtstag. Hrsg.: A. Büchter, Franzbecker