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Workshop : S.A.P.S VI (21-23 Mars 2007)

Workshop : S.A.P.S VI (21-23 Mars 2007)

Workshop : S.A.P.S VI (21-23 Mars 2007)
Statistique Asymptotique des Processus Stochastiques VI

Asymptotical Statistics of Stochastic Processes VI

(Statistique Asymptotique des Processus Stochastiques VI)

Université du Maine, Le Mans, 21-23 March, 2007

Sponsors : Université du Maine, FR 2962 du CNRS Mathématiques des Pays de Loire, CUM,Ministère de l’Education nationale,Conseil Général de la Sarthe and Conseil Régional des Pays de la Loire

Workshop S.A.P.S VI

Participants

  • Bosq Denis, Paris
  • Cawston Suzanne, Angers
  • Chiganski Pavel, Le Mans
  • Dabye Ali, N’djamena
  • Dachian Sergueï, Clermont-Ferrand
  • Dalalyan Arnak, Paris
  • De Gregorio Alessandro, Milano
  • Dehay Dominique, Rennes
  • Farinetto Christian, Le Mans
  • Fukasawa Masaaki, Tokyo
  • Gassem Anis, Paris
  • Golubev Youri, Marseille
  • Gushchin Alexander, Moscow
  • Hayashi Takaki, Keio
  • Höpfner Reinhard, Mainz
  • Iacus Stefano, Milano
  • Khasminskii Rafail, Detroit
  • Kleptsyna Marina, Le Mans
  • Küchler Uwe, Berlin
  • Kutoyants Yury, Le Mans
  • Limnios Nicolaos, Compiegne
  • Liptser Robert, Tel Aviv
  • Lototsky Sergey, Los Angeles
  • Lyasoff Andrew, Boston
  • Malutov Mikhail, Boston
  • Masuda Hiroki, Kyushu
  • Mourid Tahar, Tlemcen
  • Negri Ilia, Milano
  • Nikulin Mikhail, Bordeaux
  • Nishiyama Yoichi, Tokyo
  • Privault Nicolas, Poitier
  • Rabhi Anissa, Paris
  • Shimizu Yasutaka, Osaka
  • Tchirina Anna, Paris
  • Vazquez Emmanuel, Gif-sur-Yvette
  • Veretennikov Alexander, Leeds
  • Vostrikova Ludmila, Angers,
  • Yoshida Nakahiro, Tokyo
  • Zaiats Vladimir, Barcelona

Presentation

Asymptotical Statistics of Stochastic Processes VI

(Statistique Asymptotique des Processus Stochastiques VI)

Université du Maine, Le Mans, 21-23 March, 2007

Sponsors : Université du Maine, FR 2962 du CNRS Mathématiques des Pays de Loire, CUM,Ministère de l’Education nationale,Conseil Général de la Sarthe and Conseil Régional des Pays de la Loire

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 (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).

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 and Le Mans, hence this workshop can be considered as a current three-days seminaire triangulaire traditionally organized by these universities.

Scientific Programme Committee :
U. Küchler, Yu. Kutoyants, N. Yoshida.

Local Organizing Committee :
P. Chigansky, S. Dachian, A. Dalalyan, C. Farinetto, M. Kleptsyna, Yu. Kutoyants (Chair).

Program

SAPS VI
Program of 21, 22, 23 March 2007

Wednesday,
March 21


Morning session chair : R. HÖPFNER

Afternoon session chair : R. LIPTSER

10h00-

10h15

Opening

 

10h15- 10h50

N. YOSHIDA (Tokyo). PLD and SDE with jumps.

Photo

Slides (ps)

10h50 - 11h25

A. DALALYAN (Paris) Second-order asymptotic expansion for the estimator of the covariance of two asynchronously observed diffusion processes

Photo

Slides (pdf)

Break

  

11h35- 12h10

Y. GOLUBEV (Marseille) Ordered processes and high dimensional linear models

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Slides (pdf
)

12h10- 12h45

S. LOTOTSKY (Los Angeles) Parameter estimation in stochastic partial differential equations

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Slides (pdf)

Lunch

  

14h30- 15h05

A. LYASOFF (Boston) Continuous time interpretation of discrete-time market data revisited

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Slides (pdf)

15h05- 15h40

Y. SHIMIZU (Osaka) A practical approach to the inference for jump-diffusions from finite samples

Photo

Slides (pdf)

Break

  

15h50- 16h25

M. FUKASAWA (Tokyo) Space discretized observation from continuous processes

Photo

Slides (pdf)

16h25- 17h00

R. HÖPFNER (Mainz) Estimating diffusion coefficient and drift in a set of neuronal data

Photo

Slides (pdf)

Break

  

17h10- 17h45

S. IACUS (Milano) Estimation for the standard and geometric telegraph process

Photo

Slides (pdf)

17h45- 18h20

N. PRIVAULT (Poitiers) Stein estimation for the drift of Gaussian processes using the Malliavin calculus.

Photo

Thursday,
March 22


Morning session chair : M. MALYUTOV

Afternoon session chair : U. KÜCHLER

09h00-09h35

R. KHASMINSKII (Detroit) Filtering smooth signals for diffusion observed process

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Slides (pdf)

09h35-10h10

P. CHIGANSKI (Le Mans) Filtering in strong noise

Photo

Slides (pdf

)

Break

  

10h25-11h00

R. LIPTSER (Tel Aviv) Tracking volatility

Photo

Slides (pdf

)

11h00-11h35

A. VERETENNIKOV (Leeds) On Markov ergodic diffusion filtering in non-specified cases

Photo

Slides (pdf)

Break

  

11h50-12h25

D. BOSQ (Paris) Adaptive projection estimation for a class of functional parameters

Photo

Slides (pdf)

Lunch

  

14h30-15h05

T. HAYASHI (Keio) Nonsynchronous covariation with application to finance

Photo

Slides (pdf)

15h05-15h40

D. DEHAY (Rennes) Subsampling for non stationary processes

Photo

Slides (pdf)

Break

  

15h50-16h25

Y. NISHIYAMA (Tokyo) Nonparametric estimation and testing time homogenity for Levy process

Photo

Slides (pdf)

16h25-17h00

M. MALYUTOV (Boston) On two discriminators between two classes of random processes

Photo

Slides (pdf)

Friday,
March 23


Morning session chair : Y. KUTOYANTS

Afternoon session chair : N. YOSHIDA

09h00- 09h35

U. KÜCHLER (Berlin) News from sequential analysis for stochastic delay differential equations

Photo

09h35- 10h10

A. GUSHCHIN (Moscow) Parameter estimation for stationary solutions of stochastic delay equations

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Slides (pdf
)

Break

  

10h25- 11h00

T. MOURID (Tlemcen) Statistical problems on the number of delays in SDE

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Slides (pdf)

11h00- 11h35

N. LIMNIOS (Compiegne) Nonparametric estimation in semi-Markov processes

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Slides (pdf)

Break

  

11h50- 12h25

M. NIKULIN (Bordeaux) Statistical analysis of failures of a redundant system with one operating unit and one stand-by unit in warm operating state

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Slides (pdf)

Lunch

  

14h30- 15h05

H. MASUDA (Kyushu) A simple estimator of a discretely observed stable process

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Slides (pdf
)

15h05- 15h40

I. NEGRI (Bergamo) Asymptotical distribution free test for the drift of a diffusion process

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Slides (pdf)

Break

  

15h50- 16h25

S. DACHIAN (Clermont-Ferrand) Hypotheses testing for some point processes

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Slides (pdf)

16h25- 17h00

Y. KUTOYANTS (Le Mans) On Goodness-of-Fit testing for continuous time processes

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Slides (pdf)

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