Workshop : S.A.P.S V (6-8 Janvier 2005)
Workshop : S.A.P.S V (6-8 Janvier 2005)Workshop : S.A.P.S V (6-8 Janvier 2005)
STATISTIQUE ASYMPTOTIQUE DES PROCESSUS STOCHASTIQUES V
Asymptotical Statistics of Stochastic Processes V
(Statistique Asymptotique des Processus Stochastiques VI)
Université du Maine, Le Mans, 6-8 January, 2005
Sponsors : Université du Maine, CUM,Conseil Général de la Sarthe and Conseil Régional des Pays de la Loire
Workshop S.A.P.S V
Participants
- Blanke Delphine, Paris
- Bosq Denis, Paris
- Campillo Fabien, Rennes
- Chebana Fateh, Le Mans
- Chiganski Pavel, Tel Aviv
- Dabye Ali, N’djamena
- Dachian Sergueï, Clermont-Ferrand
- Dalalyan Arnak, Paris
- Dehay Dominique, Rennes
- Delattre Sylvain, Paris
- Deshayes Jean, Rennes
- Drost Feico, Tilburg
- Fazli Khosrov, Le Mans
- Forman Julie, Copenhagen
- Genon-Catalot Valentine, Paris
- Gombani Andrea, Padova
- Höpfner Reinhard, Mainz
- Iacus Stefano, Milano
- Jacod Jean, Paris
- Khodjabagian Seyran, Hannover
- Kleptsyna Marina, Le Mans
- Kordzakhia Nino, Sydney
- Küchler Uwe, Berlin
- Kutoyants Yury, Le Mans
- Laredo Catherine, Jouy-en-Josas
- Le Gland Francois, Rennes
- Loukianov Oleg, Evry
- Loukianova Daria, Evry
- Masuda Hiroki, Fukuoka
- Nahapetyan Boris, Yerevan
- Negri Ilia, Milano
- Nishiyama Yoichi, Tokyo
- Novikov Alex, Sydney
- Sørensen Michael, Copenhagen
- Spreij Peter, Amsterdam
- Uchida Masayuki, Fukuoka
- Vostrikova Ludmila, Angers
- Wefelmeyer Wolfgang, Köln
- Yoshida Nakahiro, Tokyo
- Zayats Vladimir, Barcelona
Présentation
Asymptotical Statistics of Stochastic Processes V
(Statistique Asymptotique des Processus Stochastiques VI)
Université du Maine, Le Mans, 6-8 January, 2005
Sponsors : Université du Maine, CUM,Conseil Général de la Sarthe and Conseil Régional des Pays de la Loire
The purpose of this workshop (which is a continuation of DYNSTOCH meetings) is to stimulate research in statistical inference for continuous time stochastic processes. This branch of mathematical statistics attracts more and more attention of the statisticians and probabilists because first : the real systems are often well described by the continuous time mathematical models (point processes, diffusion processes, stochastic differential equations with partial derivatives, stable processes etc.) and the second : the diversity of the models and the diversity of the statements of the statistical problems make these models quite attractive for the mathematicians because all these allow to obtain many new results which sometimes have no analog in discrete time models.
Note that solutions obtained for continuous time models can be valid for discrete schemes of observation too. The computer realizations of the statistical algorithms (real data applications) requires that a special attention have to be payed to the effects due to discretization of continuous-time trajectories. Therefore, we wait that one (important) part of the talks will be devoted to statistical inference for discrete time observations (of continuous time systems).
Note as well, that statistical problems for stochastic processes are in the field of interests of the research teams of the universities of Rennes, Angers, Le Mans and Brest, hence this workshop can be considered as a current three-days seminaire triangulaire traditionally organized by these universities.
Scientific Programme Committee :
R. Höpfner, J. Jacod, U. Küchler, Yu. Kutoyants M. Sørensen, N. Yoshida.
Local Organizing Committee :
S. Dachian, A. Dalalyan, K. Fazli, M. Kleptsyna, S. Khodjabagian, Yu. Kutoyants (Chair).
Program
Morning session chair : M. Sørensen
Afternoon session chair : U. Küchler
10h30 - 10h40 |
Opening |
|
10h40 - 11h20 |
N. Yoshida (Tokyo). "Polynomial type large deviation inequality for a statistical random field and its applications." | |
11h20 - 12h00 |
D. Bosq (Paris). "On statistical prediction." | |
Lunch | ||
14h00 - 14h40 |
W. Wefelmeyer (Köln). "Imputing responses that are not missing." (Joint work with U.U. Mueller and A. Schick.) | |
14h40 - 15h20 |
V. Zaiats (Barcelona). "Irregular sampling in estimation of the response function." |
Slides (pdf) |
Break | ||
15h40 - 16h20 |
A. Dalalyan (Paris). "Asymptotic statistical equivalence for multidimensional ergodic diffusions." (Joint work with M. Reiss.) | |
16h20 - 17h00 |
M. Uchida (Fukuoka). "AIC for ergodic diffusion processes from discrete observations." (Joint work with N. Yoshida.) |
Slides (pdf)) |
Coffee break | ||
17h20 - 18h00 |
A. Novikov (Sydney). "Asymptotic properties of parameter estimators of stationary long memory processes." (Joint work with N. Kordzakhia.) |
Slides (pdf) |
Morning session chair : R. Höpfner
Afternoon session chair : W. Wefelmeyer
09h00 - 09h40 |
J. Jacod (Paris). "Testing the multiplicity of a diffusion". | |
09h40 - 10h20 |
S. Dachian (Clermont-Ferrand). "Hypotheses testing. Poisson versus self-exciting and self-correcting." (Joint work with Yu. Kutoyants.) | |
Break |
|
|
10h40 - 11h20 |
K. Fazli (Le Mans). "On two problems of hypotheses testing for Poisson processes." | |
11h20 - 12h00 |
D. Dehay (Rennes). "On invariant distribution function estimation for a class of stationary processes." | |
Lunch |
|
|
14h00 - 14h40 |
P. Chiganski (Tel Aviv). "Asymptotic stability of nonlinear filters." |
Slides (pdf) |
14h40 - 15h20 |
F. Le Gland (Rennes). "Smooth interacting Monte Carlo approximations of contrast functions."(Joint work with N. Caylus, A. Guyader and N. Oudjane.) |
Slides (pdf) |
Break |
|
|
15h40 - 16h20 |
D. Blanke (Paris). "Adaptive sampling schemes for density estimation." |
Slides (pdf) |
16h20 - 17h00 |
L. Vostrikova (Angers). "Enlargement of filtration and additional information in pricing models."(Joint work with E. Valkeila and D. Gasbarra) |
Slides (pdf) |
Coffee break |
|
|
17h20 - 18h00 |
H. Masuda (Fukuoka). "Second order double Edgeworth expansion in a filtering model based on discrete data." (Joint work with N. Yoshida.) |
Slides (pdf) |
Chair : N. Yoshida
09h00 - 09h40 |
M. Sørensen (Copenhagen). "Prediction-based estimating functions for integrated diffusions, stochastic delay differential equations and diffusion compartment models." | |
09h40 - 10h20 |
R. Höpfner (Mainz). "A statistical model for information processing in large systems of neurons." (Joint work with K. Brodda.) | |
Break | ||
10h40 - 11h20 |
Y. Nishiyama (Tokyo). "Change point problem for diffusion processes." |
Slides (pdf) |
11h20 - 12h00 |
Yu. Kutoyants (Le Mans). "On delay estimation and testing for SDE". | |
Lunch |