Staff

Dr Jochen Einbeck, Ph.D.

Personal web page

Contact Dr Jochen Einbeck (email at jochen.einbeck@durham.ac.uk)

Related Links

• Software
• Talks and Posters

Research Groups

• Statistics
• Statistics and Probability Group

Research Interests

• Nonparametric regression
• Principal curves
• Random effect modelling

Teaching Areas

• Computer Lab Statistics I (13 hours/year.)
• Lecture Bayesian Statistics III/IV (22 hours/year.)
• Postgraduate "Training Week" on Nonparametric smoothing (20 hours/year.)
• Tutorial DAMS I (10 hours/year.)
• Tutorial Statistics I (42 hours/year.)

Selected Publications

Journal papers: academic

• Einbeck, Jochen & Taylor, James (2012). A number-of-modes reference rule for density estimation under multimodality. Statistica Neerlandica
• Taylor, James & Einbeck, Jochen (2012). Challenging the curse of dimensionality in multivariate local linear regression. Computational Statistics
• Meintanis, Simos & Einbeck, Jochen (2012). Goodness-of-fit tests in semi-linear models. Statistics and Computing 22(4): 967-979.
• Einbeck, Jochen (2011). Bandwidth Selection for Mean-shift based Unsupervised Learning Techniques: a Unified Approach via Self-coverage. Journal of Pattern Recognition Research 6(2): 175-192.
• Einbeck, Jochen & Dwyer, Jo (2011). Using principal curves to analyze traffic patterns on freeways. Transportmetrica 7(3): 229-246.
• Einbeck, Jochen, Evers, Ludger & Powell, Benedict (2010). Data compression and regression through local principal curves and surfaces. International Journal of Neural Systems 20(3): 177-192.
• Einbeck, Jochen & Augustin, Thomas (2009). On design-weighted local fitting and its relation to the Horvitz-Thompson estimator. Statistica Sinica 19(1): 103-123.
• Einbeck, Jochen, Hinde, John & Darnell, Ross (2007). A new package for fitting random effect models. R News 7(1): 26-30.
• Newell, John, Higgins, D., Madden, N. Cruickshank, J., Einbeck, J., McMillan, K. & McDonald, R (2007). Software for calculating blood lactate endurance markers. Journal of Sports Sciences 25(12): 1403-1409.
• Fried, Roland, Einbeck, Jochen & Gather, Ursula (2007). Weighted Repeated Median Smoothing and Filtering. Journal of the American Statistical Association 102(480): 1300-1308.
• Einbeck, Jochen & Hinde, John (2006). A note on NPML estimation for exponential family regression models with unspecified dispersion parameter. Austrian Journal of Statistics 35(2&3): 233-243.
• Einbeck, Jochen & Tutz, Gerhard (2006). Modelling beyond regression functions: An application of multimodal regression to speed-flow data. Applied statistics a journal of the Royal Statistical Society 55(4): 461-475.
• Einbeck, Jochen, Tutz, Gerhard & Evers, Ludger (2005). Local Principal Curves. Statistics and Computing 15(4): 301-313.
• Einbeck, Jochen (2004). A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem. International Journal of Pure and Applied Mathematics 14(1): 69-74.
• Einbeck, Jochen (2004). Local fitting with a power basis. REVSTAT- Statistical Journal 2(2): 102-126.
• Einbeck, Jochen, Andre, Carmen D.S. & Singer, Julio M. (2004). Local Smoothing with Robustness against outlying Predictors. Environmetrics 15(6): 541-554.
• Einbeck, Jochen (2003). Multivariate Local Fitting with General Basis Functions. Computational Statistics 18(2): 185-203.
• Einbeck, Jochen & Kauermann, Goeran (2003). Online Monitoring with Local Smoothing Methods and Adaptive Ridging. Journal of Statistical Computation and Simulation 73(12): 913-929.

Edited works: contributions

• Einbeck, Jochen, Evers, Ludger & Bailer-Jones, Coryn (2008). Representing complex data using localized principal components with application to astronomical data. In Lecture Notes in Computational Science and Engineering. Gorban, A Kegl, B Wunsch, D & Zinovyev, A Heidelberg: Springer-Verlag. 58: 180-204.

Edited works: conference proceedings

• Lawson, Antony & Einbeck, Jochen (2012). Generative Linear Mixture Modelling. International Workshop on Statistical Modelling, Prague, Tribun EU.
• Taylor, James & Einbeck, Jochen (2011). Multivariate regression smoothing through the 'fallling net'. 26th International Workshop on Statistical Modelling, Valencia, Spain, Universitat de Valencia.
• Zayed, Mohammad & Einbeck, Jochen (2010). Constructing Economic Summary Indexes via Principal Curves. COMPSTAT 2010, Paris, France, Springer.
• Einbeck, J, Evers, L & Hinchliff, K (2010). Data compression and regression based on local principal curves. 32nd annual Conference of the German Classification Society, Hamburg, Springer.
• Einbeck, Jochen & Evers, Ludger (2010). Localized regression on principal manifolds. 25th International Workshop on Statistical Modelling, Glasgow, University of Glasgow.
• Taylor, James & Einbeck, Jochen (2010). Strategies for local smoothing in high dimensions: using density thresholds and adapted GCV. 25th International Workshop on Statistical Modelling, Glasgow, Scotland, University of Glasgow.
• Sofroniou, Nick, Hoad, Dominique & Einbeck, Jochen (2008). League tables for literacy survey data based on random effect models. 23rd International Workshop on Statistical Modelling, Utrecht, The Netherlands.
• Newell, John. & Einbeck, Jochen. (2007). A comparative study of nonparametric derivative estimators. 22nd International Workshop on Statistical Modelling, Barcelona, Spain., IDESCAT.
• Einbeck, Jochen, Augustin, Thomas & Singer, Julio M. (2007). Smoothing, Sampling, and Basu's elephants. 22nd International Workshop on Statistical Modelling, Barcelona, Spain., IDESCAT.
• Sofroniou, Nick, Einbeck, Jochen & Hinde, John (2006). Analyzing Irish suicide rates with mixture models. 21th International Workshop on Statistical Modelling, Galway, Ireland, National University of Ireland.
• Einbeck, Jochen & Tutz, Gerhard (2006). The fitting of multifunctions: an approach to nonparametric multimodal regression. COMPSTAT, Rome, Italy., Physica-Verlag.
• Einbeck, Jochen, Tutz, Gerhard & Evers, Ludger (2005). Exploring Multivariate Data Structures with Local Principal Curves. 28th Annual Conference of the German Classification Society, Magedeburg, Germany, Springer-Verlag.
• Newell, John, Einbeck, Jochen , Madden, Niall & McMillan, Kenny (2005). Model free endurance markers based on the second derivative of blood lactate curves. 20th International Workshop on Statistical Modelling, Sydney, Australia, University of Western Sydney.

Theses: PhD

• Jochen Einbeck (2003). Local Smoothing Methods for the Analysis of Multivariate Complex Data Structures. Institut fuer Statistik. Munich, LMU Muenchen. PhD.

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