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Introduction 1 1. Definition and estimation of Sobol indices 2 1.1. Exact model 2 1.2. Estimation of S 3 2. Asymptotic properties: exact model 4 2.1. Consistency and asymptotic normality 4 2.2. Asymptotic efficiency 6 3. Asymptotic properties: metamodel 8 3.1. Metamodel-based estimation 8 3.2. Consistency and asymptotic normality 8 3.3. Asymptotic… (More)

Given (Mt)t∈R+ and (M ∗ t )t∈R+ respectively a forward and a backward martingale with jumps and continuous parts, we prove that E[φ(Mt + M ∗ t )] is nonincreasing in t when φ is a convex function, provided the local characteristics of (Mt)t∈R+ and (M ∗ t )t∈R+ satisfy some comparison inequalities. We deduce convex concentration inequalities and deviation… (More)

- Jean-Claude Fort, Thierry Klein, Nabil Rachdi
- 2013

In a model of the form Y = h(X1, . . . , Xd) where the goal is to estimate a parameter of the probability distribution of Y , we define new sensitivity indices which quantify the importance of each variable Xi with respect to this parameter of interest. The aim of this paper is to define goal oriented sensitivity indices and we will show that Sobol indices… (More)

- Z. Pribulova, Thierry Klein, +5 authors P. C. Canfield
- 2017

We define a notion of barycenter for random probability measures in the Wasserstein space. We study the population barycenter in terms of existence and uniqueness. Using a duality argument, we give a precise characterization of the population barycenter for compactly supported measures, and we make a connection between averaging in the Wasserstein space and… (More)

- Georg Hampel, Anil Rana, Thierry Klein
- MOBIWAC
- 2013

We present a TCP mobility solution for the mobile Internet which enables seamless session end-point migration across multi-provider network environments. The solution can be applied by mobile devices to conduct energy-efficient network selection and dynamic spectrum sharing or by data centers to facilitate service migration across IP domains. We leverage… (More)

- T. Klein, P. Achatz, +10 authors Bo E. Sernelius
- 2009

T. Klein, P. Achatz, J. Kacmarcik, C. Marcenat, F. Gustafsson, J. Marcus, E. Bustarret, J. Pernot, F. Omnes, Bo Sernelius, C. Persson, A. Ferreira da Silva and C. Cytermann, Metalinsulator transition and superconductivity in boron-doped diamond, 2007, Physical Review B. Condensed Matter and Materials Physics, (75), 165313.… (More)

- Xavier Blase, Etienne Bustarret, Claude Chapelier, Thierry Klein, Christophe Marcenat
- Nature materials
- 2009

Despite the amount of experimental and theoretical work on doping-induced superconductivity in covalent semiconductors based on group IV elements over the past four years, many open questions and puzzling results remain to be clarified. The nature of the coupling (whether mediated by electronic correlation, phonons or both), the relationship between the… (More)

- L. Lyard, P. Samuely, +16 authors W. K. Kwok
- 2017

- MinJi Kim, Thierry Klein, Emina Soljanin, João Barros, Muriel Médard
- MONET
- 2014

We analyze the performance of TCP and TCP with network coding (TCP/NC) in lossy networks. We build upon the framework introduced by Padhye et al. and characterize the throughput behavior of classical TCP and TCP/NC as a function of erasure probability, round-trip time, maximum window size, and duration of the connection. Our analytical results show that… (More)