Displaying similar documents to “Evaluation of a multiple integral of Tefera via properties of the exponential distribution.”

Cyclic random motions in ℝ d -space with directions

Aimé Lachal (2006)

ESAIM: Probability and Statistics

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We study the probability distribution of the location of a particle performing a cyclic random motion in ℝ d . The particle can take possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time ). The distribution of the location of the particle is made up of two components: a singular component (corresponding...

Some alternating sums of Lucas numbers

Zvonko Čerin (2005)

Open Mathematics

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We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.

Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation

Guillaume Legendre, Takéo Takahashi (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.

Random thresholds for linear model selection

Marc Lavielle, Carenne Ludeña (2008)

ESAIM: Probability and Statistics

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A method is introduced to select the significant or non null mean terms among a collection of independent random variables. As an application we consider the problem of recovering the significant coefficients in non ordered model selection. The method is based on a convenient random centering of the partial sums of the ordered observations. Based on -statistics methods we show consistency of the proposed estimator. An extension to unknown parametric distributions is considered. ...