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Workshop : S.A.P.S X (17-20 Mars 2015)

Workshop : S.A.P.S X (17-20 Mars 2015)

Workshop : S.A.P.S X (17-20 Mars 2015)
Presentation

Asymptotical Statistics of Stochastic Processes X

(Statistique Asymptotique des Processus Stochastiques X)

Université du Maine, Le Mans, 17-20 March, 2015

The purpose of this workshop 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 (equations of mathematical physics, 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 analogue 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).

Scientific Programme Committee :

Yu. Kutoyants, N. Yoshida.

Local Organizing Committee :

M. Ben Abdeddaiem, A. Brouste, S. Dachian, S. Gasparyan, M. Kleptsyna, Yu. Kutoyants (Chair), A. Top, V. Zaiats

Sponsors : Faculté des Sciences et Techniques, LMM, Le Mans Métropole, Conseil Général de la Sarthe, Université du Maine, FR 2962 du CNRS Mathématiques des Pays de Loire, Conseil Régional des Pays de la Loire, ANR STOSYMAP

Contact :

Yury A. Kutoyants
Université du Maine
Laboratoire Manceau de Mathématiques
Avenue Olivier Messiaen
72085 Le Mans CEDEX 9
Tel : (33) (0) 2 43 83 32 19
E-mail : Yury.Kutoyants @ univ-lemans.fr

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Participants

  • Ben Abdeddaiem Marwa, Le Mans
  • Bosq Denis, Paris
  • Brouste Alexandre, Le Mans
  • Burnashev Marat, Moscow
  • Cai Chunhao, Tianjin
  • Chernoyarov Oleg, Moscow
  • Chigansky Pavel, Jerusalem
  • Cialenco Igor, Chicago
  • Dabye Ali, Saint Louis
  • Dachian Sergueï, Clermont-Ferrand
  • Dalalyan Arnak, Paris
  • Dehay Dominique, Rennes
  • Djellout Hacene, Clermont-Ferrand
  • Ermakov Mikhail, S. Petersburg
  • Farinetto Christian, Le Mans
  • Gasparyan Samvel, Le Mans
  • Gloter Arnaud, Evry
  • Golubev Yuri, Marseille
  • Gushchin Alexander, Moscow
  • Höpfner Reinhard, Mainz
  • Ibragimov Ildar, St. Petersburg
  • Kamatani, Kengo, Osaka
  • Kleptsyna Marina, Le Mans
  • Koike Yuta, Tokyo
  • Korso Malika, Tlemcen
  • Kutoyants Yury, Le Mans
  • Liptser Robert, Tel Aviv
  • Litvinov Sergey, Moscow
  • Lototsky Sergey, Los Angeles
  • Malyutov Mikhail, Boston
  • Martynov Genadii, Moscow
  • Masuda Hiroki, Fukuoka
  • Mishura Yulia, Kiev
  • Motrunich Anastasiia, Le Mans
  • Mourid Tahar, Tlemcen
  • Negri Ilia, Bergamo
  • Nikulin Mikhail, Bordeaux
  • Ogihara Tappei , Tokyo
  • Pergamenshchikov Sergei, Rouen
  • Podolskij Mark, Aarhus
  • Popier Alexandre, Le Mans
  • Prior Ana, Lisbon
  • Ralchenko Kostiantyn, Kiev
  • Rozanov Artem, Moscow
  • Sai Si Thu Min, Moscow
  • Salnikova Aleksandra, Moscow
  • Shepelev Dmitrii, Moscow
  • Shimizu Yasutaka, Tokyo
  • Solev Valentin, St. Petersburg
  • Top Alioune, Saint Louis
  • Uchida Masayuki, Osaka
  • Vostrikova Lyudmila, Angers
  • Yang Lin, Fuzhou
  • Yoshida Nakahiro,Tokyo
  • Zaiats Vladimir, Barcelona
  • Zhou Li, Weihai

Program

Asymptotical Statistics of Stochastic Processes X

(Statistique Asymptotique des Processus Stochastiques X)

Le Mans, 17 - 20 March, 2015

Tuesday, March 17

  • Morning session chair : Podolskij M.
  • Afternoon session chair : Gushchin A.

09h00 - 09h10

Opening

09h10 - 09h45

Yoshida N. Ultra high frequency data and statistical inference : back to the continuous-time paradigm.

Slides

Photo

09h45 - 10h20

Koike Y. Detecting infinitesimal lead-lag effects from noisy high-frequency data.

Slides

Photo

10h20 - 10h40

Break

10h40 - 11h15

Küchler U. Sequential parameter estimators with guaranteed

accuracy for delay differential equations.

Slides

Photo

11h15 - 11h50

Gushchin A. Continuity of stationary solutions of delay differential equations driven by Lévy processes.

Slides

Photo

11h50 - 11h55

Break

11h55 - 12h30

Höpfner R. Harris recurrence for strongly degenerate stochastic systems, with application to stochastic Hodgkin-Huxley models.

Slides

Photo

12h30 - 14h00

Lunch

14h00 - 14h35

Negri I. Z-process method for statistical change point problems.

Slides

Photo

14h35 - 15h10

Bosq D. Detecting instants of jumps and estimating intensity of jumps from continuous or discrete data.

Slides

Photo

15h10 - 15h30

Break

15h30 - 16h05

Dachian S. On hypotheses testing for Poisson processes : regular and singular cases.

Slides

Photo

16h05 - 16h40

Chigansky P. Inference in models with mixed fractional Brownian motion part II.

Slides

Photo

16h40 - 16h50

Break

16h50 - 17h25

Mishura Yu. Consistency of the drift parameter estimator for the discretized Ornstein-Uhlenbeck process involving fBm with Hurst index  \textit{H} \in (0, {1\over 2} ) \textit{H} \in (0, {1\over 2} )

.

Slides

Photo

17h25 - 18h00

Ralchenko K. Drift parameter estimation in models with fractional Brownian motion by discrete observations.

Slides

Photo

Wednesday, March 18

  • Morning session chair : Höpfner R.
  • Afternoon session chair : Küchler U.

09h00 - 09h35

Ibragimov I. On the estimation of analytic intensity density Poisson random fields.

Slides

Photo

09h35 - 10h10

Golubev Yu.. Minimax interpolation of smooth random processes.

Slides

Photo

10h10 - 10h30

Break

10h30 - 11h05

Dalalyan A. Langevin diffusion and approximate sampling from a smooth and log-concave density.

Slides

Photo

11h05 - 11h40

Ogihara T. Parametric inference for diffusion processes with noisy, nonsynchronous observations.

Slides

Photo

11h40 - 11h55

Break

11h55 - 12h30

Cialenco I. Hypothesis testing for Stochastic PDEs.

Slides

Photo

12h30 - 14h00

Lunch

14h00 - 14h35

Bercu B. Large deviations for the Ornstein-Uhlenbeck process without tears.

Slides

Photo

14h35 - 15h10

Lototsky S. Parameter estimation in second-order continuous time Gaussian autoregressions.

Slides

Photo

15h10 - 15h30

Break

15h30 - 16h05

Kamatani K. Efficient strategy of MCMC in high-dimensional and its application to diffusion process.

Slides

Photo

16h05 - 16h40

Dehay D. Block bootstrap for Poisson-sampled almost periodic processes.

Slides

Photo

16h40 - 17h10

Mourid T. Parametric estimation in non recurrent diffusion processes.

Slides

Photo

17h10 - 17h20

Break

17h20 - 18h00

Poster Session Ben Abdeddaiem M., Cai C., Gasparyan S., Korso M., Motrunich A., Rozanov A.E. and Litvinov S.V., Top A., Yang L., Zhou L.

  

Thursday, March 19

  • Morning session chair : Mishura Y.

09h00 - 09h35

Gloter A. Local asymptotic mixed normality property for discretely observed SDE driven by stable Lévy processes.

Slides

Photo

09h35 - 10h10

Masuda H. On variants of stable quasi-likelihood for Lévy driven SDE.

Slides

Photo

10h10 - 10h30

Break

10h30 - 11h05

Podolskij M. Limit theorems for stationary increments Lévy driven moving average processes.

Slides

Photo

11h05 - 11h40

Shimizu Y. LSE-type estimation for stochastic processes with small Lévy noise.

Slides

Photo

11h40 - 11h45

Break

11h45 - 12h20

Pergamenchtchikov S. Efficient pointwise estimation based on discrete data in ergodic nonparametric diffusions.

Slides

Photo

12h20 - 14h00

Lunch

15h00 - 17h00

Excursion in "Vieux Mans"

20h00

Conference Dinner

Photos

Friday, March 20

  • Morning session chair : Uchida M.
  • Afternoon session chair : Yoshida N.

09h00 - 09h35

Burnashev M. Some comparison theorems for minimax detection of Gaussian stochastic signals.

Slides

Photo

09h35 - 10h10

Ermakov M. On consistent hypothesis testing.

Slides

Photo

10h10 - 10h30

Break

10h30 - 11h05

Martynov G. Cramér-von Mises test for Gaussian distribution in Hilbert Space.

Slides

Photo

11h05 - 11h40

Solev V. Vector Hunt-Mackenhoupt-Wheeden condition and an estimating problem.

Slides

Photo

11h40 - 11h45

Break

11h45 - 12h20

Dabye A. On minimum Lp -distance estimation for inhomogeneous Poisson processes.

Slides

Photo

12h20 - 14h00

Lunch

14h00 - 14h35

Zaiats V. On asymptotically efficient estimation in partially observed systems.

Slides

Photo

14h35 - 15h10

Uchida M. Hybrid multi-step estimation of the volatility for stochastic regression models.

Slides

Photo

15h10 - 15h45

Kutoyants Yu. On multi-step MLE-processes for some stochastic models.

Slides

Photo

15h45

Closing

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