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1.
Summary In this paper we characterize the, what we call, visible projection of a point process on an arbitrary space as a Radon-Nikodym-derivative in the same manner the dual previsible projection of a process on + is defined by Dellacherie and Meyer [1]; this visible projection turns out to coïncide with the conditional intensity as defined by Papangelou [3]; a neat behaviour is imposed to the point process by only one intuïtively clear condition, which is proved to be equivalent to the classical smoothnessconditions () and (*).

Ces recherches ont été subventionées par l'Organisation Néerlandaise pour le Développement de la Recherche Scientifique (Z.W.O.; n de bourse 62–138) et partiellement par le Centre National de la Recherche Scientifique  相似文献   

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A new proof and extension of the Slepian-Gordon inequality is given.   相似文献   

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Sans résuméMembre du Laboratoire de Probabilités associé au C.N.R.S. (L.A. 224)  相似文献   

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LetS φ be the skew product transformation(x, g)↦(Sx, gφ(x)) defined on Ω×G, where Ω is a compact metric space,G a compact metric group with its Haar measureh. IfS is a μ-continuous transformation where μ is a Borel measure on Ω, ergodic with respect toS, we study the setE 0 of μ-continuous applications φ:Ω→G such that μ⩀h is ergodic (with respect toS φ). For example,E 0 is residual in the group of μ-continuous applications from Ω toG with the uniform convergence topology. We also study the weakly mixing case. Some arithmetic applications are given.  相似文献   

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The problem considered is a problem parameter estimation of a 2d-dimensional parameter of a Poisson process. The intensity function of the process is a smooth function with respect to first d variables and is discontinuous function of d other variables. We show the consistency and asymptotic normality of the minimum distance estimator. To cite this article: A.S. Dabye, C. R. Acad. Sci. Paris, Ser. I 342 (2006).  相似文献   

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We give new constants in Talagrand's concentration inequality for maxima of empirical processes. Our approach is based on the Herbst method. The improvement we get concerns the constant in the variance factor, which is the one conjectured by Massart.  相似文献   

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We give a formula for the distribution of the supremum on an interval of a random process with a real parameter. Our method is based on the number of crossings of a level. Two procedures are described: 1) for processes having C paths; 2) for processes having only continuous paths. The example of stationary Gaussian processes is considered.  相似文献   

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Let A > 0 be an integer. The equation x5y5 = Az5 wasfirst studied by Dirichlet and Lebesgue. Lebesgue conjecturedin 1843 that if A has no prime divisors of the form 10k+1, theequation has no solutions except the visible ones. Partial resultswere obtained by Lebesgue and by Terjanian in 1987. The purposeof the paper is to prove Lebesgue's conjecture. The main toolused is the method known as the elliptic Chabauty method.  相似文献   

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Sans résuméLaboratoire associé au C.N.R.S. n 224  相似文献   

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We unify, under a one parameter family, the most common estimators of the mean and the variance of the offspring distribution for a supercritical one-type branching process. We give the rate for the almost-sure convergence, and the asymptotic normality for each one of these estimators. We select, within this family, the “best” estimators for the mean, the variance, and the pair (mean, variance). The asymptotic independence for the standardized estimation errors is also established. To cite this article: K. Hamza, F. Maâouia, C. R. Acad. Sci. Paris, Ser. I 347 (2009).  相似文献   

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