Edit Profile (opens in new tab) Polonik, Wolfgang Co-Author Distance Author ID: polonik.wolfgang Published as: Polonik, Wolfgang Videos: carmin.tv Documents Indexed: 35 Publications since 1992, including 1 Book and 4 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 26 Co-Authors with 31 Joint Publications 900 Co-Co-Authors all top 5 Co-Authors 7 single-authored 4 Qiao, Wanli 4 Yao, Qiwei 3 Chandler, Gabriel 3 Dahlhaus, Rainer 3 Krebs, Johannes T. N. 2 Balasubramanian, Krishnakumar 2 Mammen, Enno 2 Roycraft, Benjamin 2 Shi, Zhaoyang 2 Wang, Zailong 1 Anevski, Dragi 1 Beran, Rudolf J. 1 Bhattacharjee, Chinmoy 1 Burman, Prabir 1 Chandler, Gabe 1 Divol, Vincent 1 Genovese, Christopher R. 1 Hubert, Mia 1 Jongbloed, Geurt 1 Klüppelberg, Claudia 1 Kreiß, Alexander 1 Li, Jun 1 Mason, David Michael 1 Pan, Jiazhu 1 Serfling, Robert J. 1 Wang, Nana all top 5 Serials 7 The Annals of Statistics 6 Journal of Multivariate Analysis 4 Journal of the American Statistical Association 3 Bernoulli 3 Oberwolfach Reports 3 Electronic Journal of Statistics 1 Journal of Econometrics 1 Journal of Time Series Analysis 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Journal of Applied and Computational Topology all top 5 Fields 31 Statistics (62-XX) 13 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 484 times in 319 Documents Cited by ▼ Year ▼ Measuring mass concentrations and estimating density contour clusters – An excess mass approach. Zbl 0841.62045 Polonik, Wolfgang 114 1995 Asymptotic normality of plug-in level set estimates. Zbl 1180.62048 Mason, David M.; Polonik, Wolfgang 45 2009 Empirical spectral processes for locally stationary time series. Zbl 1204.62156 Dahlhaus, Rainer; Polonik, Wolfgang 45 2009 Nonparametric quasi-maximum likelihood estimation for Gaussian locally stationary processes. Zbl 1114.62034 Dahlhaus, Rainer; Polonik, Wolfgang 35 2006 Minimum volume sets and generalized quantile processes. Zbl 0905.62053 Polonik, Wolfgang 29 1997 Confidence regions for level sets. Zbl 1280.62056 Mammen, Enno; Polonik, Wolfgang 26 2013 Conditional minimum volume predictive regions for stochastic processes. Zbl 0995.62097 Polonik, Wolfgang; Yao, Qiwei 21 2000 Density estimation under qualitative assumptions in higher dimensions. Zbl 0847.62027 Polonik, Wolfgang 19 1995 The silhouette, concentration functions and ML-density estimation under order restrictions. Zbl 1073.62523 Polonik, Wolfgang 17 1998 Multivariate mode hunting: Data analytic tools with measures of significance. Zbl 1159.62032 Burman, Prabir; Polonik, Wolfgang 16 2009 Concentration and goodness-of-fit in higher dimensions: (Asymptotically) distribution-free methods. Zbl 0961.62041 Polonik, Wolfgang 15 1999 Discrimination of locally stationary time series based on the excess mass functional. Zbl 1118.62358 Chandler, Gabriel; Polonik, Wolfgang 15 2006 Set-indexed conditional empirical and quantile processes based on dependent data. Zbl 0992.62094 Polonik, Wolfgang; Yao, Qiwei 15 2002 Theoretical analysis of nonparametric filament estimation. Zbl 1338.62139 Qiao, Wanli; Polonik, Wolfgang 11 2016 Nonparametric confidence regions for level sets: statistical properties and geometry. Zbl 1418.62144 Qiao, Wanli; Polonik, Wolfgang 10 2019 On the choice of weight functions for linear representations of persistence diagrams. Zbl 1422.60024 Divol, Vincent; Polonik, Wolfgang 10 2019 Estimation of regression contour clusters – an application of the excess mass approach to regression. Zbl 1066.62047 Polonik, Wolfgang; Wang, Zailong 9 2005 Empirical spectral processes and nonparametric maximum likelihood estimation for time series. Zbl 1022.62091 Dahlhaus, Rainer; Polonik, Wolfgang 7 2002 On approximation theorems for the Euler characteristic with applications to the bootstrap. Zbl 1491.60049 Krebs, Johannes; Roycraft, Benjamin; Polonik, Wolfgang 6 2021 PRIM analysis. Zbl 1186.62132 Polonik, Wolfgang; Wang, Zailong 5 2010 Extrema of rescaled locally stationary Gaussian fields on manifolds. Zbl 1429.60039 Qiao, Wanli; Polonik, Wolfgang 4 2018 Testing for multivariate volatility functions using minimum volume sets and inverse regression. Zbl 1429.62410 Polonik, Wolfgang; Yao, Qiwei 4 2008 Mode identification of volatility in time-varying autoregression. Zbl 1356.62134 Chandler, Gabriel; Polonik, Wolfgang 2 2012 Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with applications. Zbl 1468.62303 Chandler, Gabriel; Polonik, Wolfgang 2 2021 The excess mass approach to cluster analysis and related estimation problems. Zbl 0766.62036 Polonik, Wolfgang 1 1992 Nonparametric inference for continuous-time event counting and link-based dynamic network models. Zbl 1431.62120 Kreiß, Alexander; Mammen, Enno; Polonik, Wolfgang 1 2019 On approximation theorems for the Euler characteristic with applications to the bootstrap. Zbl 1491.60049 Krebs, Johannes; Roycraft, Benjamin; Polonik, Wolfgang 6 2021 Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with applications. Zbl 1468.62303 Chandler, Gabriel; Polonik, Wolfgang 2 2021 Nonparametric confidence regions for level sets: statistical properties and geometry. Zbl 1418.62144 Qiao, Wanli; Polonik, Wolfgang 10 2019 On the choice of weight functions for linear representations of persistence diagrams. Zbl 1422.60024 Divol, Vincent; Polonik, Wolfgang 10 2019 Nonparametric inference for continuous-time event counting and link-based dynamic network models. Zbl 1431.62120 Kreiß, Alexander; Mammen, Enno; Polonik, Wolfgang 1 2019 Extrema of rescaled locally stationary Gaussian fields on manifolds. Zbl 1429.60039 Qiao, Wanli; Polonik, Wolfgang 4 2018 Theoretical analysis of nonparametric filament estimation. Zbl 1338.62139 Qiao, Wanli; Polonik, Wolfgang 11 2016 Confidence regions for level sets. Zbl 1280.62056 Mammen, Enno; Polonik, Wolfgang 26 2013 Mode identification of volatility in time-varying autoregression. Zbl 1356.62134 Chandler, Gabriel; Polonik, Wolfgang 2 2012 PRIM analysis. Zbl 1186.62132 Polonik, Wolfgang; Wang, Zailong 5 2010 Asymptotic normality of plug-in level set estimates. Zbl 1180.62048 Mason, David M.; Polonik, Wolfgang 45 2009 Empirical spectral processes for locally stationary time series. Zbl 1204.62156 Dahlhaus, Rainer; Polonik, Wolfgang 45 2009 Multivariate mode hunting: Data analytic tools with measures of significance. Zbl 1159.62032 Burman, Prabir; Polonik, Wolfgang 16 2009 Testing for multivariate volatility functions using minimum volume sets and inverse regression. Zbl 1429.62410 Polonik, Wolfgang; Yao, Qiwei 4 2008 Nonparametric quasi-maximum likelihood estimation for Gaussian locally stationary processes. Zbl 1114.62034 Dahlhaus, Rainer; Polonik, Wolfgang 35 2006 Discrimination of locally stationary time series based on the excess mass functional. Zbl 1118.62358 Chandler, Gabriel; Polonik, Wolfgang 15 2006 Estimation of regression contour clusters – an application of the excess mass approach to regression. Zbl 1066.62047 Polonik, Wolfgang; Wang, Zailong 9 2005 Set-indexed conditional empirical and quantile processes based on dependent data. Zbl 0992.62094 Polonik, Wolfgang; Yao, Qiwei 15 2002 Empirical spectral processes and nonparametric maximum likelihood estimation for time series. Zbl 1022.62091 Dahlhaus, Rainer; Polonik, Wolfgang 7 2002 Conditional minimum volume predictive regions for stochastic processes. Zbl 0995.62097 Polonik, Wolfgang; Yao, Qiwei 21 2000 Concentration and goodness-of-fit in higher dimensions: (Asymptotically) distribution-free methods. Zbl 0961.62041 Polonik, Wolfgang 15 1999 The silhouette, concentration functions and ML-density estimation under order restrictions. Zbl 1073.62523 Polonik, Wolfgang 17 1998 Minimum volume sets and generalized quantile processes. Zbl 0905.62053 Polonik, Wolfgang 29 1997 Measuring mass concentrations and estimating density contour clusters – An excess mass approach. Zbl 0841.62045 Polonik, Wolfgang 114 1995 Density estimation under qualitative assumptions in higher dimensions. Zbl 0847.62027 Polonik, Wolfgang 19 1995 The excess mass approach to cluster analysis and related estimation problems. Zbl 0766.62036 Polonik, Wolfgang 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 494 Authors 18 Polonik, Wolfgang 8 Liang, Hanying 7 Fraiman, Ricardo 7 Qiao, Wanli 6 Bouzebda, Salim 6 Cuevas, Antonio 6 Dette, Holger 5 Chen, Yen-Chi 5 Dahlhaus, Rainer 5 Einmahl, John H. J. 5 Krebs, Johannes T. N. 5 Preuß, Philip 5 Samworth, Richard J. 5 Subba Rao, Suhasini 5 Yao, Qiwei 4 Cadre, Benoît 4 Chacón, José E. 4 Laloë, Thomas 4 Saavedra-Nieves, Paula 4 Wasserman, Larry Alan 3 Biau, Gérard 3 Cannings, Timothy Ivor 3 Chandler, Gabriel 3 de Uña-Álvarez, Jacobo 3 Delicado, Pedro F. 3 Ghosal, Subhashis 3 Hall, Peter Gavin 3 Klemelä, Jussi 3 Kovac, Arne 3 Laksaci, Ali 3 Menardi, Giovanna 3 Morettin, Pedro Alberto 3 Mushkudiani, Nino A. 3 Olea, Ricardo A. 3 Owada, Takashi 3 Palma, Wilfredo 3 Paparoditis, Efstathios 3 Pelletier, Bruno 3 Rodríguez-Casal, Alberto 3 Servien, Rémi 3 Tong, Xin 3 Vetter, Mathias 3 Walther, Günther 3 Wellner, Jon August 3 Whang, Yoon-Jae 2 Anevski, Dragi 2 Baíllo, Amparo 2 Bardet, Jean-Marc 2 Barunik, Jozef 2 Bertail, Patrice 2 Boubaker, Heni 2 Brunel, Victor-Emmanuel 2 Casini, Alessandro 2 Cholaquidis, Alejandro 2 Chou-Chen, Shu Wei 2 Chzhen, Evgenii 2 Clémençon, Stéphan 2 Davies, Patrick Laurie 2 Dazard, Jean-Eudes 2 de Haan, Laurens 2 Doss, Charles R. 2 Doukhan, Paul 2 Dümbgen, Lutz 2 Fan, Jianqing 2 Fasen-Hartmann, Vicky 2 Febrero, Manuel 2 Feng, Yang 2 Fernández Serrano, Javier 2 Ferreira, Guillermo P. 2 García-Escudero, Luis Angel 2 Genovese, Christopher R. 2 Gordaliza, Alfonso 2 Hapfelmeier, Alexander 2 Hlubinka, Daniel 2 Johannes, Jan 2 Kapetanios, George 2 Karmakar, Sayar 2 Khardani, Salah 2 Kirch, Claudia 2 Kolaczyk, Eric D. 2 Lee, Sokbae 2 Li, Wei 2 Loustau, Sébastien 2 Lugosi, Gábor 2 Mammen, Enno 2 Mayer, Celeste 2 Mikosch, Thomas 2 Minnotte, Michael C. 2 Mojirsheibani, Majid 2 Moreno, Leonardo 2 Munk, Axel 2 Nemouchi, Boutheina 2 Nieto-Reyes, Alicia 2 Pauwels, Edouard Jean Robert 2 Pavlides, Marios G. 2 Peng, Liang 2 Perron, Pierre 2 Petrova, Katerina 2 Phandoidaen, Nathawut 2 Rao, J. Sunil ...and 394 more Authors all top 5 Cited in 88 Serials 54 The Annals of Statistics 23 Journal of Multivariate Analysis 21 Bernoulli 21 Electronic Journal of Statistics 12 Journal of Econometrics 10 Computational Statistics and Data Analysis 8 Journal of Nonparametric Statistics 7 Stochastic Processes and their Applications 6 Scandinavian Journal of Statistics 6 Annals of the Institute of Statistical Mathematics 6 Journal of the American Statistical Association 6 Journal of Statistical Planning and Inference 5 Statistics & Probability Letters 5 Journal of Time Series Analysis 5 Communications in Statistics. Theory and Methods 5 Journal of Statistical Computation and Simulation 4 Test 4 Mathematical Methods of Statistics 4 Econometric Theory 4 Journal of Machine Learning Research (JMLR) 4 Statistics and Computing 3 The Canadian Journal of Statistics 3 Probability Theory and Related Fields 3 Economics Letters 3 Computational Statistics 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Extremes 3 Sankhyā. Series A 3 Wiley Interdisciplinary Reviews. WIREs Computational Statistics 2 Advances in Applied Probability 2 International Statistical Review 2 Journal of Applied Probability 2 Statistics 2 Statistical Science 2 Neural Computation 2 The Annals of Applied Probability 2 European Journal of Operational Research 2 Australian & New Zealand Journal of Statistics 2 Methodology and Computing in Applied Probability 2 Statistical Methods and Applications 2 Advances in Data Analysis and Classification. ADAC 2 The Annals of Applied Statistics 2 Journal of Computational and Graphical Statistics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Metrika 1 Theory of Probability and its Applications 1 Biometrics 1 Information Sciences 1 Mathematics of Operations Research 1 Statistica Neerlandica 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Journal of Classification 1 Acta Mathematicae Applicatae Sinica. English Series 1 Econometric Reviews 1 International Journal of Approximate Reasoning 1 Journal of Economic Dynamics & Control 1 Journal of Scientific Computing 1 Communications in Statistics. Simulation and Computation 1 Theory of Probability and Mathematical Statistics 1 Statistical Papers 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Soft Computing 1 Studies in Nonlinear Dynamics and Econometrics 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 Journal of Applied Statistics 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Statistical Inference for Stochastic Processes 1 Communications in Nonlinear Science and Numerical Simulation 1 Applied Stochastic Models in Business and Industry 1 Brazilian Journal of Probability and Statistics 1 Analysis and Applications (Singapore) 1 Journal of Forecasting 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of the Korean Statistical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Computational & Mathematical Methods in Medicine 1 Statistical Analysis and Data Mining 1 Science China. Mathematics 1 Advances in Decision Sciences 1 Bayesian Analysis 1 Journal of Time Series Econometrics 1 SIAM Journal on Applied Algebra and Geometry 1 Journal of Applied and Computational Topology 1 Japanese Journal of Statistics and Data Science 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 23 Fields 294 Statistics (62-XX) 64 Probability theory and stochastic processes (60-XX) 30 Numerical analysis (65-XX) 21 Computer science (68-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Algebraic topology (55-XX) 5 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year