Christopher S. Withers, Saralees Nadarajah (2013)
ESAIM: Probability and Statistics
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Consider testing : ∈ against : ∈ for a random sample , ..., from , where and are two disjoint sets of cdfs on ℝ = (−∞, ∞). Two non-local types of efficiencies, referred to as the fixed- and fixed- efficiencies, are introduced for this two-hypothesis testing situation. Theoretical tools are developed to evaluate these efficiencies for some of the most...
F. Ricceri, C. Fassino, G. Matullo, M. Roggero, M.-L. Torrente, P. Vineis, L. Terracini (2012)
Mathematical Modelling of Natural Phenomena
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Ivan Corwin, Patrik L. Ferrari, Sandrine Péché (2012)
Annales de l'I.H.P. Probabilités et statistiques
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There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar–Parisi–Zhang (KPZ) universality class. A proper rescaling of time should introduce a non-trivial temporal dimension to these limiting fluctuations. In one-dimension, the KPZ class has the dynamical scaling exponent = 3/2, that means one should find a universal space–time limiting process under the scaling of time as , space like 2/3 and fluctuations like 1/3 as → ∞. In this paper...
Nabil Rachdi, Jean-Claude Fort, Thierry Klein (2013)
ESAIM: Probability and Statistics
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In this paper, we consider a new framework where two types of data are available: experimental data supposed to be i.i.d from and outputs from a simulated reduced model. We develop a procedure for parameter estimation to characterize a feature of the phenomenon . We prove a risk bound qualifying the proposed procedure in terms of the number of experimental data , reduced model complexity...
Bangti Jin, Peter Maass (2012)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper analyzes the continuum model/complete electrode model in the electrical impedance tomography inverse problem of determining the conductivity parameter from boundary measurements. The continuity and differentiability of the forward operator with respect to the conductivity parameter in -norms are proved. These analytical results are applied to several popular regularization formulations, which incorporate information of smoothness/sparsity on the inhomogeneity...
Tze Leng Lai, Qi-Man Shao, Qiying Wang (2011)
ESAIM: Probability and Statistics
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Let be a Studentized U-statistic. It is proved that a Cramér type moderate deviation ( ≥ )/(1 − Φ()) → 1 holds uniformly in ∈ [0, ( )) when the kernel satisfies some regular conditions.
Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider linear elliptic systems which arise in coupled elastic continuum mechanical models. In these systems, the strain tensor := sym ( ∇) is redefined to include a matrix valued inhomogeneity () which cannot be described by a space dependent fourth order elasticity tensor. Such systems arise naturally in geometrically exact plasticity or in problems with eigenstresses. The tensor field induces a structural change of the elasticity equations. For...
Axel Klawonn, Patrizio Neff, Oliver Rheinbach, Stefanie Vanis (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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We consider linear elliptic systems which arise in coupled elastic continuum mechanical models. In these systems, the strain tensor := sym ( ∇) is redefined to include a matrix valued inhomogeneity () which cannot be described by a space dependent fourth order elasticity tensor. Such systems arise naturally in geometrically exact plasticity or in problems with eigenstresses. The tensor field induces a structural change of the elasticity equations. For such...
Jérôme Dedecker, Adeline Samson, Marie-Luce Taupin (2014)
ESAIM: Probability and Statistics
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Consider an autoregressive model with measurement error: we observe = + , where the unobserved is a stationary solution of the autoregressive equation = ( ) + . The regression function is known up to a finite dimensional parameter to be estimated. The distributions of and are unknown and...
Maria Serna, Fatos Xhafa (2010)
RAIRO - Theoretical Informatics and Applications
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We show that some classical P-complete problems can be solved efficiently in NC. The probabilistic model we consider is the sample space of input descriptions of the problem with the underlying distribution being the uniform one. We present parallel algorithms that use a polynomial number of processors and have expected time upper bounded by ( ln 4 + (1))log , asymptotically with high probability, where is the instance size.