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On uniqueness of the Euler limit of one-component lattice gas models
the Euler limit one-component lattice gas models
2009/6/12
On uniqueness of the Euler limit of one-component lattice gas models.
Euler's formulae for ζ（2n） and products of Cauchy variables
Euler's formula Cauchy variables
2009/3/23
We show how to recover Euler's formula for ζ(2n), as well as Lχ4(2n+1), for any integer n, from the knowledge of the density of the product of independent standard Cauchy variables.
Sharp estimates for the convergence of the density of the Euler scheme in small time
Sharp estimates Euler scheme marginal laws
2009/3/20
In this work, we approximate a diffusion process by its Euler scheme and we study the convergence of the density of the marginal laws. We improve previous estimates especially for small time.
About one problem of Bernoulli and Euler from the theory of statistical estimation
Asymptotic normality sample mean Bernoulli’s estimator Euler’s estimator maximum likelihood unbiased estimator
2009/2/23
We consider some results by D. Bernoulli and L. Euler on the method of maximum likelihood in
parametric estimation. The statistical analysis is made by considering a parametric family with a shift pa...