Edit Profile Munk, Axel Compute Distance To: Compute Author ID: munk.axel Published as: Munk, Axel; Munk, A. Homepage: http://www.stochastik.math.uni-goettingen.de/munk External Links: MGP · ORCID · dblp · GND Documents Indexed: 104 Publications since 1993 all top 5 Co-Authors 8 single-authored 14 Dette, Holger 6 Holzmann, Hajo 5 Bissantz, Nicolai 5 Czado, Claudia 5 Freitag, Gudrun 5 Sieling, Hannes 5 Werner, Frank 4 Frick, Klaus 4 Hohage, Thorsten 4 Huckemann, Stephan F. 4 Krivobokova, Tatyana 4 Li, Housen 4 Marnitz, Philipp 4 Schmidt-Hieber, Johannes 4 Sommerfeld, Max 4 Wagner, Thorsten 3 Boysen, Leif 3 Dümbgen, Lutz 3 Kabluchko, Zakhar A. 3 Ruymgaart, Frits H. 3 Skipka, Guido 3 Stratmann, Bernd O. 2 Behr, Merle 2 Brown, Lawrence David 2 Bühlmann, Peter 2 Cai, Tony Tony 2 Egner, Alexander 2 Enikeeva, Farida N. 2 Geisler, Claudia 2 Hotz, Thomas 2 Hwang, J. T. Gene 2 Laitenberger, Oskar 2 Liebscher, Volkmar 2 Mielke, Matthias 2 Singer, Marco 2 Staudt, Thomas 2 Wittich, Olaf 2 Yu, Bin 1 Aspelmeier, Timo 1 Balabdaoui, Fadoua 1 Bauer, Ulrich 1 Berger, James Orvis 1 Biedermann, Stefanie 1 Bissantz, Nicolas 1 Brunner, Edgar 1 Bruns, Sophie 1 Claeskens, Gerda 1 Dannemann, Jörn 1 Dannenberg, Olaf 1 Davies, Patrick Laurie 1 de Groot, Bert 1 Derbort, Stephan 1 Diehn, Manuel 1 Einmahl, John H. J. 1 Frick, Sophie Hanna Clara 1 Giese, Götz 1 Gneiting, Tilmann 1 Grasmair, Markus 1 Greb, Friederike 1 Guo, Qinghai 1 Haltmeier, Markus 1 Hartmann, Alexander K. 1 Hoffmann, Marc R. 1 Holmes, Christopher C. 1 Igl, Bernd-Wolfgang 1 Kempe, Angela 1 Kim, Kwang-Rae 1 Kim, Peter T. 1 König, Claudia Juliane 1 Koo, Ja-Yong 1 Low, Mark G. 1 Lugosi, Gábor 1 Mieloch, Krzysztof 1 Mihăilescu, Preda 1 Nagel, Eva-Renate 1 Neumeyer, Natalie 1 Nida-Rümelin, Julian 1 Paige, Robert L. 1 Patrangenaru, Victor 1 Pein, Florian 1 Pflüger, Rafael 1 Pohlmann, Markus 1 Proksch, Katharina 1 Rehfeldt, Florian 1 Rippl, Thomas 1 Rudolf, Daniel 1 Schmidt, Thomas Lundsgaard 1 Schneider, Laura Fee 1 Scholz, Achim 1 Schrieber, Jörn 1 Steland, Ansgar 1 Stichtenoth, Rahel 1 Stockis, Jean-Pierre 1 Sturm, Anja K. 1 Tameling, Carla 1 Tecuapetla-Gómez, Inder 1 Trampisch, Hans J. 1 Tsybakov, Alexandre B. 1 Valeinis, Janis 1 von Cramon-Taubadel, Stephan ...and 6 more Co-Authors all top 5 Serials 9 The Annals of Statistics 9 Journal of the Royal Statistical Society. Series B. Statistical Methodology 7 Electronic Journal of Statistics 5 Scandinavian Journal of Statistics 4 Journal of Multivariate Analysis 4 Journal of Statistical Planning and Inference 4 Oberwolfach Reports 3 Annals of the Institute of Statistical Mathematics 3 Biometrika 3 Journal of the American Statistical Association 3 Computational Statistics and Data Analysis 3 Statistica Sinica 3 Bernoulli 2 IEEE Transactions on Information Theory 2 Inverse Problems 2 Biometrical Journal 2 Biometrics 2 SIAM Journal on Numerical Analysis 2 Statistica Neerlandica 2 Journal of Statistical Computation and Simulation 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Journal of Machine Learning Research (JMLR) 1 The Canadian Journal of Statistics 1 Metrika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Theory and Decision 1 Statistics & Probability Letters 1 Statistics & Decisions 1 Statistics 1 Statistical Science 1 The Annals of Applied Probability 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Test 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Electronic Communications in Probability 1 Journal of Nonparametric Statistics 1 Australian & New Zealand Journal of Statistics 1 Foundations of Computational Mathematics 1 Sankhyā 1 Bayesian Analysis all top 5 Fields 96 Statistics (62-XX) 18 Probability theory and stochastic processes (60-XX) 12 Numerical analysis (65-XX) 8 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 4 Operator theory (47-XX) 3 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 941 times in 667 Documents Cited by ▼ Year ▼ Convergence rates of general regularization methods for statistical inverse problems and applications. Zbl 1234.62062Bissantz, N.; Hohage, T.; Munk, A.; Ruymgaart, F. 74 2007 Testing heteroscedasticity in nonparametric regression. Zbl 0909.62035Dette, Holger; Munk, Axel 58 1998 Estimating the variance in nonparametric regression – what is a reasonable choice? Zbl 0944.62041Dette, Holger; Munk, Axel; Wagner, Thorsten 57 1998 Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions. Zbl 1180.62087Huckemann, Stephan; Hotz, Thomas; Munk, Axel 48 2010 Box-type approximations in nonparametric factorial designs. Zbl 0921.62096Brunner, Edgar; Dette, Holger; Munk, Axel 46 1997 On difference-based variance estimation in nonparametric regression when the covariate is high dimensional. Zbl 1060.62047Munk, Axel; Bissantz, Nicolai; Wagner, Thorsten; Freitag, Gudrun 37 2005 Consistencies and rates of convergence of jump-penalized least squares estimators. Zbl 1155.62034Boysen, Leif; Kempe, Angela; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf 36 2009 Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise. Zbl 1077.65060Bissantz, Nicolai; Hohage, Thorsten; Munk, Axel 34 2004 Validation of linear regression models. Zbl 0930.62041Dette, Holger; Munk, Axel 34 1998 Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065Frick, Klaus; Munk, Axel; Sieling, Hannes 33 2014 Nonparametric comparison of several regression functions: Exact and asymptotic theory. Zbl 0927.62040Munk, Axel; Dette, Holger 32 1998 Identifiability of finite mixtures of elliptical distributions. Zbl 1164.62354Holzmann, Hajo; Munk, Axel; Gneiting, Tilmann 30 2006 Nonparametric validation of similar distributions and assessment of goodness of fit. Zbl 0909.62047Munk, Axel; Czado, Claudia 24 1998 Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise. Zbl 1197.65060Bauer, Frank; Hohage, Thorsten; Munk, Axel 19 2009 Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features. Zbl 1293.62104Schmidt-Hieber, Johannes; Munk, Axel; Dümbgen, Lutz 18 2013 Testing for lack of fit in inverse regression-with applications to biophotonic imaging. Zbl 1231.62060Bissantz, Nicolai; Claeskens, Gerda; Holzmann, Hajo; Munk, Axel 16 2009 Density testing in a contaminated sample. Zbl 1102.62045Holzmann, Hajo; Bissantz, Nicolai; Munk, Axel 16 2007 An unbiased test for the bioequivalence problem. Zbl 0905.62107Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel 15 1997 Statistical multiresolution Dantzig estimation in imaging: fundamental concepts and algorithmic framework. Zbl 1314.62094Frick, Klaus; Marnitz, Philipp; Munk, Axel 15 2012 Limit laws of the empirical Wasserstein distance: Gaussian distributions. Zbl 1351.62064Rippl, Thomas; Munk, Axel; Sturm, Anja 14 2016 The one- and multi-sample problem for functional data with application to projective shape analysis. Zbl 1286.62050Munk, A.; Paige, R.; Pang, J.; Patrangenaru, V.; Ruymgaart, F. 13 2008 Inference for empirical Wasserstein distances on finite spaces. Zbl 1380.62121Sommerfeld, Max; Munk, Axel 12 2018 FDR-control in multiscale change-point segmentation. Zbl 1338.62117Li, Housen; Munk, Axel; Sieling, Hannes 11 2016 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 10 2012 Some methodological aspects of validation of models in nonparametric regression. Zbl 1090.62531Dette, Holger; Munk, Axel 10 2003 Identifiability of finite mixtures – with applications to circular distributions. Zbl 1192.62144Holzmann, Hajo; Munk, Axel; Stratmann, Bernd 9 2004 Möbius deconvolution on the hyperbolic plane with application to impedance density estimation. Zbl 1203.62055Huckemann, Stephan F.; Kim, Peter T.; Koo, Ja-Yong; Munk, Axel 9 2010 A test for additivity in nonparametric regression. Zbl 0991.62023Derbort, Stephan; Dette, Holger; Munk, Axel 9 2002 On Hadamard differentiability in \(k\)-sample semiparametric models – with applications to the assessment of structural relationships. Zbl 1065.62080Freitag, Gudrun; Munk, Axel 9 2005 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063Kabluchko, Zakhar; Munk, Axel 8 2008 Testing general hypotheses under binomial sampling: the two sample case-asymptotic theory and exact procedures. Zbl 1429.62575Munk, A.; Skipka, G.; Stratmann, B. 8 2005 Heterogeneous change point inference. Zbl 1373.62258Pein, Florian; Sieling, Hannes; Munk, Axel 8 2017 Statistical multiresolution estimation for variational imaging: with an application in Poisson-biophotonics. Zbl 1312.68222Frick, Klaus; Marnitz, Philipp; Munk, Axel 7 2013 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014Kabluchko, Zakhar; Munk, Axel 7 2009 A nonparametric test for similarity of marginals – with applications to the assessment of population bioequivalence. Zbl 1111.62042Freitag, Gudrun; Czado, Claudia; Munk, Axel 7 2007 The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina 6 2016 Unconditional exact tests for the difference of binomial probabilities-contrasted and compared. Zbl 1429.62074Skipka, G.; Munk, A.; Freitag, G. 6 2004 Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise. Zbl 1329.62366Munk, Axel; Schmidt-Hieber, Johannes 6 2010 Optimal regularization for ill-posed problems in metric spaces. Zbl 1132.65046Bauer, F.; Munk, A. 5 2007 Assessing the similarity of distributions – finite sample performance of the empirical Mallows distance. Zbl 1060.62503Czado, Claudia; Munk, Axel 5 1998 A simple goodness-of-fit test for linear models under a random design assumption. Zbl 0903.62039Dette, Holger; Munk, Axel 5 1998 Noncanonical links in generalized linear models – when is the effort justified? Zbl 0969.62048Czado, Claudia; Munk, Axel 5 2000 Multiscale scanning in inverse problems. Zbl 1410.62064Proksch, Katharina; Werner, Frank; Munk, Axel 5 2018 Scale space consistency of piecewise constant least squares estimators – another look at the regressogram. Zbl 1176.62033Boysen, Leif; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf 5 2007 Testing the goodness of fit of parametric regression models with random Toeplitz forms. Zbl 1035.62063Munk, Axel 5 2002 Neyman smooth goodness-of-fit tests for the marginal distribution of dependent data. Zbl 1441.62224Munk, Axel; Stockis, Jean-Pierre; Valeinis, Janis; Giese, Götz 5 2011 Adaptive wavelet estimation of the diffusion coefficient under additive error measurements. Zbl 1282.62078Hoffmann, M.; Munk, A.; Schmidt-Hieber, J. 5 2012 \(1-\alpha\) equivariant confidence rules for convex alternatives are \(\alpha/2\)-level tests – with applications to the multivariate assessment of bioequivalence. Zbl 1072.62586Munk, Axel; Pflüger, Rafael 5 1999 A note on unbiased testing for the equivalence problem – another Christmas tree. Zbl 0932.62116Munk, Axel 4 1999 Shape-constrained regularization by statistical multiresolution for inverse problems: asymptotic analysis. Zbl 1250.47009Frick, Klaus; Marnitz, Philipp; Munk, Axel 4 2012 Equivalence and interval testing for Lehmann’s alternative. Zbl 0880.62051Munk, Axel 4 1996 A review of variance estimators with extensions to multivariate nonparametric regression models. Zbl 0946.62056Dette, Holger; Munk, Axel; Wagner, Thorsten 4 1999 Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces. Zbl 1175.62036Bissantz, Nicolai; Dümbgen, Lutz; Munk, Axel; Stratmann, Bernd 4 2009 Bump detection in heterogeneous Gaussian regression. Zbl 1419.62098Enikeeva, Farida; Munk, Axel; Werner, Frank 4 2018 Non-parametric analysis of covariance – the case of inhomogeneous and heteroscedastic noise. Zbl 1150.62022Munk, Axel; Neumeyer, Natalie; Scholz, Achim 4 2007 An extension of Welch’s approximate \(t\)-solution to comparative bioequivalence trials. Zbl 0800.62707Dannenberg, Olaf; Dette, Holger; Munk, Axel 3 1994 An improvement on commonly used tests in bioequivalence assessment. Zbl 0825.62752Munk, Axel 3 1993 Testing model assumptions in multivariate linear regression models. Zbl 1033.62037Dette, Holger; Munk, Axel; Wagner, Thorsten 3 2000 Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D. 3 2000 Identifiability for blind source separation of multiple finite alphabet linear mixtures. Zbl 1374.94040Behr, Merle; Munk, Axel 3 2017 Minimax rates for estimating the variance and its derivatives in non-parametric regression. Zbl 1073.62038Munk, Axel; Ruymgaart, Frits 3 2002 Multiscale change-point segmentation: beyond step functions. Zbl 1429.62145Li, Housen; Guo, Qinghai; Munk, Axel 2 2019 Drift estimation in sparse sequential dynamic imaging, with application to nanoscale fluorescence microscopy. Zbl 1414.62293Hartmann, Alexander; Huckemann, Stephan; Dannemann, Jörn; Laitenberger, Oskar; Geisler, Claudia; Egner, Alexander; Munk, Axel 2 2016 Optimum allocation of treatments for Welch’s test in equivalence assessment. Zbl 0897.62118Dette, Holger; Munk, Axel 2 1997 An unbiased test for the average equivalence problem – the small sample case. Zbl 0976.62012Munk, Axel 2 2000 Sign regularity of a generalized Cauchy kernel with applications. Zbl 0848.62006Dette, Holger; Munk, Axel 2 1996 Variational multiscale nonparametric regression: smooth functions. Zbl 1393.62014Grasmair, Markus; Li, Housen; Munk, Axel 2 2018 Kernel partial least squares for stationary data. Zbl 1442.62088Singer, Marco; Krivobokova, Tatyana; Munk, Axel 2 2017 Multiscale blind source separation. Zbl 1395.62084Behr, Merle; Holmes, Chris; Munk, Axel 2 2018 Testing parametric assumptions on band- or time-limited signals under noise. Zbl 1282.94011Bissantz, Nicolas; Holzmann, Hajo; Munk, Axel 2 2005 On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex half plane. Zbl 1042.62621Munk, Axel 2 2001 Jump estimation in inverse regression. Zbl 1326.62074Boysen, Leif; Bruns, Sophie; Munk, Axel 2 2009 Testing noninferiority in three-armed clinical trials based on likelihood ratio statistics. Zbl 1132.62092Munk, Axel; Mielke, Matthias; Skipka, Guido; Freitag, Gudrun 2 2007 Autocovariance estimation in regression with a discontinuous signal and \(m\)-dependent errors: a difference-based approach. Zbl 1422.62154Tecuapetla-Gómez, Inder; Munk, Axel 2 2017 Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding. Zbl 1290.42064Haltmeier, Markus; Munk, Axel 2 2014 Tests in a case-control design including relatives. Zbl 1164.62433Biedermann, Stefanie; Nagel, Eva; Munk, Axel; Holzmann, Hajo; Steland, Ansgar 1 2006 Persistence barcodes versus Kolmogorov signatures: detecting modes of one-dimensional signals. Zbl 1367.62086Bauer, Ulrich; Munk, Axel; Sieling, Hannes; Wardetzky, Max 1 2017 The likelihood ratio test for non-standard hypotheses near the boundary of the null – with application to the assessment of non-inferiority. Zbl 1178.62061Balabdaoui, Fadoua; Mielke, Matthias; Munk, Axel 1 2009 Regularized Bayesian estimation of generalized threshold regression models. Zbl 1327.62394Greb, Friederike; Krivobokova, Tatyana; Munk, Axel; von Cramon-Taubadel, Stephan 1 2014 Optimal inference for circular variation diminishing experiments with applications to the von-Mises distribution and the Fisher-Efron parabola model. Zbl 1093.62542Munk, Axel 1 1999 Bootstrap methods for the nonparametric assessment of population bioequivalence and similarity of distributions. Zbl 1111.62040Czado, Claudia; Munk, Axel 1 2001 Multiscale change-point segmentation: beyond step functions. Zbl 1429.62145Li, Housen; Guo, Qinghai; Munk, Axel 2 2019 Inference for empirical Wasserstein distances on finite spaces. Zbl 1380.62121Sommerfeld, Max; Munk, Axel 12 2018 Multiscale scanning in inverse problems. Zbl 1410.62064Proksch, Katharina; Werner, Frank; Munk, Axel 5 2018 Bump detection in heterogeneous Gaussian regression. Zbl 1419.62098Enikeeva, Farida; Munk, Axel; Werner, Frank 4 2018 Variational multiscale nonparametric regression: smooth functions. Zbl 1393.62014Grasmair, Markus; Li, Housen; Munk, Axel 2 2018 Multiscale blind source separation. Zbl 1395.62084Behr, Merle; Holmes, Chris; Munk, Axel 2 2018 Heterogeneous change point inference. Zbl 1373.62258Pein, Florian; Sieling, Hannes; Munk, Axel 8 2017 Identifiability for blind source separation of multiple finite alphabet linear mixtures. Zbl 1374.94040Behr, Merle; Munk, Axel 3 2017 Kernel partial least squares for stationary data. Zbl 1442.62088Singer, Marco; Krivobokova, Tatyana; Munk, Axel 2 2017 Autocovariance estimation in regression with a discontinuous signal and \(m\)-dependent errors: a difference-based approach. Zbl 1422.62154Tecuapetla-Gómez, Inder; Munk, Axel 2 2017 Persistence barcodes versus Kolmogorov signatures: detecting modes of one-dimensional signals. Zbl 1367.62086Bauer, Ulrich; Munk, Axel; Sieling, Hannes; Wardetzky, Max 1 2017 Limit laws of the empirical Wasserstein distance: Gaussian distributions. Zbl 1351.62064Rippl, Thomas; Munk, Axel; Sturm, Anja 14 2016 FDR-control in multiscale change-point segmentation. Zbl 1338.62117Li, Housen; Munk, Axel; Sieling, Hannes 11 2016 The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina 6 2016 Drift estimation in sparse sequential dynamic imaging, with application to nanoscale fluorescence microscopy. Zbl 1414.62293Hartmann, Alexander; Huckemann, Stephan; Dannemann, Jörn; Laitenberger, Oskar; Geisler, Claudia; Egner, Alexander; Munk, Axel 2 2016 Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065Frick, Klaus; Munk, Axel; Sieling, Hannes 33 2014 Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding. Zbl 1290.42064Haltmeier, Markus; Munk, Axel 2 2014 Regularized Bayesian estimation of generalized threshold regression models. Zbl 1327.62394Greb, Friederike; Krivobokova, Tatyana; Munk, Axel; von Cramon-Taubadel, Stephan 1 2014 Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features. Zbl 1293.62104Schmidt-Hieber, Johannes; Munk, Axel; Dümbgen, Lutz 18 2013 Statistical multiresolution estimation for variational imaging: with an application in Poisson-biophotonics. Zbl 1312.68222Frick, Klaus; Marnitz, Philipp; Munk, Axel 7 2013 Statistical multiresolution Dantzig estimation in imaging: fundamental concepts and algorithmic framework. Zbl 1314.62094Frick, Klaus; Marnitz, Philipp; Munk, Axel 15 2012 Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel 10 2012 Adaptive wavelet estimation of the diffusion coefficient under additive error measurements. Zbl 1282.62078Hoffmann, M.; Munk, A.; Schmidt-Hieber, J. 5 2012 Shape-constrained regularization by statistical multiresolution for inverse problems: asymptotic analysis. Zbl 1250.47009Frick, Klaus; Marnitz, Philipp; Munk, Axel 4 2012 Neyman smooth goodness-of-fit tests for the marginal distribution of dependent data. Zbl 1441.62224Munk, Axel; Stockis, Jean-Pierre; Valeinis, Janis; Giese, Götz 5 2011 Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions. Zbl 1180.62087Huckemann, Stephan; Hotz, Thomas; Munk, Axel 48 2010 Möbius deconvolution on the hyperbolic plane with application to impedance density estimation. Zbl 1203.62055Huckemann, Stephan F.; Kim, Peter T.; Koo, Ja-Yong; Munk, Axel 9 2010 Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise. Zbl 1329.62366Munk, Axel; Schmidt-Hieber, Johannes 6 2010 Consistencies and rates of convergence of jump-penalized least squares estimators. Zbl 1155.62034Boysen, Leif; Kempe, Angela; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf 36 2009 Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise. Zbl 1197.65060Bauer, Frank; Hohage, Thorsten; Munk, Axel 19 2009 Testing for lack of fit in inverse regression-with applications to biophotonic imaging. Zbl 1231.62060Bissantz, Nicolai; Claeskens, Gerda; Holzmann, Hajo; Munk, Axel 16 2009 Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014Kabluchko, Zakhar; Munk, Axel 7 2009 Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces. Zbl 1175.62036Bissantz, Nicolai; Dümbgen, Lutz; Munk, Axel; Stratmann, Bernd 4 2009 Jump estimation in inverse regression. Zbl 1326.62074Boysen, Leif; Bruns, Sophie; Munk, Axel 2 2009 The likelihood ratio test for non-standard hypotheses near the boundary of the null – with application to the assessment of non-inferiority. Zbl 1178.62061Balabdaoui, Fadoua; Mielke, Matthias; Munk, Axel 1 2009 The one- and multi-sample problem for functional data with application to projective shape analysis. Zbl 1286.62050Munk, A.; Paige, R.; Pang, J.; Patrangenaru, V.; Ruymgaart, F. 13 2008 Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063Kabluchko, Zakhar; Munk, Axel 8 2008 Convergence rates of general regularization methods for statistical inverse problems and applications. Zbl 1234.62062Bissantz, N.; Hohage, T.; Munk, A.; Ruymgaart, F. 74 2007 Density testing in a contaminated sample. Zbl 1102.62045Holzmann, Hajo; Bissantz, Nicolai; Munk, Axel 16 2007 A nonparametric test for similarity of marginals – with applications to the assessment of population bioequivalence. Zbl 1111.62042Freitag, Gudrun; Czado, Claudia; Munk, Axel 7 2007 Optimal regularization for ill-posed problems in metric spaces. Zbl 1132.65046Bauer, F.; Munk, A. 5 2007 Scale space consistency of piecewise constant least squares estimators – another look at the regressogram. Zbl 1176.62033Boysen, Leif; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf 5 2007 Non-parametric analysis of covariance – the case of inhomogeneous and heteroscedastic noise. Zbl 1150.62022Munk, Axel; Neumeyer, Natalie; Scholz, Achim 4 2007 Testing noninferiority in three-armed clinical trials based on likelihood ratio statistics. Zbl 1132.62092Munk, Axel; Mielke, Matthias; Skipka, Guido; Freitag, Gudrun 2 2007 Identifiability of finite mixtures of elliptical distributions. Zbl 1164.62354Holzmann, Hajo; Munk, Axel; Gneiting, Tilmann 30 2006 Tests in a case-control design including relatives. Zbl 1164.62433Biedermann, Stefanie; Nagel, Eva; Munk, Axel; Holzmann, Hajo; Steland, Ansgar 1 2006 On difference-based variance estimation in nonparametric regression when the covariate is high dimensional. Zbl 1060.62047Munk, Axel; Bissantz, Nicolai; Wagner, Thorsten; Freitag, Gudrun 37 2005 On Hadamard differentiability in \(k\)-sample semiparametric models – with applications to the assessment of structural relationships. Zbl 1065.62080Freitag, Gudrun; Munk, Axel 9 2005 Testing general hypotheses under binomial sampling: the two sample case-asymptotic theory and exact procedures. Zbl 1429.62575Munk, A.; Skipka, G.; Stratmann, B. 8 2005 Testing parametric assumptions on band- or time-limited signals under noise. Zbl 1282.94011Bissantz, Nicolas; Holzmann, Hajo; Munk, Axel 2 2005 Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise. Zbl 1077.65060Bissantz, Nicolai; Hohage, Thorsten; Munk, Axel 34 2004 Identifiability of finite mixtures – with applications to circular distributions. Zbl 1192.62144Holzmann, Hajo; Munk, Axel; Stratmann, Bernd 9 2004 Unconditional exact tests for the difference of binomial probabilities-contrasted and compared. Zbl 1429.62074Skipka, G.; Munk, A.; Freitag, G. 6 2004 Some methodological aspects of validation of models in nonparametric regression. Zbl 1090.62531Dette, Holger; Munk, Axel 10 2003 A test for additivity in nonparametric regression. Zbl 0991.62023Derbort, Stephan; Dette, Holger; Munk, Axel 9 2002 Testing the goodness of fit of parametric regression models with random Toeplitz forms. Zbl 1035.62063Munk, Axel 5 2002 Minimax rates for estimating the variance and its derivatives in non-parametric regression. Zbl 1073.62038Munk, Axel; Ruymgaart, Frits 3 2002 On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex half plane. Zbl 1042.62621Munk, Axel 2 2001 Bootstrap methods for the nonparametric assessment of population bioequivalence and similarity of distributions. Zbl 1111.62040Czado, Claudia; Munk, Axel 1 2001 Noncanonical links in generalized linear models – when is the effort justified? Zbl 0969.62048Czado, Claudia; Munk, Axel 5 2000 Testing model assumptions in multivariate linear regression models. Zbl 1033.62037Dette, Holger; Munk, Axel; Wagner, Thorsten 3 2000 Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D. 3 2000 An unbiased test for the average equivalence problem – the small sample case. Zbl 0976.62012Munk, Axel 2 2000 \(1-\alpha\) equivariant confidence rules for convex alternatives are \(\alpha/2\)-level tests – with applications to the multivariate assessment of bioequivalence. Zbl 1072.62586Munk, Axel; Pflüger, Rafael 5 1999 A note on unbiased testing for the equivalence problem – another Christmas tree. Zbl 0932.62116Munk, Axel 4 1999 A review of variance estimators with extensions to multivariate nonparametric regression models. Zbl 0946.62056Dette, Holger; Munk, Axel; Wagner, Thorsten 4 1999 Optimal inference for circular variation diminishing experiments with applications to the von-Mises distribution and the Fisher-Efron parabola model. Zbl 1093.62542Munk, Axel 1 1999 Testing heteroscedasticity in nonparametric regression. Zbl 0909.62035Dette, Holger; Munk, Axel 58 1998 Estimating the variance in nonparametric regression – what is a reasonable choice? Zbl 0944.62041Dette, Holger; Munk, Axel; Wagner, Thorsten 57 1998 Validation of linear regression models. Zbl 0930.62041Dette, Holger; Munk, Axel 34 1998 Nonparametric comparison of several regression functions: Exact and asymptotic theory. Zbl 0927.62040Munk, Axel; Dette, Holger 32 1998 Nonparametric validation of similar distributions and assessment of goodness of fit. Zbl 0909.62047Munk, Axel; Czado, Claudia 24 1998 Assessing the similarity of distributions – finite sample performance of the empirical Mallows distance. Zbl 1060.62503Czado, Claudia; Munk, Axel 5 1998 A simple goodness-of-fit test for linear models under a random design assumption. Zbl 0903.62039Dette, Holger; Munk, Axel 5 1998 Box-type approximations in nonparametric factorial designs. Zbl 0921.62096Brunner, Edgar; Dette, Holger; Munk, Axel 46 1997 An unbiased test for the bioequivalence problem. Zbl 0905.62107Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel 15 1997 Optimum allocation of treatments for Welch’s test in equivalence assessment. Zbl 0897.62118Dette, Holger; Munk, Axel 2 1997 Equivalence and interval testing for Lehmann’s alternative. Zbl 0880.62051Munk, Axel 4 1996 Sign regularity of a generalized Cauchy kernel with applications. Zbl 0848.62006Dette, Holger; Munk, Axel 2 1996 An extension of Welch’s approximate \(t\)-solution to comparative bioequivalence trials. Zbl 0800.62707Dannenberg, Olaf; Dette, Holger; Munk, Axel 3 1994 An improvement on commonly used tests in bioequivalence assessment. Zbl 0825.62752Munk, Axel 3 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,029 Authors 48 Munk, Axel 34 Dette, Holger 15 Bissantz, Nicolai 12 Huckemann, Stephan F. 10 Brunner, Edgar 10 Loubes, Jean-Michel 9 Holzmann, Hajo 9 Marteau, Clément 9 Neumeyer, Natalie 8 Harrar, Solomon W. 6 Bathke, Arne C. 6 Czado, Claudia 6 del Barrio, Eustasio 6 Konietschke, Frank 6 Patrangenaru, Victor 6 Proksch, Katharina 6 Reiß, Markus 6 Sapatinas, Theofanis 6 Schmidt-Hieber, Johannes 6 Tong, Tiejun 6 Weinmann, Andreas 6 You, Jinhong 6 Zhu, Lixing 5 Brown, Lawrence David 5 Cuesta-Albertos, Juan Antonio 5 Dahmani, Abdelnasser 5 Kato, Kengo 5 Li, Pengfei 5 Marron, James Stephen 5 Mathé, Peter 5 Matrán, Carlos 5 Pommeret, Denys 5 Song, Weixing 5 Storath, Martin 4 Bhattacharya, Rabi N. 4 Blanchard, Gilles 4 Cai, Tony Tony 4 Davies, Patrick Laurie 4 Eltzner, Benjamin 4 Freitag, Gudrun 4 González-Manteiga, Wenceslao 4 Hall, Peter Gavin 4 Hintermüller, Michael 4 Hoffmann, Marc R. 4 Hohage, Thorsten 4 Li, Housen 4 McNicholas, Paul D. 4 Pauly, Markus 4 Puri, Madan Lal 4 Van Keilegom, Ingrid 4 Wang, Lie 4 Wang, Zhaojun 4 Werner, Frank 4 Zou, Changliang 3 Akritas, Michael G. 3 Álvarez-Esteban, Pedro César 3 Bigot, Jéremie 3 Boente, Graciela 3 Bouhmila, Fatah 3 Browne, Ryan P. 3 Burger, Martin 3 Butucea, Cristina 3 Chen, Xiaohong 3 Chown, Justin 3 Claeskens, Gerda 3 Dai, Wenlin 3 Demaret, Laurent 3 Dryden, Ian L. 3 El Ghouch, Anouar 3 Fearnhead, Paul 3 Florens, Jean-Pierre 3 Frick, Klaus 3 Fryzlewicz, Piotr 3 Gao, Chao 3 Hothorn, Ludwig A. 3 Hotz, Thomas 3 Ip, Wai-Cheung 3 Kabluchko, Zakhar A. 3 Kim, Kwang-Rae 3 Kim, Peter T. 3 Kong, Xiaoli 3 Koo, Ja-Yong 3 Laurent, Béatrice 3 Liebscher, Volkmar 3 Lin, Jinguan 3 Lin, Lu 3 Lloyd, Chris J. 3 Marchlewski, Mareen 3 Marnitz, Philipp 3 Messer, Michael 3 Munzel, Ullrich 3 Nickl, Richard 3 Panaretos, Victor M. 3 Pardo-Fernández, Juan Carlos 3 Pennec, Xavier 3 Rautenberg, Carlos N. 3 Rinaldo, Alessandro 3 Ruiz, Marcelo 3 Ruymgaart, Frits H. 3 Samworth, Richard J. ...and 929 more Authors all top 5 Cited in 134 Serials 55 The Annals of Statistics 43 Journal of Multivariate Analysis 42 Journal of Statistical Planning and Inference 39 Computational Statistics and Data Analysis 38 Electronic Journal of Statistics 23 Journal of Nonparametric Statistics 17 Bernoulli 16 Statistics & Probability Letters 15 Annals of the Institute of Statistical Mathematics 15 Communications in Statistics. Theory and Methods 15 Test 14 Scandinavian Journal of Statistics 14 Journal of Econometrics 11 Journal of Mathematical Imaging and Vision 9 Metrika 9 Statistics 9 Computational Statistics 9 Journal of Statistical Computation and Simulation 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 The Annals of Applied Statistics 8 Inverse Problems 8 Statistical Science 8 Mathematical Methods of Statistics 7 The Canadian Journal of Statistics 7 Statistical Papers 7 Journal of the Royal Statistical Society. Series B. Statistical Methodology 6 Biometrical Journal 6 Journal of the American Statistical Association 6 Journal of Applied Statistics 5 SIAM Journal on Numerical Analysis 5 Communications in Statistics. Simulation and Computation 5 Sankhyā. Series A 5 Statistics and Computing 4 Science in China. Series A 4 Journal of Inverse and Ill-Posed Problems 4 Econometric Theory 4 Inverse Problems in Science and Engineering 4 SIAM Journal on Imaging Sciences 4 SIAM/ASA Journal on Uncertainty Quantification 3 Numerische Mathematik 3 Stochastic Processes and their Applications 3 SIAM Journal on Scientific Computing 3 International Journal of Computer Vision 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Australian & New Zealand Journal of Statistics 3 Extremes 3 Journal of Systems Science and Complexity 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Statistical Methodology 3 Inverse Problems and Imaging 3 Journal of Statistical Theory and Practice 2 Journal of Mathematical Analysis and Applications 2 Biometrics 2 British Journal of Mathematical & Statistical Psychology 2 Journal of Approximation Theory 2 Journal of Functional Analysis 2 Journal of Classification 2 Machine Learning 2 Journal of Biopharmaceutical Statistics 2 Applied Mathematics. Series B (English Edition) 2 Statistica Sinica 2 Advances in Computational Mathematics 2 Statistical Inference for Stochastic Processes 2 Foundations of Computational Mathematics 2 Journal of Applied Mathematics 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Acta Numerica 2 Oberwolfach Reports 2 Journal of the Korean Statistical Society 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Psychometrika 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Statistica Neerlandica 1 Journal of the Japan Statistical Society 1 Operations Research Letters 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 ACM Transactions on Graphics 1 Probability Theory and Related Fields 1 Journal of Complexity 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 The Annals of Applied Probability 1 Computational Mathematics and Mathematical Physics 1 Pattern Recognition 1 SIAM Journal on Optimization ...and 34 more Serials all top 5 Cited in 39 Fields 580 Statistics (62-XX) 146 Numerical analysis (65-XX) 100 Probability theory and stochastic processes (60-XX) 29 Information and communication theory, circuits (94-XX) 24 Computer science (68-XX) 23 Operator theory (47-XX) 19 Operations research, mathematical programming (90-XX) 19 Biology and other natural sciences (92-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Differential geometry (53-XX) 13 Partial differential equations (35-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 5 Astronomy and astrophysics (85-XX) 4 Approximations and expansions (41-XX) 4 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year