Institute for Mathematical Stochastics

Publikationen: Prof. Dr. Munk

  • Koenig, C., Munk, A., Werner, F., (2023).
    Multiscale scanning with nuisance parameters arxiv.org/abs/2307.13301 . Submitted.
  • Moesching, A., Li, H., Munk, A. (2023).
    Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models arXiv.2305.18578. Submitted.
  • Laitenberger, O., Aspelmeier, T., Staudt, T., Geisler, C., Munk, A., Egner, A. (2023).
    Towards Unbiased Fluorophore Counting in Superresolution Fluorescence Microscopy. Nanomaterials, 13(3), 459 Submitted.
  • Hundrieser, S., Staudt, T., Munk, A., (2023).
    Empirical Optimal Transport between Different Measures Adapts to Lower Complexity. arXiv:2202.10434 Annales de l’Institut Henri Poincaré. To appear.
  • Heinemann, F., Klatt, M., Munk, A. (2023).
    Kantorovich-Rubinstein distance and barycenter for finitely supported measures: Foundations and Algorithms. arXiv:2112.03851 Applied Mathematics & Optimization, 87 (1), 4.
  • Hundrieser, S., Klatt, M., Munk, A. (2023).
    Limit Distributions and Sensitivity Analysis for Entropic Optimal Transport on Countable Spaces. arXiv:2105.00049 Annals of Applied Probability. To appear.
  • Heinemann, F., Munk, A., Zemel, Y. (2022).
    Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees. arXiv:2012.06397 SIAM Journal on Mathematics of Data Science, 4, 229 - 259.
  • Behr, M., Munk, A. (2022).
    Statistical Methods for Minimax Estimation in Linear Models with Unknown Design Over Finite Alphabets. SIAM Journal on Mathematics of Data Science, 4, 490-513.
  • Staudt, T., Hundrieser, S., Munk, A. (2022).
    On the Uniqueness of Kantorovich Potentials. arXiv:2201.08316. Submitted.
  • Hundrieser, S., Klatt, M., Staudt, T., Munk, A. (2022).
    A Unifying Approach to Distributional Limits for Empirical Optimal Transport. arXiv:2202.12790. Submitted.
  • Mordant, G., Munk, A. (2022).
    Statistical analysis of random objects via metric measure Laplacians. arXiv:2204.06493 SIAM Journal on Mathematics of Data Science. To appear.
  • Proksch, K., Werner, F., Keller-Findeisen, J., Ta, H., Munk, A. (2022).
    Towards quantitative super-resolution microscopy: Molecular maps with statistical guarantees. arXiv:2207.13426. Submitted.
  • Weitkamp, C., Proksch, K., Tameling, C., Munk, A. (2022).
    Distribution of Distances based Object Matching: Asymptotic Inference. arXiv:2006.1228 Journal of the American Statistical Association, 1-14.
  • Hundrieser, S., Klatt, M., Munk, A. (2022).
    The Statistics of Circular Optimal Transport. arxiv.org/abs/2103.15426 Directional Statistics for Innovative Applications: A Bicentennial Tribute to Florence Nightingale, 57-82.
  • Haltmeier, H., Li, H., Munk, A. (2022).
    A variational view on statistical multiscale estimation. Annual Review of Statistics and Its Application, 9, 343-372.
  • Klatt, M., Munk, A., Zemel, Y. (2022).
    Limit Laws for Empirical Optimal Solutions in Stochastic Linear Programs. arXiv:2007.13473v1 Annals of Operations Research, 315, 251-278.
  • Vanegas, L., J., Behr, M., Munk, A. (2022).
    Multiscale quantile segmentation arXiv:1902.09321 Journal of the American Statistical Association, 117 (539), 1384-1397.
  • Pohlmann, M., Werner F., Munk, A. (2021).
    Minimax detection of localized signals in statistical inverse problems. arXiv:2112.05648. Submitted.
  • Pein, F., Eltzner, B., Munk, A. (2021).
    Analysis of patchclamp recordings: model-free multiscale methods and software. European Biophysics Journal, 50 (3), 187 - 209.
  • Nies, T., G., Staudt, T., Munk, A. (2021).
    Transport Dependency: Optimal Transport Based Dependency Measures arXiv:2105.02073. Submitted.
  • Tameling, C., Stoldt, S., Stepahn, T., Naas, J., Jakobs, S., Munk, A. (2021).
    Colocalization for super-resolution microscopy via optimal transport. Nature Computational Science, 2021 (1), 199-211.
  • Vanegas, L. J., Eltzner, B., Rudolf, D., Dura, M., Lehnart, S. E., Munk, A. (2021).
    Analyzing cross-talk between superimposed signals: Vector norm dependent hidden Markov models and applications. arXiv:2103.06071. Submitted.
  • Schmidt-Hieber, J., Schneider, LF., Staudt, T., Krajina, A., Aspelmeier, T., Munk, A. (2021).
    Posterior analysis of n in the binomial (n,p) problem with both parameters unknown -- with applications to quantitative nanoscopy. arXiv:1809.02443 The Annals of Statistics, 49(6), 3534-3558.
  • Pelizzola, M., Behr, M., Li, H., Munk, A., Futschik, A. (2021).
    Multiple Haplotype Reconstruction from Allele Frequency Data. bioRxiv:2020.07.09.191924 Nature Computational Science, 2021 (1), 262-271.
  • Bartsch, A., Ives, CM, Kattner, C., Pein, F., Tanabe, M., Munk, A., Zachariae, U., Steinem, C., Llabrés, S. (2021).
    An antibiotic-resistance conferring mutation in a neisserial porin: Structure, ion flux, and ampicillin binding. bioRxiv:2020.11.06.369579 Biochimica et Biophysica Acta (BBA) - Biomembranes, 1863 (6).
  • Kulaitis, G., Munk, A., Werner, F. (2021).
    What is resolution? A statistical minimax testing perspective on super-resolution microscopy. arXiv:2005.07450 The Annals of Statistics, 49 (4), 2292-2312.
  • Mémoli, F., Munk, A., Wan Z., Weitkamp, CA. (2021).
    The ultrametric Gromov-Wasserstein distance. arXiv:2101.05756 Discrete & Computational Geometry. To appear.
  • del Álamo, M., Li, H., Munk, A. (2021).
    Frame-constrained Total Variation Regularization for White Noise Regression. arXiv:1807.02038 The Annals of Statistics, 49 (3), 1318-1346.
  • Staudt, T., Aspelmeier, T., Laitenberger, O., Geisler, C., Egner, A., Munk, A. (2020).
    Statistical molecule counting in super-resolution fluorescence microscopy: Towards quantitative nanoscopy arXiv:1903.11577 Statistical Science, 35 (1), 92-111 Submitted.
  • Munk, A., Proksch, K., Li, H., Werner, F. (2020).
    Photonic Imaging with Statistical Guarantees: From Multiscale Testing to Multiscale Estimation. Nanoscale Photonic Imaging, 283-312.
  • Weitkamp, CA., Proksch, K., Tameling, C., Munk, A. (2020).
    Gromov-Wasserstein Distance based Object Matching: Asymptotic Inference. arXiv:2006.12287. Submitted.
  • Pein, F., Bartsch, A., Steinem, C., Munk, A. (2020).
    Heterogeneous Idealization of Ion Channel Recordings-Open Channel Noise. arXiv:2008.02658 IEEE Transactions on NanoBioscience , 20 (1), 57-78.
  • Heinemann, F., Munk, A., Zemel, Y. (2020).
    Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees arXiv:2012.06397 SIAM Journal on Mathematics of Data Science. To appear.
  • Kovacs, S., Li, H., Haubner, L., Munk, A., Bühlmann, P. (2020).
    Optimistic search strategy: Change point detection for large-scale data via adaptive logarithmic queries arXiv:2010.10194. Submitted.
  • del Alamo, M., Li H., Munk A., Werner F. (2020).
    Variational multiscale nonparametric regression: Algorithms and implementation arXiv:2010.10660 Algorithms, 13 (11), 296.
  • Kovacs, S., Li, H., Peter Buehlmann, P., Munk, A. (2020).
    Seeded Binary Segmentation: A general methodology for fast and optimal change point detection arxiv:2002.06633. Submitted.
  • Enikeeva, F., Munk, A., Pohlmann, M, Werner, F. (2020).
    Bump detection in the presence of dependency: Does it ease or does it load? arXiv:1906.08017 Bernoulli, 26 (4), 3280-3310.
  • del Álamo, M., Munk, A. (2020).
    Total variation multiscale estimators for linear inverse problems. arXiv:1905.08515 Information and Inference: A Journal of the IMA, 9 (4), 961-986.
  • Behr, M., Azim, M., Munk, A., Holmes, C. (2020).
    Testing for dependence on tree structures. bioRxiv:622811 Proceedings of the National Academy of Sciences, 117 (18), 9787-9792.
  • Klatt, M., Tameling, C., Munk, A. (2020).
    Empirical Regularized Optimal Transport: Statistical Theory and Applications. arXiv:1810.09880 SIAM Journal on Mathematics of Data Science, 2 (2), 419-443.
  • König, C., Munk, A., Werner, F. (2020).
    Multidimensional multiscale scanning in exponential families: Limit theory and statistical consequences. arXiv:1802.07995 Annals of Statistics, 48 (2), 655-678.
  • Li, Housen, Werner, Frank (2020).
    Empirical Risk Minimization as Parameter Choice Rule for General Linear Regularization Methods. arXiv:1703.07809 Annales de l’Institut Henri Poincaré, 56(1), 405-427.
  • Li, H., Munk, A., Sieling, H., Walther, G. (2020).
    The essential histogram arxiv:1612.07216 Biometrika, 107 (2), 347-364.
  • Schneider, LF., Staudt, T., Munk, A. (2019).
    Posterior Consistency in the Binomial (n,p) Model with Unknown n and p: A Numerical Study. arXiv:1809.02459 Bayesian Statistics and New Generations, Springer Proceedings in Mathematics and Statistics, Print ISBN: 978-3-030-30610-6.
  • Frahm, L., Keller-Findeisen, K., Alt, P., Schnorrenberg, S., del Alamo Ruiz, M., Aspelmeier, T., Munk, A., Jakobs, S., Hell, S. (2019).
    Molecular contribution function in RESOLFT nanoscopy. Optics Express, 27 (15), 21956-21987.
  • Bartsch, A., Llabrés, S., Pein, F., Kattner, C., Schön, M., Diehn, M., Tanabe, M., Munk, A., Zachariae, U., Steinem, C. (2019).
    High-resolution experimental and computational electrophysiology reveals weak β-lactam binding events in the porin PorB bioRxiv:303891 Scientific Reports, 9, 1264.
  • Diehn, M., Munk, A., Rudolf, D. (2019).
    Maximum likelihood estimation in hidden Markov models with inhomogeneous noise. arXiv:1804.04034 ESAIM: Probability and Statistics, 23, 492-523.
  • Sommerfeld, M., Schrieber, J., Munk, A. (2019).
    Optimal transport: Fast probabilistic approximation with exact solvers. arXiv:1802.05570 Journ. Mach. Learn. Research, 20 (105), 1-23.
  • Li, H., Guo, Q., Munk, A. (2019).
    Multiscale change-point segmentation: Beyond step functions. arXiv:1708.03942 Electronic Journal of Statistics, 13, 3254-3296.
  • Tameling, C., Sommerfeld, M., Munk, A. (2019).
    Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications. arXiv:1707.00973 Annals of Applied Probability, 29 (5), 2744-2781.
  • Bühlmann, P., Munk, A., Wainwright, M., Yu, B. (2018).
    Statistical Recovery of Discrete, Geometric and Invariant Structures. Oberwolfach Reports, 14 (1), 949-999.
  • Tameling, C., Munk, A. (2018).
    Computational strategies for statistical inference based on empirical optimal transport. IEEE Data Science Workshop (DSW), 2018, 175-179 To appear.
  • Pein, F., Tecuapetla-Gómez, I., Schütte, O. M., Steinem, C., Munk, A. (2018).
    Fully-Automatic Multiresolution idealization for filtered ion channel recordings: Flickering event detection. arXiv:1706.03671 IEEE Transactions on NanoBioscience, 17 (3), 300-320.
  • Proksch, K., Werner, F., Munk, A. (2018).
    Multiscale scanning in inverse problems. arXiv:1611.04537 The Annals of Statistics, 46 (6B), 3569-3602.
  • Sommerfeld, M. , Munk, A. (2018).
    Inference for empirical Wasserstein distances on finite spaces. arXiv:1610.03287 Journ. Royal. Statist. Soc. Ser. B, 80, 219-238.
  • Behr, M., Holmes, C., Munk, A. (2018).
    Multiscale blind source separation. arXiv:1608.07173 The Annals of Statistics, 46, 711-744.
  • Grasmair, M., Li, H., Munk, A. (2018).
    Variational multiscale nonparametric regression: smooth functions arXiv:1512.01068 Annales de l’Institute Henri Poincare (B), Probabilités et Statistiques , 54, 1058-1097.
  • Enikeeva, F., Munk, A., Werner, F. (2018).
    Bump detection in heterogeneous Gaussian regression. arXiv:1504.07390 Bernoulli, 24, 1266-1306.
  • Behr, M., Munk, A. (2017).
    Minimax estimation in linear models with unknown finite alphabet design arXiv:1711.04145. Submitted.
  • Singer, M., Krivobokova, T., Munk, A. (2017).
    Kernel partial least squares for stationary data. arXiv:1706.03559 Journ. Mach. Learn. Research, 18, 1-41.
  • Mütze, T., Konietschke, F., Munk, A., Friede, T. (2017).
    A studentized permutation test for three-arm trials in the "gold standard" design. arXiv:1610.09388  Statistics in Medicine, 36, 883-898.
  • Tecuapetla-Gómez, I., Munk, A. (2017).
    Autocovariance estimation in regression with a discontinuous signal and m-dependent errors: A difference-based approach (R package: dbacf). arXiv:1507.02485v4 Scandinavian Journal of Statistics, 44, 346-368.
  • Behr, M., Munk, A. (2017).
    Identifiability for blind source separation of multiple finite alphabet linear mixtures. arXiv:1505.05272 IEEE Trans. Inf. Theory, 63, 5506 - 5517.
  • Pein, F., Sieling, H., Munk, A. (2017).
    Heterogeneuous change point inference (R package: HSMUCE). arXiv:1505.04898 Journ. Royal. Statist. Soc. Ser. B, 79, 1207–1227.
  • Bauer, U., Munk, A., Sieling, H., Wardetzky, M. (2017).
    Persistence barcodes versus Kolmogorov signatures: Detecting modes of one-dimensional signals. arXiv:1404.1214 Foundations of Computational Mathematics, 17, 1-33.
  • Singer, M., Krivobokova, T., Munk, A., de Groot, B., L. (2016).
    Partial least squares for dependent data. Biometrika, 103, 351-362.
  • Hafi, N., Grunwald, M., van den Heuvel, L. S., Aspelmeier, T., Chen, J.-H., Zagrebelsky, M., Schuette, O. M., Steinem, C., Korte, M., Munk, A., Walla, J. P. (2016).
    Corrigendum: Fluorescence nanoscopy by polarization modulation and polarization angle narrowing. Nature Methods, 13, 101.
  • Hafi, N., Grunwald, M., van den Heuvel, l.S., Aspelmeier, T., Steinem, C., Korte, M., Munk, A., Walla, J.P. (2016).
    Reply to "Polarization modulation adds little additional information to super-resolution fluorescence microscopy" Nature Methods, 13, 8-9.
  • Mütze, T., Munk, A., Friede, T. (2016).
    Design and analysis of three‐arm trials with negative binomially distributed endpoints. Statistics in Medicine, 35, 505 - 521.
  • Rippl, T., Munk, A., Sturm, A. (2016).
    Limit laws of the empirical Wasserstein distance: Gaussian distributions. Journal of Multivariate Analysis, 151, 90-109.
  • Li, H., Munk, A., Sieling, H. (2016).
    FDR-control in multiscale change-point segmentation. Electron. J. Statist., 10, 918-959.
  • Huckemann, S.F., Kim. K.-R., Munk, A., Rehfeld, F., Sommerfeld, M., Weickert, J., Wollnik, C. (2016).
    The circular SiZer, inferred persistence of shape parameters and application to stem cell stress fibre structures. Bernoulli, arxiv.org 1404.3300, 22, 2113-2142.
  • Hartmann, A., Huckemann, S., Dannemann, J., Laitenberger, O., Geisler, C., Egner, A., Munk, A. (2016).
    Drift estimation in sparse sequential dynamic imaging: with application to nanoscale fluorescence microscopy. arXiv:1403.1389 Royal Statist. Society, Ser. , B78, 563–587.
  • Ta, H., Keller, J., Haltmeier, M. Saka, S.K., Schmied, J., Opazo, F., Tinnefeld, P., Munk, A., Hell, S.W. (2015).
    Mapping molecules in scanning far-field fluorescence nanoscopy. Nature Communications, 6, 1-7, DOI: 10.1038/ncomms8977.
  • Munk, A., Werner, F. (2015).
    Discussion of “Hypotheses testing by convex optimization” Electron. J. Statist., 9, 1720-1722.
  • Peter, P., Weickert,J., Munk, A., Krivobokova, T., Li, H. (2015).
    Justifying tensor-driven diffusion from structure-adaptive statistics of natural images. Energy Minimization Methods in Computer Vision and Pattern Recognition, 8932, 263--277.
  • Aspelmeier, T., Egner, A., Munk, A. (2015).
    Modern Statistical Challenges in High Resolution Fluorescence Microscopy. Annual Review of Statistics and its Application, 2, 163-202.
  • Sabel, T., Schmidt-Hieber, J., Munk, A. (2015).
    Spot volatility estimation for high-frequency data: adaptive estimation in practice. Springer Lecture Notes in Statistics: Modeling and Stochastic Learning for Forecasting in High Dimension, 213-241.
  • Tams, B. and Mihailescu, P. and Munk, A. (2015).
    Security considerations in minutiae-based fuzzy vaults. IEEE Transactions on Information Forensics and Security, 10, 985 - 998 (Preprint).
  • Hafi, N., Grunwald, M., van den Heuvel, L.S., Aspelmeier, T., Chen, J.-H., Zagrebelsky, M., Schütte, O.M., Steinem, C., Korte, M., Munk, A., Walla, P.J. (2014).
    Fluorescence nanoscopy by polarization modulation and polarization angle narrowing. Nature Methods, 11, doi: 10.1038/nmeth.2919.
  • Futschik, A., Hotz, T., Munk, A., Sieling, H. (2014).
    Multiscale DNA partitioning: statistical evidence for segments. Bioinformatics, doi: 10.1093/bioinformatics/btu180 (Preprint).
  • Greb, F., Krivobokova, T., Munk, A., von Cramon-Taubadel, S. (2014).
    Regularized Bayesian estimation of generalized threshold regression models. Bayesian Analysis, 9, 171-196 (Preprint).
  • Frick, S., Hohage, T., Munk, A. (2014).
    Asymptotic laws for change point estimation in inverse regression. Statistica Sinica, 24, 555-575 (Preprint).
  • Frick, K., Munk, A., Sieling, H. (2014).
    Multiscale Change-Point Inference (software "stepR" for multiscale change point analysis "SMUCE") With discussion and rejoinder by the authors. Journ. Royal Statist. Society, Ser. B., 76, 495-580. arXiv:1301.7212 long version with full proofs.
  • Haltmeier, M., Munk, A. (2014).
    Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding. Applied and Computational Harmonic Analysis, 36, 434–460.
  • Greb, F., von Cramon-Taubadel, S., Krivobokova, T., Munk, A. (2013).
    The estimation of threshold models in price transmission analysis. American Journal of Agricultural Economics, 95, 900-916.
  • Yalunin, S. V., Herink, G., Solli, D. R., Krüger, M., Hommelhoff, P., Diehn, M., Munk, A., Ropers, C. (2013).
    Field localization and rescattering in tip-enhanced photoemission. Ann. Phys., 525, L12-L18.
  • Li, H., Haltmeier, M., Zhang, S., Frahm, J., Munk, A. (2013).
    Aggregated Motion Estimation for Image Reconstruction in Real-Time MRI (Supplements). Magnetic Resonance in Medicine, DOI: 10.1002/mrm.25020.
  • Friede, T., Kombrink, K., Munk, A. (2013).
    Design and semiparametric analysis of non-inferiority trials with active and placebo control for censored time to event data Statistics in Medicine, 32, 3055-3066.
  • Hotz,T., Schütte, O., Sieling, H., Polupanow, T., Diederichsen, U., Steinem, C., Munk, A. (2013).
    Idealizing ion channel recordings by jump segmentation and statistical multiresolution analysis IEEE Trans. on NanoBioScience, 12, 376-386. (Preprint).
  • Frick,K. Marnitz,P. Munk,A. (2013).
    Statistical Multiresolution Estimation for Variational Imaging: With an Application in Poisson-Biophotonics. J. Math. Imaging Vision, 46, 370-387.
  • Schmidt-Hieber, J., Munk, A., Duembgen, L. (2013).
    Multiscale Methods for Shape Constraints in Deconvolution: Confidence Statements for Qualitative Features. Annals of Statistics, 41, 1299-1328 (Preprint).
  • Krivobokova, T., Briones, R., Hub, J., Munk, A., de Groot, B. (2012).
    Partial least squares functional mode analysis: application to membrane proteins AQP1, Aqy1 and CLC-ec1 Biophysical Journal, 103, 786-796.
  • Geisler, C., Hotz, T., Schönle, A., Hell, S. W., Munk, A., Egner, A. (2012).
    Drift estimation for single marker switching based imaging schemes. Optics Express, 20, 7274-7289.
  • Hotz, T., Marnitz, P., Stichtenoth, R., Davies, L., Kabluchko, Z., Munk, A. (2012).
    Locally adaptive image denoising by a statistical multiresolution criterion. Comp. Stat. Data Anal., 56, 543-558.
  • Frick, K., Marnitz, P., Munk, A. (2012).
    Statistical Multiresolution Dantzig Estimation in Imaging: Fundamental Concepts and Algorithmic Framework Electron. J. Stat., 6, 231-268.
  • Hoffmann, M., Munk, A., Schmidt-Hieber, J. (2012).
    Adaptive wavelet estimation of the diffusion coefficient under additive error measurements. Annales de l’Institute Henri Poincare, 48, 1186--1216 (Preprint).
  • Frick, K., Marnitz, P., Munk, A. (2012).
    Shape Constrained Regularisation by Statistical Multiresolution for Inverse Problems Inverse Problems, 28, 065006.
  • Hotz, T., Gottschlich, C., Lorenz, R., Bernhardt, S., Hantschel, M., Munk, A. (2011).
    Statistical Analyses of Fingerprint Growth. BIOSIG 2011 - Proceedings - International Conference of the Biometrics Special Interest Group, 08.-09. September 2011 in Darmstadt, Germany. Lecture Notes in Informatics, P-191, 11-20.
  • Gottschlich, C., Hotz, T., Lorenz, R., Bernhardt, S., Hantschel, M., Munk, A. (2011).
    Modeling the Growth of Fingerprints Improves Matching for Adolescents IEEE Transactions on Information Forensics and Security, 6, 1165-1169.
  • Munk, A. , Stockis, J.P., Valeinis, J., Giese, G. (2011).
    Neyman smooth goodness of fit tests for the marginal distribution of dependent data. Ann. Inst. Statist. Math. , 63, 639-659.
  • Dannemann, J., Munk, A. (2010).
    Discussion of "Maximum likelihood estimation of a multi-dimensional log-concave density" by Cule, Samworth and Stewart. J. Royal Statist. Society, Ser. B, 72, 593-595.
  • Munk, A., Schmidt-Hieber, J. (2010).
    Lower bounds for volatility estimation in microstructure noise models. Borrowing Strength: Theory Powering Applications - A Festschrift for Lawrence D. Brown, IMS Collections, 6, 43-55 To appear (Preprint).
  • Huckemann, S., Hotz, T., Munk, A. (2010).
    Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions. Discussion paper with rejoinder. Statistica Sinica, 20, 1-100 (Preprint).
  • Munk, A., Pricop, M. (2010).
    On the self-regularization property of the EM algorithm for Poisson inverse problems. Statistical Modelling and Regression Structures. Festschrift in Honour of Luwdig Fahrmeir. (Eds.) T. Kneib, G. Tutz, 431-446.
  • Mielke, M., Munk, A. (2010).
    The assessment and planning of non-inferiority trials for retention of effect hypotheses - towards a general approach. arXiv:0912.4169v1 [stat.ME]. In revision.
  • Huckemann, S., Kim, P., Koo, J.-Y., Munk, A. (2010).
    Moebius deconvolution on the hyperbolic plane with application to impedance density estimation. Ann. Statist., 38, 2465-2498 (Preprint).
  • Munk, A., Schmidt-Hieber, J. (2010).
    Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise. Electronic Journal of Statistics, 4, 781-821 (Preprint).
  • Hotz, T., Huckemann, S., Gaffrey, D., Munk, A., Sloboda, B. (2010).
    Shape spaces for pre-alingend star-shaped objects in studying the growth of plants. Journal of the Royal Statistical Society, Series C (Applied Statistics), 59, 127-143 (Preprint).
  • Huckemann, S., Hotz, T., Munk, A. (2010).
    Intrinsic MANOVA for Riemannian Manifolds with an Application to Kendalls Spaces of Planar Shapes. IEEE Trans. Patt. Anal. Mach. Intell., 32, 593-603, "Spotlight Paper" for this issue with its "Special Section on Shape Analysis and its Applications in Image Understanding", freely available until 18 March 2010 (Preprint).
  • Cai, T. T., Munk, A., Schmidt-Hieber, J. (2010).
    Sharp minimax estimation of the variance of Brownian motion corrupted with Gaussian noise. (Including Supplementary material). Statistica Sinica, 20, 1011-1024 (Preprint).
  • Huckemann, S., Hotz, T., Munk, A. (2010).
    Rejoinder on "Intrinsic shape analysis: Geodesic principal component analysis for Riemannian manifolds modulo Lie group actions." Statistica Sinica, 20, 1-100 (Preprint).
  • Mihailescu, P. and Munk, A. and Tams B. (2009).
    The fuzzy vault for fingerprints is vulnerable to brute force attack. in Proc. BIOSIG 2009, ser. LNI, vol. 155, pp. 43-45.
  • Huckemann, S., Hotz, T., Munk, A. (2009).
    Intrinsic two-way MANOVA for shape spaces. Proc. of the ISI2009, article.
  • Balabdaoui, F., Mielke, M., Munk, A. (2009).
    The likelihood ratio test for non-standard hypotheses near the boundary of the null - with application to the assessment of non-inferiority. Statistics & Decisions, 27, 75-92.
  • Munk, A., Schmidt-Hieber, J. (2009).
    The Estimation of Different Scales in Microstructure Noise Models from a Nonparametric Regression Perspective Oberwolfach Reports, 6, 2210-2212.
  • Gottschlich, C., Mihailescu, P., Munk, A. (2009).
    Robust Orientation Field Estimation in Fingerprint Images with Broken Ridge Lines Proc. Image and Signal Processing and Analysis (ISPA), 529-533.
  • Gottschlich, C., Mihailescu, P., Munk, A. (2009).
    Robust Orientation Field Estimation and Extrapolation Using Semilocal Line Sensors IEEE Transactions on Information Forensics and Security, 4(4), 802-811.
  • Bauer, F., Hohage, T., Munk, A. (2009).
    Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise SIAM J. Num. Anal. , 47, 1827-1846 (Preprint).
  • Kabluchko, Z., Munk, A. (2009).
    Shao s theorem on the maximum of standardized random walk increments for multidimensional arrays. ESAIM Prob. Stat., 13, 409-416 (Preprint).
  • Bissantz, N., Claeskens, G., Holzmann, H., Munk, A. (2009).
    Testing for lack of fit in inverse regression -- with applications to biophotonic imaging. J. Royal Statist. Soc. Ser. B, 71(1), 25-48 (Preprint).
  • Boysen, L., Bruns, S., Munk, A. (2009).
    Jump estimation in inverse regression. Elect.ronic J. Statist. , 3, 1322-1359 (Preprint).
  • Bissantz, N., Dümbgen, L., Munk, A., Stratmann, B. (2009).
    Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces.SIAM J. Optimization, 19, 1828-45.
  • Boysen, L., Kempe, A., Munk, A., Liebscher, V., Wittich, O. (2009).
    Consistencies and rates of convergence of jump penalized least squares estimators. Ann. Statist., 37, 157-183 (Preprint).
  • Bissantz, N., Mair, B., Munk, A. (2008).
    A statistical stopping rule for MLEM reconstructions in PET. IEEE Nucl. Sci. Symp. Conf. Rec., 8, 4198-4200.
  • Mieloch, K., Munk, A., Mihailescu, P. (2008).
    Hierarchically linked extended features in fingerprints. Proc. of the 6th Biometrics Symposium 2008 (BSYM) , 47-52 (Preprint).
  • Dümbgen, L., Igl, B.W., Munk, A. (2008).
    P-values for classification. Electronic J. Stat., 2, 468-493 (Preprint).
  • Kabluchko, Z., Munk, A. (2008).
    Exact convergence rate for the maximum of standardized Gaussian increments. Elect. Comm. in Probab., 13, 302-310. Abstract and PDF.
  • Mielke, M., Munk, A., Schacht, A. (2008).
    Technical Report on "The assessment of non-inferiority in a gold standard design with censored, exponentially distributed endpoints". (Preprint).
  • Lakomek, N.A., Walter, K., Fares, C., Lange, O., de Groot, B., Grubmuller, H., Bruschweiler, R., Munk, A., Becker, S., Meiler, J., Griesinger, C. (2008).
    Self-consistent residual dipolar coupling based model-free analysis for the robust determination of nanosecond to microsecond protein dynamics. Journal of Biomolecular NMR, 41, 139-155, (supplement ) (Preprint).
  • Holzmann, H., Munk, A. (2008).
    Reply to Reader Reacton: On the nonidentifiability of population sizes Biometrics, 64, 979-981.
  • Huckemann, S., Hotz, T., Munk, A. (2008).
    Global Models for the Orientation Field of Fingerprints: An Approach Based on Quadratic Differentials. IEEE Trans. Patt. Anal. Mach. Intell., 30(9), 1507-1519 (Preprint).
  • Mielke, M., Munk, A., Schacht, A. (2008).
    The assessment of non-inferiority in a gold standard design with censored, exponentially distributed endpoints. Statistics in Medicine, 27, 5093-5110.
  • Munk, A., Paige, R., Pang, J., Patrangenaru, V., Ruymgaart, F. (2008).
    The one- and multi-sample problem for functional data with application to projective shape analysis. J. Multivariate Analysis, 99, 815-833 (Preprint).
  • Bauer, F., Munk, A. (2007).
    Optimal regularization for ill-posed problems in metric spaces. J. Inverse and Ill-Posed Problems, 15, 137-148 (Preprint).
  • Bissantz, N., Dümbgen, L., Holzmann, H. and Munk, A. (2007).
    Nonparametric confidence bands in deconvolution density estimation. J. Royal Statist. Society Ser. B., 69, 483-506.
  • Boysen, L., Liebscher, V., Munk, A., Wittich, O. (2007).
    Scale Space Consistency of Piecewise Constant Least Squares Estimators - Another Look at the Regressogram. IMS Lecture Notes Series, 55, 65-84 (Preprint).
  • Munk, A. Neumeyer, N., Scholz, A. (2007).
    Nonparametric analysis of covariance - the case of inhomogeneous and heteroscedastic noise Scand. J. Statist., 34, 511-534 (Preprint).
  • Bissantz, N., Hohage, T., Munk, A., Ruymgaart, F. (2007).
    Convergence rates of general regularization methods for statistical inverse problems and applications. SIAM J. Numerical Analysis, 45, 2610-2636. (Preprint).
  • Holzmann, H., Bissantz, N. und Munk, A. (2007).
    Density testing in a contaminated sample J. Multivariate Analysis, 98, 57-75. (Preprint).
  • Munk, A., Mielke, M., Skipka, G., Freitag, G. (2007).
    Testing noninferiority in three-armed clinical trials based on the likelihood ratio statistics. Canad. J. Statist., 35, 413-431.
  • Freitag, G., Czado, C., Munk, A. (2007).
    A nonparametric test for similarity of marginals - with applications to the assessment of population bioequivalence. J. Statist. Plann. Inf., 137, 697-711 (Preprint).
  • Mihailescu, P., Mieloch, K., Munk A. (2006).
    Fingerprint classification using entropy sensitive tracing. Progress in Industrial Mathematics at ECMI 2006, 928-934 (Preprint).
  • Holzmann, H., Munk, A. Zucchini, W. (2006).
    On Identifiability in Capture-Recapture Models: Supporting Material--Proofs. Biometrics 62, supporting material. (Preprint).
  • N. Bissantz, B. Mair, A. Munk (2006).
    A multi-scale stopping criterion for MLEM reconstructions in PET. IEEE Nucl. Sci. Symp. Conf. Rec., 6, 3376-3379 (Preprint).
  • Holzmann, H., Munk, A., Gneiting, T. (2006).
    Identifiability of finite mixtures of elliptical distributions. Scand. J. Statist., 33, 753-764 (Preprint).
  • Biedermann, S., Nagel, E., Munk, A., Holzmann, H., Steland, A. (2006).
    Tests in a case-control design including relatives Scand. J. Statist., 33, 621-636 (Preprint).
  • Holzmann, H., Munk, A., Zucchini, W. (2006).
    On identifiability in capture-recapture models. Biometrics, 62, 934-936. (Preprint).
  • Freitag, G., Lange, S., Munk, A. (2006).
    Nonparametric assessment of noninferiority with censored data. Statistics in Medicine, 25, 1201-1217.
  • Holzmann, H., Munk, A., Suster, M., Zucchini, W. (2006).
    Hidden Markov models for circular and linear-circular time series. Environmental and Ecological Statistics (Special Issue on Analyses of Directional Data in Ecological and Environmental Sciences)., 13 (3), 325-347 (Preprint).
  • Freitag, G., Munk, A. (2005).
    Consistency of bootstrap procedures for the nonparametric assessment of noninferiority with random censorship. Technical Report. (Preprint).
  • Mieloch, K., Mihailescu, P., Munk, A. (2005).
    Dynamic threshold using polynomial surface regression with application to the binarisation of fingerprints. Proc. of SPIE, Biometric Technology for Human Identification II, 5779, 94-104 (Preprint).
  • Bissantz, N., Holzmann, H. Munk, A. (2005).
    Testing parametric assumptions on band- or time-limited signals under noise. IEEE Transactions on Information Theory, 51, 3796-3805 (Preprint).
  • Munk, A., Skipka, G., Stratmann, B. (2005).
    Testing general hypotheses under binomial sampling: The two sample case - asymptotic theory and exact procedures. Comp. Stat. Data Analysis, 94/3, 723-739 (Preprint).
  • Munk, A., Bissantz, N., Wagner, T., Freitag, G. (2005).
    On difference based variance estimation in nonparametric regression when the covariate is high dimensional. J. Roy. Statist. Soc. Ser. B, 67, 19-41.
  • Freitag, G., Munk, A. (2005).
    On Hadamard differentiability in k-sample semiparametric models - with applications to the assessment of structural relationships. Journ. Multiv. Analysis, 94, 123-158.
  • Bissantz, N., Hohage, T., Munk, A. (2004).
    Consistency and rates of convergence of nonlinear Tikhonov regularisation with random noise. Inverse Problems, 20, 1773-89.
  • Munk, A., Ruymgaart, F. (2004).
    Discussion of ``Wavelet deconvolution in a periodic setting'' by I.M. Johnstone, G. Kerkyacharian, D. Picard and M. Raimondo. J. Royal Statist. Soc. Ser. B, 66, 642-43.
  • Holzmann, H., Munk, A., Stratmann, B. (2004).
    Identifiability of finite mixtures - with applications to circular distributions. Sankhya, 66, 440-450 (Preprint).
  • Skipka, G., Munk, A., Freitag, G. (2004).
    Unconditional exact tests for the difference of binomial probabilities - contrasted and compared. Comp. Stat. Data Analysis, 47, 757-773.
  • Bissantz, N., Munk, A., Scholz, A. (2003).
    Parametric versus non-parametric modelling? Statistical evidence based on P-value curves. Mon. Not. R. Astron. Soc., 340, 1190-1198.
  • Dette, H., Munk, A. (2003).
    Some methodological aspects of validation of models in nonparametric regression. Statistica Neerlandica, 57, 207-244.
  • Freitag, G., Munk, A., Vogt, M. (2003).
    Assessing structural relationships between distributions - a quantile process approach based on Mallow's distance. In: Recent Advances and Trends in Nonparametric Statistics. Ed.: Akritas, M. G., Politis, D. N., Amsterdam: Elsevier B. V., 123-137.
  • Freitag, G., Munk, A., Hoffmann, K. (2003).
    Vergleich zweier Messmethoden mit einem Goldstandard am Beispiel der 20-MHz-Sonographie und der klinischen Palpation zur Dickenbestimmung von pigmentierten Tumoren der Haut. Ultraschall in der Medizin, 24, 184-189.
  • Bissantz, N., Munk, A. (2002).
    A graphical selection method for parametric models in noisy inhomogeneous regression. Mon. Not. R. Astron. Soc., 336, 131-138.
  • Bissantz, N., Munk, A. (2002).
    New goodness of fit techniques in noisy inhomogeneous regression problems. With an application to the problem of recovering of the luminosity density of the Milky Way from surface brightness data. "Statistical Challenges in Modern Astronomy III" (eds. Feigelson, E.D., Babu, G.J.) Springer, New York..
  • Munk, A., Ruymgaart, F. (2002).
    Minimax rates for estimating the variance and its derivatives in nonparametric regression. Austr. New Zeal. Journ. Statist., 44, 479-488.
  • Derbort, S., Dette, H., Munk, A. (2002).
    Testing the additivity of regression curves. The Annals of the Inst. of Statist. Math., 54, 60-82.
  • Munk, A. (2002).
    Testing the goodness of fit of parametric regression models with random Toeplitz forms. Scand. Journ. Statist., 29 (3), 501-535.
  • Bissantz, N., Munk, A. (2001).
    New statistical goodness of fit techniques in noisy inhomogeneous inverse problems. With application to the recovering of the luminosity distribution of the Milky Way. Astron. & Astroph., 376, 735-744.
  • Bissantz, N., Munk, A. (2001).
    New Statistical Goodness of Fit Techniques Applied to the Recovery of the Milky Way Near-IR Luminosity Density Distribution - the 'Wild Bootstrap' Approach. "Galaxy Disks and Disk Galaxies" (eds. Funes S.J., J.G., Corsini, E.M.) ASP Conf. Ser., 230, 51-52.
  • Munk, A. (2001).
    On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex halfplane. Nonlinear Analysis, 47, 1513-1523.
  • Dette, H., Munk, A., Wagner, T. (2000).
    Testing model assumptions in multivariate regression. Journ. Nonpar. Statist., 12, 309-342.
  • Munk, A. (2000).
    Discussion of „Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests“ by E. del Barrio, J.A. Cuesta-Albertos and C. Matran. Test, 9, 84-88.
  • Munk, A., Brown, L.D., Hwang, J.T.G. (2000).
    The bioequivalence problem – finding a compromise between theory and practice. Biom. Journ., 42, 1-21.
  • Czado, C., Munk, A. (2000).
    Noncanonical links in generalized linear models - when is the effort justified? Journ. Statist. Plann. Infer., 87, 317-345.
  • Munk, A. (2000).
    An unbiased test for the bioequivalence problem – the small sample case. Journ. Statist. Plann. Infer., 87, 69-86.
  • Munk, A. (2000).
    Connections between average and individual bioequivalence. Stat. in Medicine, 19, 2843-2854.
  • Munk, A. (1999).
    Conditional inference for the von Mises distribution with applications to Efron’s parabola model. Metrika, 50, 1-17.
  • Munk, A., Pflüger, R. (1999).
    1-alpha confidence rules are alpha/2 – level tests for convex hypothesis – with applications to the multivariate assessment of bioequivalence. Journ. Amer. Statist. Assoc., 94, 1311-1320.
  • Munk, A. (1999).
    A note on unbiased testing in equivalence assessment – another christmas tree. Statist. & Prob. Letters, 41, 401-406.
  • Munk, A., Dette, H. (1998).
    Nonparametric comparison of several regression functions: exact and asymptotic theory. Ann. Statist., 26, 2339-2369.
  • Dette, H, Munk, A. (1998).
    Validation of linear regression models. The Annals of Statistics, 26, 778-800.
  • Dette, H, Munk, A. (1998).
    A simple goodness of fit test for linear models under a random design assumption. Annals of the Inst. of Statist. Mathem., 50, 253-275.
  • Munk, a., Czado, C. (1998).
    Nonparametric validation of similar distributions and the assessment of goodness to fit. Journ. Roy. Statist. Soc. Ser. B, 60, 223-241.
  • Dette, H., Munk, A. (1998).
    Testing heteroscedasticity in nonparametric regression. Journ. Roy. Statist. Soc. Ser. B, 60, 693-708.
  • Dette, H., Munk, A., Wagner, T. (1998).
    Estimating the variance in nonparametric regression by quadratic forms – what is a reasonable choice? Journ. Roy. Statist. Soc. Ser. B, 60, 751-764.
  • Czado, C., Munk, A. (1998).
    Assessing the similarity of distributions – finite sample performance of the empirical Mallows distance. Journ. Computat. Simulat., 60, 319-346.
  • Munk, A. (1998).
    Cebysev experiments. Statistics, 31, 289-324.
  • Dette, H., Munk, A., Wagner, T. (1998).
    A review of variance estimators with extensions to multivariate nonparametric regression models. Multivariate Design and Sampling (ed. S. Gosh), Dekker, NY., 469-499.
  • Brown, L.D., Hwang, J.T.G., Munk, A. (1998).
    An unbiased test for the bioequivalence problem. The Annals of Statistics, 25, 2345-67.
  • Dette, H., Munk, A. (1997).
    Optimal allocations of treatments in equivalence assessment. Biometrics, 53, 1143-1150.
  • Brunner, E., Dette, H., Munk, A. (1997).
    Box-type approximations in heteroskedastic factorial designs. Journ. Americ. Statist. Assoc., 92, 1494-1503.
  • Nida-Rümelin, J., Schmidt, T., Munk, A. (1996).
    Iteration of independent decisions. Theory and Decision, 41, 257-280.
  • Munk, A. (1996).
    Equivalence and interval testing for Lehmann’s alternative. Journ. Americ. Stat. Assoc., 91, 1187-1197.
  • Dette, H., Munk, A. (1995).
    Sign regularity of a generalized Cauchy-kernel with applications. Journ. Statist. Plann. Inf., 52, 131-142.
  • Danneberg, O., Dette, H., Munk, A. (1994).
    An extension of Welch’s approximative t-solution to comparative bioequivalence trials. Biometrika, 81, 91-101.
  • Munk, A. (1994).
    On a method of combining double t-test and Anderson-Hauck test. Reader reaction response. Biometrics, 50, 885-886.
  • Munk, A. (1993).
    An improvement on commonly used tests in bioequivalence assessment. Biometrics, 49, 1225-31.