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Jacques Demongeot Ali Laksaci Fethi Madani Mustapha Rachdi 《Comptes Rendus Mathematique》2010,348(15-16):931-934
In this Note, we introduce the local linear estimation of the conditional density of a scalar response variable given a random variable taking values in a semi-metric space. Under some general conditions, we establish the pointwise and uniform almost complete convergences with rates of this estimator. Moreover, as an application, we use the obtained results to derive some asymptotic properties for the local linear estimator of the conditional mode. 相似文献
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Jean-Paul Bézivin 《Mathematische Zeitschrift》2004,246(1-2):273-289
Let R be a rational function, of degree 2, with complex coefficients. Then the Julia set of R is a closed subset of 1(), and therefore compact. If one replace by the field
p
(completion of an algebraic closure of the field
p
of the p-adic numbers), then one can define also a Julia set for a rational function with p-adic coefficients. But as
p
is not locally compact, the Julia set may or may not be compact. In this paper, we study the compactness of the Julia set of p-adic polynomials.
Mathematics Subject Classification (2000):11S99, 37B99. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(5):569-572
We establish pointwise and uniform large deviations principles for nonparametric kernel density estimators. The estimates are based on sequences of independent and identically distributed real random variables. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1997,324(6):731-736
We prove the density of regular fielclx in the space of square-integrahle fields with square-integrable curls and square-integrable tangential traces on the boundary. This space is involved in one of the variational formulations of the electmmagnetism equations. 相似文献
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Nous estimons la dépendance en la fonction harmonique des fonctionnelles densité de l'intégrale d'aire. Nous obtenons notamment un contrôle en norme de sup
aR
D
u(,a)–D
v(,a) ainsi qu'une inégalité aux bons- de type exponentielle. 相似文献
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Armel Fabrice Yode 《Comptes Rendus Mathematique》2005,340(8):623-626
We consider the nonparametric problem of multidimensional probability density estimate. Using concept of minimax risk with random normalizing factor introduced by Lepski [Math. Methods Statist. 8 (1999) 441–486], by considering an independence hypothesis, we build an estimator which can be adaptive and whose accuracy, depending on the observation, is better than the minimax estimate, , with prescribed confidence level. To cite this article: A.F. Yode, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(8):659-662
We show that the local bounds on the density, obtained in a previous work by the author, for the solutions of compressible, isentropic Navier-Stokes equations with Dirichlet boundary conditions hold in fact up to the boundary. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(11):1085-1088
We establish the convergence in probability and the asymptotic normality of the kernel polynomial estimators of the density function and its derivatives when the observed process is strictly stationary and strong mixing. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》2001,332(8):761-764
In this Note we obtain a central limit theorem for standard kernel invariant density estimates of one-dimensional dynamical systems. The two main steps in the proof of this theorem are the following: the study of speed of convergence for the variance of the estimator and then a variation on the Lindeberg–Rio method [6]. 相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(12):1129-1132
Let Γ = G ⋉r N be the semi-direct product of two locally compact groups, and A a Y-algebra. We build a map from topological K-theory of Γ with coefficients in A to the one for G with coefficients in N ⋉r A. For Γ a p-adic group equipped with a γ element and N an amenable group, we prove that Γ satisfies Baum-Connes conjecture with coefficients when G does. 相似文献