83 citations
- Institute of Rural Management AnandIN17 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Laboratoire de Mathématiques Raphaël SalemFR2 papers
- Roma Tre UniversityIT2 papers
- Université de StrasbourgFR2 papers
- University of Rome Tor VergataIT2 papers
- Christian-Albrechts-Universität zu KielDE1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- École Polytechnique Fédérale de LausanneCH1 paper
- Friedrich-Alexander-Universität Erlangen-NürnbergDE1 paper
- Hôpital Civil, StrasbourgFR1 paper
9 papers · 1 filter
Une classe d'espaces préhomogènes de type parabolique faiblement sphériques
Iris Muller
For absolutely simple, finite-dimensional Lie algebras g of rank at least 2, defined over a local field of characteristic 0 and admitting a graduation: g=g(-2)+g(-1)+g(0)+g(1)+g(2)…
Adaptive asymptotically efficient estimation in heteroscedastic nonparametric regression via model selection
Leonid Galtchouk, Serguey Pergamenshchikov
The paper deals with asymptotic properties of the adaptive procedure proposed in the author paper, 2007, for estimating a unknown nonparametric regression. We prove that this proce…
On asymptotic normality of sequential LS-estimates of unstable autoregressive processes
Leonid Galtchouk, Victor Konev
For estimating the unknown parameters in an unstable autoregressive AR(p), the paper proposes sequential least squares estimates with a special stopping time defined by the trace o…
Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry
Athanase Papadopoulos, Marc Troyanov
David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain in the Euclidean (or projective) space. This metric is known to be Fins…
On the distance between separatrices for the discretized pendulum equation
Hocine Sellama
We consider the discretization q(t+ε)+q(t-ε)-2q(t)=ε^{2}\sin\big(q(t)\big), a small parameter, of the pendulum equation ; in system form, we have the discr…
Adaptive sequential estimation for ergodic diffusion processes in quadratic metric. Part 2: Asymptotic efficiency
Leonid Galtchouk, Serguey Pergamenshchikov
Asymptotic efficiency is proved for the constructed in part 1 procedure, i.e. Pinsker's constant is found in the asymptotic lower bound for the minimax quadratic risk. It is shown…