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A1 : Robuste Modellbildung und Dimensionsreduktion

 

  • Becker, C., and Gather, U. (2008), "A Note on the Choice of the Number of Slices in Sliced Inverse Regression", submitted.
  • Davies, P. L. (2008), "Approximating Data (with discussion)", Journal of the Korean Statistical Society, to appear. 
  • Davies, P. L., Gather, U., Meise, M., Mergel, D. and Mildenberger, T. (2008), "Residual Based Localisation and Quantification of Peaks in X-Ray Diffractograms", Annals of Statistics, to appear.
  • Davies, P. L., Gather, U., Nordmann, D. J. and Weinert, H. (2008), "A comparison of automatic histogram constructions", ESAIM: Probability and Statistics, to appear.
  • Davies, P. L., Gather, U. and Weinert, H. (2008), "Nonparametric Regression as an Example of Model Choice", Communications in Statistics - Simulation and Computation, 37, pp.274-289.
  • Davies, P. L., Kovac, A. and Meise, M. (2008), "Nonparametric Regression, Confidence Regions and Regularization", Annals of Statistic, to appear. 
  • Davies, P. L. and Meise, M. (2008), "Approximating Data with Weighted Smooting Splines", Journal of Nonparametric Statistics, to appear. 
  • Gather, U., and Guddat, C. (2008), Comment on "Sure Independence Screening for Ultra-high Dimensional Feature Space" by J. Fan and J. Lv, to appear in Journal of the Royal Statistical Society B.
  • Mildenberger, T. (2008), "A geometric interpretation of the multiresolution criterion in nonparametric regression", Nonparametric Statistics, to appear.
  • Barme-Delcroix, M. F., and Gather, U. (2007), "Limit Laws for Multidimensional Extremes", Statistics & Probability Letters, 77, 1750-1755.
  • Davies, P. L. and Gather, U. (2007) Discussion of "A Survey of Robust Statistics" by S. Morgenthaler, Statistical Methods and Applications, 15, pp.282-285.
  • Davies, P. L. and Gather, U. (2007) The Breakdown Point - Examples and Counterexamples, Revstat Statistical Journal, 5, pp. 1-17.
  • Gather, U. (2007), "Komplexität", in Perspektiven der Forschung und ihrer Förderung, ed. DFG, Weinheim: Wiley VCH, 201-207. 
  • Fried, R., Bernholt, T. und Gather, U. (2006), "Repeated median and hybrid filters", Computational Statistics and Data Analysis, Special Issue: Statistical Signal Extraction and Filtering, erscheint.
  • Davies, P. L. und Gather, U. (2005), "Breakdown and Groups" (with discussion and rejoinder), Annals of Statistics, 33, 977-1035. (download article here)
  • Davies, P. L. und Gather, U. (2005), "Addendum to Breakdown and Groups", Annals of Statistics, erscheint.
  • Fried, R., Einbeck, J. und Gather, U. (2005), "Weighted Repeated Median Smoothing and Filtering", eingereicht bei: Journal of the American Statistical Association.
  • Genschel, U. (2005), "Robustness Concepts for Sliced Inverse Regression", Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Davies, P. L. (2004), "The One-way-table", Journal of Statistical Planning and Inference, Special Issue: Contemporary Data Analysis: Theory and Methods in Honor of John W. Tukey (1915-2000), Turrin, L., Tyler D. E., Yohai, V. (Hrsg.), 122, 3-13.
  • Davies, P. L., Fried, R. und Gather, U. (2004), "Robust Signal Extraction for On-line Monitoring Data", Journal of Statistical Planning and Inference, Special Issue: Contemporary Data Analysis: Theory and Methods in Honor of John W. Tukey (1915-2000), Turrin, L., Tyler D. E., Yohai, V. (Hrsg.), 122, 3-13.
  • Davies, P. L. und Gather, U. (2004), "Robust Statistics", Chapter 3.9, in: Handbook of Computational Statistics, Gentle, J., Härdle, W., Mori, Y. (Hrsg.), Springer, New York, 655-695.
  • Davies, P. L. und Kovac, A. (2004), "Densities, Spectral Densities and Modality", Annals of Statistics, 32, 1093-1136.
  • Gather, U. und Pawlitschko, J. (2004), "Outlier Detection", SE Section 11 (Statistics), in: The Encyclopedia of Acturial Science (EoAS), Vol. 3, Sundt, B. und ,Teugels, J. (Hrsg.), Wiley, Chicester, 1230-1237.
  • Gather, U. und Székely, G. (2004), "Characterizations of Distributions by linear Forms of Order Statistics", Communications in Statistics, 33, 2913 - 2919.
  • Kuhnt, S. (2004), "Outlier Identification Procedures for Contingency Tables Using Maximum Likelihood and L1 Estimates", Scandinavian Journal of Statistics, 31, 431-442.
  • Kuhnt, S., Schürmann, C. und Griefahn, B. (2004), "Annoyance from Multiple Transportation Noise: Statistical Models and Outlier Detection", Methods of Information in Medicine, 5, 510-515.
  • Meise, M. (2004), "Residual Based Selection of Smoothing Parameters", Dissertation, Fachbereich Mathematik, Universität Duisburg-Essen.
  • Nordman, D. J. und Lahiri, S. N. (2004), "On Optimal Spatial Subsample Size for Variance Estimation", Annals of Statistics, 32, 1981-2027.
  • Bernholt, T. und Fried, R. (2003), "Computing the Update of the Repeated Median Regression Line in Linear Time", Information Processing Letters 88 (1), 111-117.
  • Davies, P. L., "Approximating Data and Statistical Procedures – I. Approximating Data", Technical Report 07/2003, SFB 475, Universität Dortmund.
  • Davies, P. L. (2003), "Statistical Procedures and Robust Statistics", Estadistica, No. 162-163, 54, 1-27.
  • Davies, P. L., Fried, R. und Gather, U. (2003), "Robust Signal Extraction for On-line Monitoring Data", Journal of Statistical Planning and Inference, erscheint.
  • Dutter, R., Filzmoser, P., Gather, U. und Rousseeuw, P. J. (Hrsg.) (2003), Developments in Robust Statistics: International Conference on Robust Statistics 2001, Physica-Verlag, Heidelberg.
  • Gather, U. und Fried, R. (2003), "Robust Estimation of Scale for Local Linear Temporal Trends", Tatra Mountains Mathematical Publications, 26, 87-101.
  • Gather, U., Kuhnt, S. und Pawlitschko, J. (2003), "Concepts of Outlyingness for Various Data Structures", in: Industrial Mathematics and Statistics, Misra, J. C. (Hrsg.), Narosa Publishing House, New Delhi, India, 545-585.
  • Majidi, A. (2003), "Glatte nichtparametrische Regression unter formerhaltenden Bedingungen", Dissertation, Fachbereich Mathematik und Informatik, Universität Duisburg-Essen.
  • Wellmann, J. und Gather, U. (2003), "Identification of Outliers in a One-way Random Effects Model", Statistical Papers, 44, 335-348.
  • Becker, C. (2002), "Robustness Concepts for Analyzing Structured and Complex Data Sets", Habilitationsschrift, Fachbereich Statistik, Universität Dortmund.
  • Gather, U., Hilker, T. und Becker, C. (2002), "A Note on Outlier Sensitivity of Sliced Inverse Regression", Statistics, 13, 271-281.
  • Gather, U., Imhoff, M. und Fried, R. (2002), "Graphical Models for Multivariate Time Series from Intensive Care Monitoring", Statistics in Medicine, 21, 2685-2702.
  • Hausmann, M., Becker, C., Gather, U. und Güntürkün, O. (2002), "Functional Cerebral Asymmetries During the Menstrual Cycle: A Cross Sectional and Longitudinal Analysis", Neuropsychologia, 40, 808-816.
  • Paris Scholz, S. (2002), "Robustheitskonzepte und -untersuchungen für Schätzer konvexer Körper", Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Schultze, V. und Pawlitschko, J. (2002), "The Identification of Outliers in Exponential Samples”. Statistica Neerlandica, 2002; 56, 1, 41-57.
  • Becker, C., Fried, R. und Gather, U., "Applying Sliced Inverse Regression to Dynamical Data", in: J. Kunert, G. Trenkler (eds.) Mathematical Statistics with Applications in Biometry, Josef Eul, Lohmar (2001), 201-204
  • Becker, C. und Gather, U. (2001), "The Largest Nonidentifiable Outlier: A Comparison of Multivariate Simultaneous Outlier Identification Rules", Computational Statistics & Data Analysis, 36, 119-127.
  • Christmann, A., "Robust Estimation in Generalized Linear Models", in: J. Kunert, G. Trenkler (eds.) Mathematical Statistics with Applications in Biometry, Josef Eul, Lohmar (2001), 215-230
  • Christmann, A. und Rousseeuw, P. J. (2001), "Measuring Overlap in Logistic Regression" Computational Statistics & Data Analysis 37, 65-75.
  • Davies, P. L. und Kovac, A. (2001), "Local Extremes, Runs, Strings and Multiresolution" (with discussion and rejoinder), Annals of Statistics 29, 1-65.
  • Gather, U., und Becker, C. (2001), "The Curse of Dimensionality - A Challenge for Mathematical Statistics", Jahresberichte der deutschen Mathematiker Vereinigung, 103, 19-36.
  • Gather, U., Hilker, T. und Becker, C. (2001), "A Robustified Version of Sliced Inverse Regression", in: Statistics in Genetics and in the Environmental Sciences, L. T. Fernholz, S. Morgenthaler und W. Stahel (Hrsg.), Birkhäuser, Basel, 147-157.
  • Lanius, V. und Pawlitschko, J., "Infuence Functions in the Koziol-Green Model", in: J. Kunert, G. Trenkler (eds.) Mathematical Statisics with Applications in Biometry, Josef Eul, Lohmar (2001), 239-252.
  • Kovac, A., und Silverman, B. W. (2000), "Extending the Scope of Wavelet Regression Methods by Coefficient-dependent Thresholding", Journal of the American Statistical Association, 95, 172-183.
  • Kuhnt, S. (2000), "Ausreißeridentifikation im Loglinearen Poissonmodell für Kontingenztafeln unter Einbeziehung robuster Schätzer", Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Becker, C. und Gather, U. (1999), "The Masking Breakdown Point of Multivariate Outlier Identification Rules", Journal of the American Statistical Association, 94, 947-955.
  • Christmann, A. (1999), "On Group Sequential Tests Based on Robust Location and Scale Estimators in the Two-Sample Problem", Computational Statistics, 14, 339-353.
  • Davies, P. L. und Kovac, A. (1999) "Modality, Runs, Strings and Multiresolution".
  • Gather, U. und Schultze, V. (1999), "Robust Estimation of Scale of an Exponential Distribution", Statistica Neerlandica, 53, 327-341.
  • Kovac, A. (1999), "Wavelet Thresholding for Unequally Spaced Data", Ph.D. Thesis, University of Bristol.
  • Löwendick, M. (1999), "On Smoothing under Bounds and Geometric Constraints," Dissertation, Fachbereich Mathematik & Informatik, Universität GH Essen.
  • Pawlitschko, J. (1999), "A Comparison of Survival Function Estimators in the Koziol-Green Model", Statistics, 32, 277 - 291.
  • Pawlitschko, J. (1999), "Estimation in the Koziol-Green model with Left Truncated Observations”, Sankhya A, 62, 67-79.
  • Wellmann, J. und Gather, U. (1999), "A Note on Contamination Models and Outliers", Communications in Statistics - Theory and Methods, 28, 1793-1802.
  • Christmann, A. (1998), "On Positive Breakdown Point Estimators in Regression Models with Discrete Response Variables," Habilitiationsschrift, Fachbereich Statistik, Universität Dortmund.
  • Davies, P. L. (1998), "On Locally Uniformly Linearizable High Breakdown Location and Scale Functionals", Annals of Statistics, 26, 1103-1125.
  • Gather, U. und Becker, C. (1998), "Convergence Rates in Robust Multivariate Outlier Identification", Results in Mathematics, 34, 101-107.
  • Gather, U., Kamps, U. und Schweitzer, N. (1998), "Characterizations of Distributions via Identically Distributed Functions of Order Statistics," in: Handbook of Statistics 16: Order Statistics and Their Applications, N. Balakrishnan, C. R. Rao (Hrsg.), Elsevier, Amsterdam, 257-290.
  • Gather, U. und Pawlitschko, J. (1998), "Estimating the Survival Function under a Generalized Koziol-Green Model with Partially Informative Censoring", Metrika, 48, 189-207.
  • Gather, U. und Pawlitschko, J. (1998), "On Efron's and Gill's Version of the Kaplan-Meier Integral", Communications in Statistics - Theory and Methods, 27, 181-192.
  • Terbeck, W. und Davies, P. L. (1998), "Interactions and Outliers in the Two-way Analysis of Variance", Annals of Statistics, 26, 1279-1305.
  • Gather, U. und Becker, C. (1997), "Outlier Identification and Robust Methods," in: Maddala, G. S. und Rao, C. R. (eds.), Handbook of Statistics 15: Robust Inference, Elsevier, Amsterdam, 123-143.
  • Gather, U. und Hilker, T. (1997), "A Note on Tyler's Modification of the MAD for the Stahel-Donoho Estimator", Annals of Statistics, 25, 2024-2026.
  • Gather, U. und Kamps, U. (1997), "Characteristic Properties of Generalized Order Statistics from Exponential Distributions", Applicationes Mathematicae, 24, 383-391.
  • Hilker, T. (1997), "Robuste Verfahren zur Dimensionsreduktion in Regressionsmodellen mit unbekannter Linkfunktion", Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Metzner, L. (1997), "Facettierte nichtparametrische Regression," Dissertation, Fachbereich Mathematik & Informatik, Universität GH Essen.
  • Schultze, V. (1997), "Robuste Schätzung und Ausreißeridentifikation in exponentialverteilten Zufallsstichproben," Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Becker, C. (1996), "Bruchpunkt und Bias zur Beurteilung multivariater Ausreißeridentifizierung," Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Christmann, A. (1996), "High breakdown point estimators in logistic regression", in: Robust Statistics, Data Analysis, and Computer Intensive Methods, Rieder, H. (ed.), Springer, New York, 79-89.
  • Pawlitschko, J. (1996), "Die Schätzung einer Überlebensfunktion in Verallgemeinerungen des Koziol-Green-Modells," Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Davies, P. L. (1995), "Data Features", Statistica Neerlandica, 49,185-245.
  • Gather, U. (1995), "Outlier Models and Some Related Inferential Issues", in: The Exponential Distribution: Theory, Methods & Applications, Balakrishnan, N. und Basu, A. P. (eds.), 221-239.
  • Christmann, A. (1994), "Ausreißeridentifikation im logistischen Regressionsmodell", in: Medizinische Informatik. Ein integrierender Teil arztunterstützender Technologien, Pöppl, S. J., Lipinski, H.-G. und Mansky, T. (eds.), MMV Medizin Verlag, München, 478-481.
  • Christmann, A. (1994), "Least median of weighted squares in logistic regression with large strata", Biometrika, 81, 413-417.
  • Christmann, A., Gather, U. und Scholz, G. (1994), "Some Properties of the Length of the Shortest Half", Statistica Neerlandica, 48, 209-213.
  • Wellmann, J. (1994), "Robuste Verfahren und Ausreißeridentifikation beim Modell der Einfachklassifikation mit zufälligen Effekten,” Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Davies, P. L. und Gather, U. (1993), "The Identification of Multiple Outliers (invited paper with discussion and rejoinder)", Journal of the American Statistical Association, 88, 782-801.
  • Christmann, A. (1992), "Ausreißeridentifikation und robuste Schätzer im logistischen Regressionsmodell," Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Boscher, H. (1991), "Behandlung von Ausreißern in linearen Regressionsmodellen,” Dissertation, Fachbereich Statistik, Universität Dortmund.
  • Gajek, L. und Gather, U. (1991), "Estimating a Scale Parameter under Censorship", Statistics, 22, 529-549.
  • Gather, U. (1990), "Modelling the Occurence of Multiple Outliers", Allgemeines Statistisches Archiv, 74, 413-428.