Displaying similar documents to “Risk bounds for mixture density estimation”

Moderate Deviations for I.I.D. Random Variables

Peter Eichelsbacher, Matthias Löwe (2010)

ESAIM: Probability and Statistics

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We derive necessary and sufficient conditions for a sum of i.i.d. random variables ∑ i = 1 n X i / b n – where b n n ↓ 0 , but b n n ↑ ∞ – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.

Impact of the variations of the mixing length in a first order turbulent closure system

Françoise Brossier, Roger Lewandowski (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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This paper is devoted to the study of a turbulent circulation model. Equations are derived from the “Navier-Stokes turbulent kinetic energy” system. Some simplifications are performed but attention is focused on non linearities linked to turbulent eddy viscosity  ν t . The mixing length ℓ acts as a parameter which controls the turbulent part in ν t . The main theoretical results that we have obtained concern the uniqueness of the solution for bounded eddy viscosities and small values of ℓ ...