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Dümbgen, Lutz; Nordhausen, Klaus (2024). Approximating symmetrized estimators of scatter via balanced incomplete U-statistics. Annals of the Institute of Statistical Mathematics, 76(2), pp. 185-207. Springer 10.1007/s10463-023-00879-1
Dümbgen, Lutz (2024). Shape-Constrained Statistical Inference. Annual review of statistics and its application, 11(1), pp. 373-391. Annual Reviews 10.1146/annurev-statistics-033021-014937
Mösching, Alexandre; Dümbgen, Lutz (2024). Estimation of a likelihood ratio ordered family of distributions. Statistics and computing, 34(1) Springer 10.1007/s11222-023-10370-9
Ziegel, Johanna; Ginsbourger, David; Dümbgen, Lutz (2024). Characteristic kernels on Hilbert spaces, Banach spaces, and on sets of measures. Bernoulli, 30(2), pp. 1441-1457. International Statistical Institute 10.3150/23-BEJ1639
Dimitriadis, Timo; Dümbgen, Lutz; Henzi, Alexander; Puke, Marius; Ziegel, Johanna (2023). Honest calibration assessment for binary outcome predictions. Biometrika, 110(3), pp. 663-680. Oxford University Press 10.1093/biomet/asac068
Henzi, Alexander; Dümbgen, Lutz (2023). Some new inequalities for beta distributions. Statistics & probability letters, 195, p. 109783. Elsevier 10.1016/j.spl.2023.109783
Dümbgen, Lutz; Mösching, Alexandre (2023). On stochastic orders and total positivity. ESAIM: Probability and Statistics, 27, pp. 461-481. EDP Sciences 10.1051/ps/2023005
Dümbgen, Lutz; Wellner, Jon A. (2023). A new approach to tests and confidence bands for distribution functions. Annals of statistics, 51(1), pp. 260-289. Institute of Mathematical Statistics 10.1214/22-AOS2249
Henzi, Alexander; Mösching, Alexandre; Dümbgen, Lutz (2022). Accelerating the Pool-Adjacent-Violators Algorithm for Isotonic Distributional Regression. Methodology and computing in applied probability, 24(4), pp. 2633-2645. Springer 10.1007/s11009-022-09937-2
Dümbgen, Lutz; Samworth, Richard J.; Wellner, Jon A. (2021). Bounding distributional errors via density ratios. Bernoulli, 27(2), pp. 818-852. International Statistical Institute 10.3150/20-BEJ1256
Dümbgen, Lutz; Mösching, Alexandre; Strähl, Christof (2021). Active set algorithms for estimating shape-constrained density ratios. Computational statistics & data analysis, 163, p. 107300. Elsevier 10.1016/j.csda.2021.107300
Mösching, Alexandre; Dümbgen, Lutz (2020). Monotone least squares and isotonic quantiles. Electronic journal of statistics, 14(1), pp. 24-49. Institute of Mathematical Statistics 10.1214/19-EJS1659
Dümbgen, Lutz; Zamanzade, Ehsan (2020). Inference on a distribution function from ranked set samples. Annals of the Institute of Statistical Mathematics, 72(1), pp. 157-185. Springer 10.1007/s10463-018-0680-y
Dümbgen, Lutz; Wellner, Jon A. (2020). The density ratio of Poisson binomial versus Poisson distributions. Statistics & probability letters, 165, p. 108862. Elsevier 10.1016/j.spl.2020.108862
Zumbrunnen, Niki; Dümbgen, Lutz (2017). pvclass: An R Package for p Values for Classification. Journal of statistical software, 78(4), pp. 1-19. UCLA Statistics 10.18637/jss.v078.i04
Dümbgen, Lutz; Kolesnyk, Petro; Wilke, Ralf A. (2017). Bi-log-concave distribution functions. Journal of statistical planning and inference, 184, pp. 1-17. Elsevier 10.1016/j.jspi.2016.10.005
Krapf, Manuel; Künzi, Lisa; Allenbach, Sandrine; Bruns, Emily A.; Gavarini, Ilaria; El-Haddad, Imad; Slowik, Jay G.; Prévôt, André S. H.; Drinovec, Luka; Močnik, Griša; Dümbgen, Lutz; Salathe, Matthias; Baumlin, Nathalie; Sioutas, Constantinos; Baltensperger, Urs; Dommen, Josef; Geiser, Marianne (2017). Wood combustion particles induce adverse effects to normal and diseased airway epithelia. Environmental science: processes & impacts, 19(4), pp. 538-548. Royal Society of Chemistry 10.1039/C6EM00586A
Dümbgen, Lutz; Nordhausen, Klaus; Schuhmacher, Heike (2016). New Algorithms for M-Estimation of Multivariate Scatter and Location. Journal of multivariate analysis, 144, pp. 200-217. Elsevier 10.1016/j.jmva.2015.11.009
Dümbgen, Lutz; Wellner, Jon A.; Wolff, Malcolm (2016). A law of the iterated logarithm for Grenander's estimator. Stochastic processes and their applications, 126(12), pp. 3854-3864. Elsevier 10.1016/j.spa.2016.04.012
Künzi, Lisa; Krapf, Manuel; Daher, Nancy; Dommen, Josef; Jeannet, Natalie; Schneider, Sarah; Platt, Stephen; Slowik, Jay G.; Baumlin, Nathalie; Salathe, Matthias; Prévôt, André S. H.; Kalberer, Markus; Strähl, Christof; Dümbgen, Lutz; Sioutas, Constantinos; Baltensperger, Urs; Geiser, Marianne (2015). Toxicity of aged gasoline exhaust particles to normal and diseased airway epithelia. Scientific Reports, 5(11801), p. 11801. Nature Publishing Group 10.1038/srep11801
Stettler, Karin; Li, Xiaoming; Sandrock, Björn; Braga, Sophie Marie-Pierre; Heller, Manfred; Dümbgen, Lutz; Suter, Beat (2015). A Drosophila XPD model links cell cycle coordination with neuro-development and suggests links to cancer. Disease models & mechanisms, 8(1), pp. 81-91. Company of Biologists Ltd. 10.1242/dmm.016907
Dümbgen, Lutz; Pauly, M.; Schweizer, Thomas (2015). M-Functionals of Multivariate Scatter. Statistics Surveys, 9, pp. 32-105. 10.1214/15-SS109
Dümbgen, Lutz; Rufibach, Kaspar; Schuhmacher, Dominic (2014). Maximum-Likelihood Estimation of a Log-Concave Density based on Censored Data. Electronic journal of statistics, 8(1), pp. 1405-1437. Institute of Mathematical Statistics 10.1214/14-EJS930
Pescatore, Anina M.; Dogaru, Cristian M.; Dümbgen, Lutz; Silverman, Michael; Gaillard, Erol A.; Spycher, Ben D.; Kuehni, Claudia E. (2014). A simple asthma prediction tool for preschool children with wheeze or cough. Journal of allergy and clinical immunology, 133(1), 111-118.e13. Mosby 10.1016/j.jaci.2013.06.002
Schmidt-Hieber, Johannes; Munk, Axel; Dümbgen, Lutz (2013). Multiscale methods for shape constraints in deconvolution: Confidence statements for qualitative features. Annals of statistics, 41(3), pp. 1299-1328. Institute of Mathematical Statistics 10.1214/13-AOS1089
Rohde, Angelika; Dümbgen, Lutz (2013). Statistical inference for the optimal approximating model. Probability theory and related fields, 155(3-4), pp. 839-865. Springer 10.1007/s00440-012-0414-7
Dümbgen, Lutz; Rufibach, Kaspar (2011). logcondens: Computations Related to Univariate Log-Concave Density estimation. Journal of statistical software, 39(6) Los Angeles, Calif.: UCLA Statistics 10.18637/jss.v039.i06
Dümbgen, Lutz; Samworth, Richard; Schuhmacher, Dominic (2011). Approximation by Log-Concave Distributions, with Applications to Regression. Annals of statistics, 39(2), pp. 702-730. Cleveland, Ohio: Institute of Mathematical Statistics 10.1214/10-AOS853
Schuhmacher, Dominic; Hüsler, André; Dümbgen, Lutz (2011). Multivariate Log-Concave Distributions as a Nearly Parametric Model. Statistics & risk modeling, 28(3), pp. 277-295. Berlin: Oldenbourg Wissenschaftsverlag GmbH 10.1524/stnd.2011.1073
Dümbgen, Lutz; Van de Geer, Sara; Veraar, Marc C; Wellner, Jon A (2010). Nemirovski's Inequalities Revisited. American mathematical monthly, 117(2), pp. 138-160. Washington, D.C.: Mathematical Assoc. of America 10.4169/000298910X476059
Beran, Rudolf; Dümbgen, Lutz (2010). Least Squares and Shrinkage Estimation under Bimonotonicity Constraints. Statistics and computing, 20(2), pp. 177-189. New York, N.Y.: Springer US; http://www.springer-ny.com 10.1007/s11222-009-9124-0
Schuhmacher, Dominic; Dümbgen, Lutz (2010). Consistency of Multivariate Log-Concave Density Estimators. Statistics & probability letters, 80(5-6), pp. 376-380. Amsterdam: North-Holland 10.1016/j.spl.2009.11.013
Bissantz, Nicolai; Dümbgen, Lutz; Munk, Alex; Stratmann, Bernd (2009). Convergence Analysis of Generalized Iteratively Reweighted Least Squares Algorithms on Convex Function Spaces. SIAM journal on optimization, 19(4), pp. 1828-1845. Philadelphia, Pa.: Society for Industrial and Applied Mathematics SIAM 10.1137/050639132
Dümbgen, Lutz; Kovac, Arne (2009). Extensions of smoothing via taut strings. Electronic journal of statistics, 3, pp. 41-75. Shaker Heights, Ohio: Institute of Mathematical Statistics 10.1214/08-EJS216
Dümbgen, Lutz; Rufibach, Kaspar (2009). Maximum likelihood estimation of a log-concave density and its distribution function: Basic properties and uniform consistency. Bernoulli, 15(1), pp. 40-68. The Hague: International Statistical Institute 10.3150/08-BEJ141
Tyler, David E.; Critchley, Frank; Dümbgen, Lutz; Oja, Hannu (2009). Invariant co-ordinate selection. Journal of the Royal Statistical Society. Series B - statistical methodology, 71(3), pp. 549-592. London: Royal Statistical Society 10.1111/j.1467-9868.2009.00706.x
Dümbgen, Lutz; Igl, Bernd-Wolfgang; Munk, Axel (2008). P-Values for Classification. Electronic journal of statistics, 2, pp. 468-493. Shaker Heights, Ohio: Institute of Mathematical Statistics 10.1214/08-EJS245
Dümbgen, Lutz; Walther, Günther (2008). Multiscale inference about a density. Annals of statistics, 36(4), pp. 1758-1785. Cleveland, Ohio: Institute of Mathematical Statistics 10.1214/07-aos521
Dümbgen, Lutz; Riedwyl, Hans (2007). On Fences and Asymmetry in Box-and-Whiskers Plots. American statistician, 61(4), pp. 356-359. Philadelphia, Pa.: Taylor & Francis Group 10.1198/000313007X247058
Gehring, Hartmut; Dümbgen, Lutz; Peterlein, Mareike; Hagelberg, Söhnke; Dibbelt, Leif (2007). Hemoximetry as the gold standard? Error assessment based on differences between identical blood gas analyzer devices of five manufacturers. Anesthesia and analgesia, 105(6), S24-S30. Hagerstown, Md.: Lippincott Williams & Wilkins 10.1213/01.ane.0000268713.58174.cc
Bissantz, Nicolai; Dümbgen, Lutz; Holzmann, Hajo; Munk, Axel (2007). Nonparametric confidence bands in deconvolution density estimation. Journal of the Royal Statistical Society. Series B - statistical methodology, 69(3), pp. 483-506. London: Royal Statistical Society 10.1111/j.1467-9868.2007.599.x
Dümbgen, Lutz; Freitag-Wolf, Sandra; Jongbloed, Geurt (2006). Estimating a Unimodal Distribution from Interval-Censored Data. Journal of the American Statistical Association, 101(475), pp. 1094-1106. Abingdon, UK: Taylor & Francis Group 10.1198/016214506000000032
Dümbgen, Lutz; Piterbarg, Vladimir I; Zholud, Dmitrii (2006). On the limit distribution of multiscale test statistics for nonparametric curve estimation. Mathematical methods of statistics, 15(1), pp. 20-25. New York, N.Y.: Allerton Press
Dümbgen, Lutz; Tyler, David E. (2005). On the Breakdown Properties of some Multivariate M-Functionals. Scandinavian journal of statistics, 32(2), pp. 247-264. Blackwell 10.1111/j.1467-9469.2005.00425.x
Dümbgen, Lutz; Johns, Robert B. (2004). Confidence Bands for Isotonic Median Curves using Sign-Tests. Journal of computational and graphical statistics : JCGS, 13(2), pp. 519-533. American Statistical Association 10.1198/1061860043506
Dümbgen, Lutz; Freitag, Sandra; Jongbloed, Geurt (2004). Consistency of Concave Regression with an Application to Current-Status Data. Mathematical methods of statistics, 13, pp. 69-81. Allerton Press
Dümbgen, Lutz (2003). Optimal Confidence Bands for Shape-Restricted Curves. Bernoulli, 9(3), pp. 423-449. International Statistical Institute 10.3150/bj/1065444812
Dümbgen, Lutz (2002). Application of Local Rank Tests for Nonparametric Regression. Journal of Nonparametric Statistics, 14(5), pp. 511-537. Taylor & Francis 10.1080/10485250213903
Dümbgen, Lutz; Gysel, Katrin; Perler, Fabrice (2023). Refining Invariant Coordinate Selection via Local Projection Pursuit. In: Yi, Mengxi; Nordhausen, Klaus (eds.) Robust and Multivariate Statistical Methods: Festschrift in Honor of David E. Tyler (pp. 121-136). Cham: Springer International Publishing 10.1007/978-3-031-22687-8_6
Dümbgen, Lutz; Leuenberger, Christoph (2015). Explicit Error Bounds via Total Variation. In: Miller, Steven J. (ed.) Benford's Law: Theory and Applications (pp. 117-132). Princeton University Press
Dümbgen, Lutz; Rufibach, Kaspar; Wellner, Jon (2007). Marshall's Lemma for Convex Density Estimation. In: Cator, Eric A.; Jongbloed, Geurt; Kraaikamp, Cor; Lopuhaä, Hendrik P.; Wellner, Jon A. (eds.) Asymptotics: Particles, Processes and Inverse Problems: Festschrift for Piet Groeneboom. Lecture Notes - Monograph Series: Vol. 55 (pp. 101-107). Beachwood, Ohio, USA: Institute of Mathematical Statistics
Dümbgen, Lutz (2015). Einführung in die Statistik [Textbook] . Mathematik kompakt. Basel: Birkhäuser 10.1007/978-3-0348-0004-4
Dümbgen, Lutz (2010). Biometrie. Studienbücher Medizinische Informatik. Studium. Wiesbaden: Vieweg & Teubner
Dümbgen, Lutz (2003). Stochastik für Informatiker [Textbook] . Berlin Heidelberg: Springer 10.1007/978-3-642-55565-7
Dümbgen, Lutz; Mühlemann, Anja; Ziegel, Johanna F.; Brunnhofer, Ursina; Bürki, Martin; Kaeslin, Livio; Rodriguez, Georg (2018). Kalibrierung von Quell-Ziel-Matrizen (Technische Berichte 79). IMSV
Dümbgen, Lutz (2016). (Ab)Using Regression for Data Adjustment (Technical report 78). Bern: IMSV, University of Bern
Dümbgen, Lutz; Schweizer, Thomas; Pauly, Markus (2013). M-Functionals of Multivariate Scatter Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Dümbgen, Lutz; Samworth, Richard; Schuhmacher, Dominic (2010). Approximation by Log-Concave Distributions with Applications to Regression Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Dümbgen, Lutz (2010). Bounding Standard Gaussian Tail Probabilities (Technical Report / University of Bern Institute of Mathematical Statistics and Actuarial Science 76). University of Bern
Rohde, Angelika; Dümbgen, Lutz (2009). Adaptive Confidence Sets for the Optimal Approximating Model Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Schuhmacher, Dominic; Hüsler, André; Dümbgen, Lutz (2009). Multivariate Log-Concave Distributions as a Nearly Parametric Model (Technical Report 74). Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Cule, Madeleine L.; Dümbgen, Lutz (2009). On an Auxiliary Function for Log-Density Estimation (Technical Report 71). Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Dümbgen, Lutz (2009). Variance Inequalities for Unimodal Distributions on the Unit Interval Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Dümbgen, Lutz; Zumbrunnen, Niki (2009). Some Methods for the Comparison of Three Expert Judgements Bern: Institut für mathematische Statistik und Versicherungslehre der Universität Bern (IMSV)
Dümbgen, Lutz; Del Conte-Zerial, Perla (1 March 2013). On low-dimensional projections of high-dimensional distributions. In: From Probability to Statistics and Back: High-Dimensional Models and Processes. A Festschrift in Honor of Jon Wellner. IMS Collections: Vol. 9 (pp. 91-104). Hayward, California: Institute of Mathematical Statistics 10.1214/12-IMSCOLL908
Dümbgen, Lutz; Samworth, Richard J.; Schuhmacher, Dominic (1 March 2013). Stochastic search for semiparametric linear regression models. In: From Probability to Statistics and Back: High-Dimensional Models and Processes. A Festschrift in Honor of Jon Wellner. IMS Collections: Vol. 9 (pp. 78-90). Hayward, California: Institute of Mathematical Statistics 10.1214/12-IMSCOLL907
Ziaian, Dammon; Zimmermann, Stefan; Dümbgen, Lutz; Berggreen, Astrid E; Grossherr, Martin; Gehring, Hartmut; Hengstenberg, Andreas (2013). An analysis of variance type method to describe and compare steady states in clinical data. In: The 4th International Conference on E-Health and Bioengineering - EHB 2013 (pp. 1-4). IEEE 10.1109/EHB.2013.6707416
Dümbgen, Lutz (2007). Confidence Bands for Convex Median Curves using Sign-Tests. In: Cator, Eric A.; Jongbloed, Geurt; Kraaikamp, Cor; Lopuhaä, Hendrik P.; Wellner, Jon A. (eds.) Asymptotics: Particles, Processes and Inverse Problems: Festschrift for Piet Groeneboom. Lecture Notes - Monograph Series: Vol. 55 (pp. 85-100). Beachwood, Ohio, USA: Institute of Mathematical Statistics
Spycher, Ben Daniel (2010). Analysis of Phenotypic Variation in Childhood Wheezing Disorders (Unpublished). (Dissertation, Graduate School for Cellular and Biomedical Sciences, Medical Faculty of the University of Bern)
