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Hans Rudolf Lerche

Prof. Dr. Hans Rudolf Lerche
 
Prof. Dr. Hans Rudolf Lerche
Department of Mathematical Stochastics
University of Freiburg
Eckerstraße 1
D-79104 Freiburg
Germany

Tel.  +49 761 203 5662
Fax  +49 761 203 5661
e-mail  lerche@stochastik.uni-freiburg.de
 

Affiliation

 
 
  Member of the FDM (Freiburg centre for data analysis and modelling)
 

Research subjects

 
 
  Statistics of Stochastic Processes, Sequential Analysis
  Bayes Statistics
Optimal Stopping
Boundary Crossing Problems of Stochastic Processes
Biometry and Epidemiology
 

Recent Presentations

 
 
  Statistik zwischen Manipulation und Wahrheit, University of Freiburg , November 20, 2009 (pdf)
  Some Generalized Parking Problems, University of Turku (Finland) , June 25, 2009 (pdf)
  A Martingale Approach to Optimal Stopping, University of Manchester (United Kingdom), January 27, 2006 (pdf)
  Markov-Ketten mit absorbierenden Zuständen, Schnupperstudium Mathematik, University of Freiburg, August 4, 2009 (pdf) weitere Vorlesungsskipte
 

Publications (a selection)

 
 
  Sequential Detection of Drift Change for Brownian Motion with Unknown Sign, with I. Maahs, Georgian Mathematical Journal 15, 713-730 (2008).
  Optimal stopping via measure transformation: the Beibel-Lerche approach, with M. Urusov, Stochastics 79, 275-291 (2007).
  Sequential Bayes Detection of Trend Changes, with M. Beibel, Foundations of Statistical Inference, Proceedings of the Shoresh Conference 2000, Eds.: Y. Haitovsky, H.R. Lerche, Y. Ritov, Physika Verlag, 117-130 (2003).
Maximally Selected Rank Statistics for Dose-Response Problems, with B. Lausen und M. Schumacher, Biometrical Journal 44, 1-17 (2002). (pdf)
Optimal stopping of regular diffusions under random discounting, with M. Beibel, Theory of Probability and Its Applications 45, 657-669 (2000). (pdf)
A New Look at Optimal Stopping Problems related to Mathematical Finance, with M. Beibel, Statistica Sinica 7, 93-108 (1997). (pdf)
A nonlinear parking problem, with M. Woodroofe und R. Keener, Sequential Analysis 14, 247-272 (1995).
The Blackwell prediction algorithm for infinite 0-1 sequences, and a generalization, with J. Sarkar, Statistical Decision Theory and Related Topics V, Eds.: S.S. Gupta, J.O. Berger, Springer Verlag, 503-511 (1994). (pdf)
A generalized parking problem, with R. Keener und M. Woodroofe, Statistical Decision Theory and Related Topics V, Eds.: S.S. Gupta, J.O. Berger, Springer Verlag, 523-532 (1994). (pdf)
A refined large deviation principle for Brownian motion and its application to boundary crossing, with M. Beibel, Stochastic Processes and Their Applications, 51, 269-276 (1994).
Approximate Exit Probabilities for a Brownian Bridge on a Short Time Interval and Applications, with D. Siegmund, Adv. Appl. Probab., 21, 1-19 (1989). (pdf)
An optimal property of the repeated significance test, Proc. Nat. Acad. Sci. U.S.A. 83, 1546-1548 (1986). (pdf)
The shape of Bayes tests of power one, Annals of Statistics 14, 1030-1048 (1986).
Asymptotic densities of stopping times associated with tests of power one, with C. Jennen, Z. Wahrscheinlichkeitstheorie verw. Geb. 61, 501-511 (1982).
Fluctuations of posterior distributions of quadratically differentiable experiments, Z. Wahrscheinlichkeitstheorie verw. Geb. 59, 223-238 (1982).
First exit densities of Brownian motion through one-sided moving boundaries, with C. Jennen, Z. Wahrscheinlichkeitstheorie verw. Geb. 55, 133-148 (1981).
The law of the iterated logarithm for posterior distributions, "Proceedings of the Conference on Probability Theory", Brasov, Romania 1979, 347-355 (1981).
 

Monographs

 
 
  Foundations of Statistical Inference, Proceedings of the Shoresh Conference 2000, jointly with Y. Haitovsky and Y. Ritov, Physika Verlag (2003), ISBN 3-7908-0047-3. (Cover)
  Boundary Crossing of Brownian Motion, Lecture Notes in Statistics, Vol. 40, Springer-Verlag, Heidelberg-New York (1986), ISBN 3-540-96433-9, ISBN 0-387-96433-9. (pdf, 3.4MB)
 

Testimonials

 
 
  Stellungnahme zu den Untersuchungen über Kindersterblichkeit in Bayern nach dem Reaktorunfall von Tschernobyl, Gutachten für den Umweltausschuß des Bayerischen Landtags (1998), with M. Beibel.
  back last update   August 6, 2009