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## Munk, Axel

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 Author ID: munk.axel Published as: Munk, A.; Munk, Axel 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 Bissantz, Nicolai 6 Holzmann, Hajo 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, Fabian 1 Bauer, Frank 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 Pang, Jinli 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. ...and 9 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)

#### Citations contained in zbMATH Open

83 Publications have been cited 938 times in 662 Documents Cited by Year
Convergence rates of general regularization methods for statistical inverse problems and applications. Zbl 1234.62062
Bissantz, N.; Hohage, T.; Munk, A.; Ruymgaart, F.
2007
Testing heteroscedasticity in nonparametric regression. Zbl 0909.62035
Dette, Holger; Munk, Axel
1998
Estimating the variance in nonparametric regression – what is a reasonable choice? Zbl 0944.62041
Dette, Holger; Munk, Axel; Wagner, Thorsten
1998
Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions. Zbl 1180.62087
Huckemann, Stephan; Hotz, Thomas; Munk, Axel
2010
Box-type approximations in nonparametric factorial designs. Zbl 0921.62096
Brunner, Edgar; Dette, Holger; Munk, Axel
1997
On difference-based variance estimation in nonparametric regression when the covariate is high dimensional. Zbl 1060.62047
Munk, Axel; Bissantz, Nicolai; Wagner, Thorsten; Freitag, Gudrun
2005
Consistencies and rates of convergence of jump-penalized least squares estimators. Zbl 1155.62034
Boysen, Leif; Kempe, Angela; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf
2009
Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise. Zbl 1077.65060
Bissantz, Nicolai; Hohage, Thorsten; Munk, Axel
2004
Validation of linear regression models. Zbl 0930.62041
Dette, Holger; Munk, Axel
1998
Nonparametric comparison of several regression functions: Exact and asymptotic theory. Zbl 0927.62040
Munk, Axel; Dette, Holger
1998
Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065
Frick, Klaus; Munk, Axel; Sieling, Hannes
2014
Identifiability of finite mixtures of elliptical distributions. Zbl 1164.62354
Holzmann, Hajo; Munk, Axel; Gneiting, Tilmann
2006
Nonparametric validation of similar distributions and assessment of goodness of fit. Zbl 0909.62047
1998
Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise. Zbl 1197.65060
Bauer, Frank; Hohage, Thorsten; Munk, Axel
2009
Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features. Zbl 1293.62104
Schmidt-Hieber, Johannes; Munk, Axel; Dümbgen, Lutz
2013
Testing for lack of fit in inverse regression-with applications to biophotonic imaging. Zbl 1231.62060
Bissantz, Nicolai; Claeskens, Gerda; Holzmann, Hajo; Munk, Axel
2009
Density testing in a contaminated sample. Zbl 1102.62045
Holzmann, Hajo; Bissantz, Nicolai; Munk, Axel
2007
Statistical multiresolution Dantzig estimation in imaging: fundamental concepts and algorithmic framework. Zbl 1314.62094
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2012
An unbiased test for the bioequivalence problem. Zbl 0905.62107
Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel
1997
Limit laws of the empirical Wasserstein distance: Gaussian distributions. Zbl 1351.62064
Rippl, Thomas; Munk, Axel; Sturm, Anja
2016
The one- and multi-sample problem for functional data with application to projective shape analysis. Zbl 1286.62050
Munk, A.; Paige, R.; Pang, J.; Patrangenaru, V.; Ruymgaart, F.
2008
Inference for empirical Wasserstein distances on finite spaces. Zbl 1380.62121
Sommerfeld, Max; Munk, Axel
2018
FDR-control in multiscale change-point segmentation. Zbl 1338.62117
Li, Housen; Munk, Axel; Sieling, Hannes
2016
Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116
Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel
2012
Some methodological aspects of validation of models in nonparametric regression. Zbl 1090.62531
Dette, Holger; Munk, Axel
2003
Möbius deconvolution on the hyperbolic plane with application to impedance density estimation. Zbl 1203.62055
Huckemann, Stephan F.; Kim, Peter T.; Koo, Ja-Yong; Munk, Axel
2010
Identifiability of finite mixtures – with applications to circular distributions. Zbl 1192.62144
Holzmann, Hajo; Munk, Axel; Stratmann, Bernd
2004
A test for additivity in nonparametric regression. Zbl 0991.62023
Derbort, Stephan; Dette, Holger; Munk, Axel
2002
Heterogeneous change point inference. Zbl 1373.62258
Pein, Florian; Sieling, Hannes; Munk, Axel
2017
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
2008
Testing general hypotheses under binomial sampling: the two sample case-asymptotic theory and exact procedures. Zbl 1429.62575
Munk, A.; Skipka, G.; Stratmann, B.
2005
On Hadamard differentiability in $$k$$-sample semiparametric models – with applications to the assessment of structural relationships. Zbl 1065.62080
Freitag, Gudrun; Munk, Axel
2005
Statistical multiresolution estimation for variational imaging: with an application in Poisson-biophotonics. Zbl 1312.68222
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2013
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
2009
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195
Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina
2016
Neyman smooth goodness-of-fit tests for the marginal distribution of dependent data. Zbl 1441.62224
Munk, Axel; Stockis, Jean-Pierre; Valeinis, Janis; Giese, Götz
2011
Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise. Zbl 1329.62366
Munk, Axel; Schmidt-Hieber, Johannes
2010
A nonparametric test for similarity of marginals – with applications to the assessment of population bioequivalence. Zbl 1111.62042
Freitag, Gudrun; Czado, Claudia; Munk, Axel
2007
Unconditional exact tests for the difference of binomial probabilities-contrasted and compared. Zbl 1429.62074
Skipka, G.; Munk, A.; Freitag, G.
2004
Multiscale scanning in inverse problems. Zbl 1410.62064
Proksch, Katharina; Werner, Frank; Munk, Axel
2018
Adaptive wavelet estimation of the diffusion coefficient under additive error measurements. Zbl 1282.62078
Hoffmann, M.; Munk, A.; Schmidt-Hieber, J.
2012
Sharp minimax estimation of the variance of Brownian motion corrupted with Gaussian noise. Zbl 05769953
Cai, T. Tony; Munk, A.; Schmidt-Hieber, J.
2010
Scale space consistency of piecewise constant least squares estimators – another look at the regressogram. Zbl 1176.62033
Boysen, Leif; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf
2007
Optimal regularization for ill-posed problems in metric spaces. Zbl 1132.65046
Bauer, F.; Munk, A.
2007
Testing the goodness of fit of parametric regression models with random Toeplitz forms. Zbl 1035.62063
Munk, Axel
2002
Noncanonical links in generalized linear models – when is the effort justified? Zbl 0969.62048
2000
$$1-\alpha$$ equivariant confidence rules for convex alternatives are $$\alpha/2$$-level tests – with applications to the multivariate assessment of bioequivalence. Zbl 1072.62586
Munk, Axel; Pflüger, Rafael
1999
Assessing the similarity of distributions – finite sample performance of the empirical Mallows distance. Zbl 1060.62503
1998
A simple goodness-of-fit test for linear models under a random design assumption. Zbl 0903.62039
Dette, Holger; Munk, Axel
1998
Bump detection in heterogeneous Gaussian regression. Zbl 1419.62098
Enikeeva, Farida; Munk, Axel; Werner, Frank
2018
Shape-constrained regularization by statistical multiresolution for inverse problems: asymptotic analysis. Zbl 1250.47009
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2012
Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces. Zbl 1175.62036
Bissantz, Nicolai; Dümbgen, Lutz; Munk, Axel; Stratmann, Bernd
2009
Non-parametric analysis of covariance – the case of inhomogeneous and heteroscedastic noise. Zbl 1150.62022
Munk, Axel; Neumeyer, Natalie; Scholz, Achim
2007
A review of variance estimators with extensions to multivariate nonparametric regression models. Zbl 0946.62056
Dette, Holger; Munk, Axel; Wagner, Thorsten
1999
A note on unbiased testing for the equivalence problem – another Christmas tree. Zbl 0932.62116
Munk, Axel
1999
Equivalence and interval testing for Lehmann’s alternative. Zbl 0880.62051
Munk, Axel
1996
Variational multiscale nonparametric regression: smooth functions. Zbl 1393.62014
Grasmair, Markus; Li, Housen; Munk, Axel
2018
Identifiability for blind source separation of multiple finite alphabet linear mixtures. Zbl 1374.94040
Behr, Merle; Munk, Axel
2017
Minimax rates for estimating the variance and its derivatives in non-parametric regression. Zbl 1073.62038
Munk, Axel; Ruymgaart, Frits
2002
Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079
Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D.
2000
Testing model assumptions in multivariate linear regression models. Zbl 1033.62037
Dette, Holger; Munk, Axel; Wagner, Thorsten
2000
An extension of Welch’s approximate $$t$$-solution to comparative bioequivalence trials. Zbl 0800.62707
Dannenberg, Olaf; Dette, Holger; Munk, Axel
1994
An improvement on commonly used tests in bioequivalence assessment. Zbl 0825.62752
Munk, Axel
1993
Multiscale change-point segmentation: beyond step functions. Zbl 1429.62145
Li, Housen; Guo, Qinghai; Munk, Axel
2019
Multiscale blind source separation. Zbl 1395.62084
Behr, Merle; Holmes, Chris; Munk, Axel
2018
Kernel partial least squares for stationary data. Zbl 1442.62088
Singer, Marco; Krivobokova, Tatyana; Munk, Axel
2017
Autocovariance estimation in regression with a discontinuous signal and $$m$$-dependent errors: a difference-based approach. Zbl 1422.62154
Tecuapetla-Gómez, Inder; Munk, Axel
2017
Drift estimation in sparse sequential dynamic imaging, with application to nanoscale fluorescence microscopy. Zbl 1414.62293
Hartmann, Alexander; Huckemann, Stephan; Dannemann, Jörn; Laitenberger, Oskar; Geisler, Claudia; Egner, Alexander; Munk, Axel
2016
Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding. Zbl 1290.42064
Haltmeier, Markus; Munk, Axel
2014
Testing noninferiority in three-armed clinical trials based on likelihood ratio statistics. Zbl 1132.62092
Munk, Axel; Mielke, Matthias; Skipka, Guido; Freitag, Gudrun
2007
Testing parametric assumptions on band- or time-limited signals under noise. Zbl 1282.94011
Bissantz, Nicolas; Holzmann, Hajo; Munk, Axel
2005
On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex half plane. Zbl 1042.62621
Munk, Axel
2001
An unbiased test for the average equivalence problem – the small sample case. Zbl 0976.62012
Munk, Axel
2000
Optimum allocation of treatments for Welch’s test in equivalence assessment. Zbl 0897.62118
Dette, Holger; Munk, Axel
1997
Sign regularity of a generalized Cauchy kernel with applications. Zbl 0848.62006
Dette, Holger; Munk, Axel
1996
Persistence barcodes versus Kolmogorov signatures: detecting modes of one-dimensional signals. Zbl 1367.62086
Bauer, Ulrich; Munk, Axel; Sieling, Hannes; Wardetzky, Max
2017
Regularized Bayesian estimation of generalized threshold regression models. Zbl 1327.62394
Greb, Friederike; Krivobokova, Tatyana; Munk, Axel; von Cramon-Taubadel, Stephan
2014
Asymptotic laws for change point estimation in inverse regression. Zbl 06290110
Frick, Sophie; Hohage, Thorsten; Munk, Axel
2014
Jump estimation in inverse regression. Zbl 1326.62074
Boysen, Leif; Bruns, Sophie; Munk, Axel
2009
The likelihood ratio test for non-standard hypotheses near the boundary of the null – with application to the assessment of non-inferiority. Zbl 1178.62061
Balabdaoui, Fadoua; Mielke, Matthias; Munk, Axel
2009
Biedermann, Stefanie; Nagel, Eva; Munk, Axel; Holzmann, Hajo; Steland, Ansgar
2006
Bootstrap methods for the nonparametric assessment of population bioequivalence and similarity of distributions. Zbl 1111.62040
2001
Optimal inference for circular variation diminishing experiments with applications to the von-Mises distribution and the Fisher-Efron parabola model. Zbl 1093.62542
Munk, Axel
1999
Multiscale change-point segmentation: beyond step functions. Zbl 1429.62145
Li, Housen; Guo, Qinghai; Munk, Axel
2019
Inference for empirical Wasserstein distances on finite spaces. Zbl 1380.62121
Sommerfeld, Max; Munk, Axel
2018
Multiscale scanning in inverse problems. Zbl 1410.62064
Proksch, Katharina; Werner, Frank; Munk, Axel
2018
Bump detection in heterogeneous Gaussian regression. Zbl 1419.62098
Enikeeva, Farida; Munk, Axel; Werner, Frank
2018
Variational multiscale nonparametric regression: smooth functions. Zbl 1393.62014
Grasmair, Markus; Li, Housen; Munk, Axel
2018
Multiscale blind source separation. Zbl 1395.62084
Behr, Merle; Holmes, Chris; Munk, Axel
2018
Heterogeneous change point inference. Zbl 1373.62258
Pein, Florian; Sieling, Hannes; Munk, Axel
2017
Identifiability for blind source separation of multiple finite alphabet linear mixtures. Zbl 1374.94040
Behr, Merle; Munk, Axel
2017
Kernel partial least squares for stationary data. Zbl 1442.62088
Singer, Marco; Krivobokova, Tatyana; Munk, Axel
2017
Autocovariance estimation in regression with a discontinuous signal and $$m$$-dependent errors: a difference-based approach. Zbl 1422.62154
Tecuapetla-Gómez, Inder; Munk, Axel
2017
Persistence barcodes versus Kolmogorov signatures: detecting modes of one-dimensional signals. Zbl 1367.62086
Bauer, Ulrich; Munk, Axel; Sieling, Hannes; Wardetzky, Max
2017
Limit laws of the empirical Wasserstein distance: Gaussian distributions. Zbl 1351.62064
Rippl, Thomas; Munk, Axel; Sturm, Anja
2016
FDR-control in multiscale change-point segmentation. Zbl 1338.62117
Li, Housen; Munk, Axel; Sieling, Hannes
2016
The circular SiZer, inferred persistence of shape parameters and application to early stem cell differentiation. Zbl 1349.62195
Huckemann, Stephan; Kim, Kwang-Rae; Munk, Axel; Rehfeldt, Florian; Sommerfeld, Max; Weickert, Joachim; Wollnik, Carina
2016
Drift estimation in sparse sequential dynamic imaging, with application to nanoscale fluorescence microscopy. Zbl 1414.62293
Hartmann, Alexander; Huckemann, Stephan; Dannemann, Jörn; Laitenberger, Oskar; Geisler, Claudia; Egner, Alexander; Munk, Axel
2016
Multiscale change point inference. With discussion and authors’ reply. Zbl 1411.62065
Frick, Klaus; Munk, Axel; Sieling, Hannes
2014
Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding. Zbl 1290.42064
Haltmeier, Markus; Munk, Axel
2014
Regularized Bayesian estimation of generalized threshold regression models. Zbl 1327.62394
Greb, Friederike; Krivobokova, Tatyana; Munk, Axel; von Cramon-Taubadel, Stephan
2014
Asymptotic laws for change point estimation in inverse regression. Zbl 06290110
Frick, Sophie; Hohage, Thorsten; Munk, Axel
2014
Multiscale methods for shape constraints in deconvolution: confidence statements for qualitative features. Zbl 1293.62104
Schmidt-Hieber, Johannes; Munk, Axel; Dümbgen, Lutz
2013
Statistical multiresolution estimation for variational imaging: with an application in Poisson-biophotonics. Zbl 1312.68222
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2013
Statistical multiresolution Dantzig estimation in imaging: fundamental concepts and algorithmic framework. Zbl 1314.62094
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2012
Locally adaptive image denoising by a statistical multiresolution criterion. Zbl 1239.62116
Hotz, Thomas; Marnitz, Philipp; Stichtenoth, Rahel; Davies, Laurie; Kabluchko, Zakhar; Munk, Axel
2012
Adaptive wavelet estimation of the diffusion coefficient under additive error measurements. Zbl 1282.62078
Hoffmann, M.; Munk, A.; Schmidt-Hieber, J.
2012
Shape-constrained regularization by statistical multiresolution for inverse problems: asymptotic analysis. Zbl 1250.47009
Frick, Klaus; Marnitz, Philipp; Munk, Axel
2012
Neyman smooth goodness-of-fit tests for the marginal distribution of dependent data. Zbl 1441.62224
Munk, Axel; Stockis, Jean-Pierre; Valeinis, Janis; Giese, Götz
2011
Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions. Zbl 1180.62087
Huckemann, Stephan; Hotz, Thomas; Munk, Axel
2010
Möbius deconvolution on the hyperbolic plane with application to impedance density estimation. Zbl 1203.62055
Huckemann, Stephan F.; Kim, Peter T.; Koo, Ja-Yong; Munk, Axel
2010
Nonparametric estimation of the volatility function in a high-frequency model corrupted by noise. Zbl 1329.62366
Munk, Axel; Schmidt-Hieber, Johannes
2010
Sharp minimax estimation of the variance of Brownian motion corrupted with Gaussian noise. Zbl 05769953
Cai, T. Tony; Munk, A.; Schmidt-Hieber, J.
2010
Consistencies and rates of convergence of jump-penalized least squares estimators. Zbl 1155.62034
Boysen, Leif; Kempe, Angela; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf
2009
Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise. Zbl 1197.65060
Bauer, Frank; Hohage, Thorsten; Munk, Axel
2009
Testing for lack of fit in inverse regression-with applications to biophotonic imaging. Zbl 1231.62060
Bissantz, Nicolai; Claeskens, Gerda; Holzmann, Hajo; Munk, Axel
2009
Shao’s theorem on the maximum of standardized random walk increments for multidimensional arrays. Zbl 1188.60014
Kabluchko, Zakhar; Munk, Axel
2009
Convergence analysis of generalized iteratively reweighted least squares algorithms on convex function spaces. Zbl 1175.62036
Bissantz, Nicolai; Dümbgen, Lutz; Munk, Axel; Stratmann, Bernd
2009
Jump estimation in inverse regression. Zbl 1326.62074
Boysen, Leif; Bruns, Sophie; Munk, Axel
2009
The likelihood ratio test for non-standard hypotheses near the boundary of the null – with application to the assessment of non-inferiority. Zbl 1178.62061
Balabdaoui, Fadoua; Mielke, Matthias; Munk, Axel
2009
The one- and multi-sample problem for functional data with application to projective shape analysis. Zbl 1286.62050
Munk, A.; Paige, R.; Pang, J.; Patrangenaru, V.; Ruymgaart, F.
2008
Exact convergence rate for the maximum of standardized Gaussian increments. Zbl 1189.60063
Kabluchko, Zakhar; Munk, Axel
2008
Convergence rates of general regularization methods for statistical inverse problems and applications. Zbl 1234.62062
Bissantz, N.; Hohage, T.; Munk, A.; Ruymgaart, F.
2007
Density testing in a contaminated sample. Zbl 1102.62045
Holzmann, Hajo; Bissantz, Nicolai; Munk, Axel
2007
A nonparametric test for similarity of marginals – with applications to the assessment of population bioequivalence. Zbl 1111.62042
Freitag, Gudrun; Czado, Claudia; Munk, Axel
2007
Scale space consistency of piecewise constant least squares estimators – another look at the regressogram. Zbl 1176.62033
Boysen, Leif; Liebscher, Volkmar; Munk, Axel; Wittich, Olaf
2007
Optimal regularization for ill-posed problems in metric spaces. Zbl 1132.65046
Bauer, F.; Munk, A.
2007
Non-parametric analysis of covariance – the case of inhomogeneous and heteroscedastic noise. Zbl 1150.62022
Munk, Axel; Neumeyer, Natalie; Scholz, Achim
2007
Testing noninferiority in three-armed clinical trials based on likelihood ratio statistics. Zbl 1132.62092
Munk, Axel; Mielke, Matthias; Skipka, Guido; Freitag, Gudrun
2007
Identifiability of finite mixtures of elliptical distributions. Zbl 1164.62354
Holzmann, Hajo; Munk, Axel; Gneiting, Tilmann
2006
Biedermann, Stefanie; Nagel, Eva; Munk, Axel; Holzmann, Hajo; Steland, Ansgar
2006
On difference-based variance estimation in nonparametric regression when the covariate is high dimensional. Zbl 1060.62047
Munk, Axel; Bissantz, Nicolai; Wagner, Thorsten; Freitag, Gudrun
2005
Testing general hypotheses under binomial sampling: the two sample case-asymptotic theory and exact procedures. Zbl 1429.62575
Munk, A.; Skipka, G.; Stratmann, B.
2005
On Hadamard differentiability in $$k$$-sample semiparametric models – with applications to the assessment of structural relationships. Zbl 1065.62080
Freitag, Gudrun; Munk, Axel
2005
Testing parametric assumptions on band- or time-limited signals under noise. Zbl 1282.94011
Bissantz, Nicolas; Holzmann, Hajo; Munk, Axel
2005
Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise. Zbl 1077.65060
Bissantz, Nicolai; Hohage, Thorsten; Munk, Axel
2004
Identifiability of finite mixtures – with applications to circular distributions. Zbl 1192.62144
Holzmann, Hajo; Munk, Axel; Stratmann, Bernd
2004
Unconditional exact tests for the difference of binomial probabilities-contrasted and compared. Zbl 1429.62074
Skipka, G.; Munk, A.; Freitag, G.
2004
Some methodological aspects of validation of models in nonparametric regression. Zbl 1090.62531
Dette, Holger; Munk, Axel
2003
A test for additivity in nonparametric regression. Zbl 0991.62023
Derbort, Stephan; Dette, Holger; Munk, Axel
2002
Testing the goodness of fit of parametric regression models with random Toeplitz forms. Zbl 1035.62063
Munk, Axel
2002
Minimax rates for estimating the variance and its derivatives in non-parametric regression. Zbl 1073.62038
Munk, Axel; Ruymgaart, Frits
2002
On a problem in pharmaceutical statistics and the iteration of a peculiar nonlinear operator in the upper complex half plane. Zbl 1042.62621
Munk, Axel
2001
Bootstrap methods for the nonparametric assessment of population bioequivalence and similarity of distributions. Zbl 1111.62040
2001
Noncanonical links in generalized linear models – when is the effort justified? Zbl 0969.62048
2000
Testing average equivalence – finding a compromise between theory and practice. Zbl 0968.62079
Munk, Axel; Hwang, J. T. Gene; Brown, Lawrence D.
2000
Testing model assumptions in multivariate linear regression models. Zbl 1033.62037
Dette, Holger; Munk, Axel; Wagner, Thorsten
2000
An unbiased test for the average equivalence problem – the small sample case. Zbl 0976.62012
Munk, Axel
2000
$$1-\alpha$$ equivariant confidence rules for convex alternatives are $$\alpha/2$$-level tests – with applications to the multivariate assessment of bioequivalence. Zbl 1072.62586
Munk, Axel; Pflüger, Rafael
1999
A review of variance estimators with extensions to multivariate nonparametric regression models. Zbl 0946.62056
Dette, Holger; Munk, Axel; Wagner, Thorsten
1999
A note on unbiased testing for the equivalence problem – another Christmas tree. Zbl 0932.62116
Munk, Axel
1999
Optimal inference for circular variation diminishing experiments with applications to the von-Mises distribution and the Fisher-Efron parabola model. Zbl 1093.62542
Munk, Axel
1999
Testing heteroscedasticity in nonparametric regression. Zbl 0909.62035
Dette, Holger; Munk, Axel
1998
Estimating the variance in nonparametric regression – what is a reasonable choice? Zbl 0944.62041
Dette, Holger; Munk, Axel; Wagner, Thorsten
1998
Validation of linear regression models. Zbl 0930.62041
Dette, Holger; Munk, Axel
1998
Nonparametric comparison of several regression functions: Exact and asymptotic theory. Zbl 0927.62040
Munk, Axel; Dette, Holger
1998
Nonparametric validation of similar distributions and assessment of goodness of fit. Zbl 0909.62047
1998
Assessing the similarity of distributions – finite sample performance of the empirical Mallows distance. Zbl 1060.62503
1998
A simple goodness-of-fit test for linear models under a random design assumption. Zbl 0903.62039
Dette, Holger; Munk, Axel
1998
Box-type approximations in nonparametric factorial designs. Zbl 0921.62096
Brunner, Edgar; Dette, Holger; Munk, Axel
1997
An unbiased test for the bioequivalence problem. Zbl 0905.62107
Brown, Lawrence D.; Hwang, J. T. Gene; Munk, Axel
1997
Optimum allocation of treatments for Welch’s test in equivalence assessment. Zbl 0897.62118
Dette, Holger; Munk, Axel
1997
Equivalence and interval testing for Lehmann’s alternative. Zbl 0880.62051
Munk, Axel
1996
Sign regularity of a generalized Cauchy kernel with applications. Zbl 0848.62006
Dette, Holger; Munk, Axel
1996
An extension of Welch’s approximate $$t$$-solution to comparative bioequivalence trials. Zbl 0800.62707
Dannenberg, Olaf; Dette, Holger; Munk, Axel
1994
An improvement on commonly used tests in bioequivalence assessment. Zbl 0825.62752
Munk, Axel
1993
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#### Cited by 1,047 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. 7 Patrangenaru, Victor 7 Werner, Frank 6 Bathke, Arne C. 6 Czado, Claudia 6 del Barrio, Eustasio 6 Konietschke, Frank 6 Proksch, Katharina 6 Reiß, Markus 6 Sapatinas, Theofanis 6 Schmidt-Hieber, Johannes 6 Tong, Tiejun 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 Weinmann, Andreas 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 Kim, Peter T. 4 Li, Housen 4 McNicholas, Paul D. 4 Pauly, Markus 4 Puri, Madan Lal 4 Storath, Martin 4 Van Keilegom, Ingrid 4 Wang, Lie 4 Wang, Zhaojun 4 Zou, Changliang 3 Akritas, Michael G. 3 Álvarez-Esteban, Pedro César 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 Hothorn, Ludwig A. 3 Hotz, Thomas 3 Ip, Wai-Cheung 3 Kabluchko, Zakhar A. 3 Kim, Kwang-Rae 3 Kong, Xiaoli 3 Koo, Ja-Yong 3 Laurent, Béatrice 3 Liebscher, Volkmar 3 Lin, Jinguan 3 Lin, Lu 3 Liu, Feng 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 Schneider, Gaby 3 Smirnova, Alexandra B. ...and 947 more Authors
all top 5

#### Cited in 134 Serials

 51 The Annals of Statistics 44 Journal of Multivariate Analysis 43 Journal of Statistical Planning and Inference 39 Computational Statistics and Data Analysis 38 Electronic Journal of Statistics 23 Journal of Nonparametric Statistics 16 Statistics & Probability Letters 16 Bernoulli 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 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 Computational Statistics 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 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 1 Applied and Computational Harmonic Analysis ...and 34 more Serials
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#### Cited in 39 Fields

 577 Statistics (62-XX) 147 Numerical analysis (65-XX) 98 Probability theory and stochastic processes (60-XX) 28 Information and communication theory, circuits (94-XX) 23 Operator theory (47-XX) 21 Computer science (68-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Biology and other natural sciences (92-XX) 17 Differential geometry (53-XX) 17 Operations research, mathematical programming (90-XX) 13 Partial differential equations (35-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 5 Astronomy and astrophysics (85-XX) 5 Geophysics (86-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)