AG Stochastik (Winter Semester 2014/15)
- Lecturer: Prof. Dr. Nicole Bäuerle, Prof. Dr. Vicky Fasen-Hartmann, Prof. Dr. Norbert Henze, Prof. Dr. Daniel Hug, JProf. Dr. Claudia Kirch, Prof. Dr. Günter Last
- Classes: Seminar (0127200)
- Weekly hours: 2
| Schedule | ||
|---|---|---|
| Seminar: | Tuesday 15:45-17:15 | SR 2.67 |
| Tuesday 15:45-17:15 | 1C-04 | |
| Lecturers | ||
|---|---|---|
| Lecturer | Prof. Dr. Nicole Bäuerle | |
| Office hours: by appointment. | ||
| Room 2.016 Kollegiengebäude Mathematik (20.30) | ||
| Email: nicole.baeuerle@kit.edu | Lecturer | Prof. Dr. Vicky Fasen-Hartmann |
| Office hours: On appointment. | ||
| Room 2.053 Kollegiengebäude Mathematik (20.30) | ||
| Email: vicky.fasen@kit.edu | Lecturer | Prof. Dr. Norbert Henze |
| Office hours: Tuesday 10-11am, on appointment. | ||
| Room 2.020, Sekretariat 2.002 Kollegiengebäude Mathematik (20.30) | ||
| Email: henze@kit.edu | Lecturer | Prof. Dr. Daniel Hug |
| Office hours: Nach Vereinbarung. | ||
| Room 2.051 Kollegiengebäude Mathematik (20.30) | ||
| Email: daniel.hug@kit.edu | Lecturer | JProf. Dr. Claudia Kirch |
| Office hours: Nach Vereinbarung. | ||
| Room Kollegiengebäude Mathematik (20.30) | ||
| Email: claudia.kirch@kit.edu | Lecturer | Prof. Dr. Günter Last |
| Office hours: by appointment. | ||
| Room 2.001, Sekretariat 2.056 Kollegiengebäude Mathematik (20.30) | ||
| Email: guenter.last@kit.edu | ||
Dienstag, 10.02.2015
15.45 Uhr Prof. Dr. Anne Leucht (Technische Universität Braunschweig):
Dienstag, 03.02.2015
15.45 Uhr Prof. Dr. Ralph Neininger (J.W. Goethe-Universität Frankfurt):
Dienstag, 27.01.2015
15.45 Uhr Dr. Cornelia Wichelhaus (Universität Heidelberg ):
Dienstag, 20.01.2015
15.45 Uhr Prof. Dr. Enkelejd Hashorva (Université de Lausanne):
Dienstag, 13.01.2015
15.45 Uhr Prof. Dr. Marie Hušková (Karls-Universität Prag):
Tests for Time Series of Counts Based on the Probability Generating Function
Abstract: Two type of testing problems will be considered:
(a) goodness-of-fit type tests for distributional assumptions concerning count time series models.
(b) Sequential tests for detecting structural changes in count time series models.
The proposed test statistics are based on the empirical probability generating function. Special emphasis is given to the popular models of integer autoregression and Poisson autoregression. The asymptotic proper-ties of these test statistics are studied under the null hypothesis as well as under alternatives. A Monte Carlo power study on bootstrap versions of the new methods is included as well as realdata examples.
The talk is based on the joint works with S. Hudecová and S. Meintanis."
Dienstag, 16.12.2014
15.45 Uhr Prof. Dr. Martin Schlather (Universität Mannheim):
Ein Ansatz zur exakten Simulation max-stabiler Prozesse
Abstract: The simulation method for mixed moving maxima processes suggested by Schlather (2002) has the disadvantage of being exact only for bounded storm functions with compact support. Here, we present a new, exact method that does not have these restrictions. We show that the new method is to some extend optimal, and demonstrate by an example that the new, exact method can be faster than the approximation by Schlather (2002) for storm function with non-compact support. While the implementation of the former algorithm has been straightforward, the new method needs some more effort for coding. The method has the potential of simulating Brown-Resnick processes exactly."
Dienstag, 25.11.2014
15.45 Uhr M.Sc. Jan Weis (Institut für Stochastik, KIT):
Integralgeometrie von translationsinvarianten Tensorbewertungen
Abstract: Integralgeometrische Formeln sind schon seit Langem für reellwertige Bewertungen auf den konvexen Kör-pern von Interesse. Im tensorwertigen Fall haben Hug, Schneider und Schuster 2008 eine erste Darstellung speziell für Crofton-Integrale gefunden. In diesem Vortrag werden wir solche Crofton-Formeln für translati-onsinvariante intrinsische Tensorbewertungen herleiten und vereinfachen. Daraus können wir dann auf ein-fache Weise weitere Spezialfälle folgern, die teilweise auf anderem Weg von anderen Autoren schon gezeigt worden sind.
Dienstag, 18.11.2014
15.45 Uhr Prof. Dr. Steffen Dereich (Universität Münster):
Condensation in preferential attachment models with fitness
Abstract: A popular model for complex networks is the preferential attachment model which gained popularity in the end of the 90’s since it gives a simple explanation for the appearance of power laws in real world networks. Mathematically, one considers a sequence of random graphs that is built dynamically according to a simple rule. In each step a new vertex is added and linked randomly by a random or deterministic number of edges to the vertices already present in the system. In this process, links to vertices with high degree are preferred. A variant of the model, additionally, assigns each vertex a random positive fitness (say a -distributed value) which has a linear impact on its attractivity in the network formation. Such network models show a phase transition for compactly supported . In the condensation phase, in the limit, there is a comparably small set of vertices (the condensate) that attracts a constant fraction of new links established by new vertices. This condensation effect was observed for the first time by Bianconi and Bara´ asi in 2001, where it was coined Bose-Einstein phase due to similarities to Bose-Einstein condensation. The fitness of the vertices in the condensate gradually converges to the essential supremum of and in the talk we discuss the dynamics of this process.