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作者：De Jeu, M
作者单位：Leiden University; Leiden University - Excl LUMC
摘要：We prove in a direct fashion that a multidimensional probability measure mu is determinate if the higher-dimensional analogue of Carleman's condition is satisfied. In that case, the polynomials, as well as certain proper subspaces of the trigonometric functions, are dense in all associated L-p-spaces for 1 less than or equal to p < infinity. In particular these three statements hold if the reciprocal of a quasi-analytic weight has finite integral under mu. We give practical examples of such we...
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作者：Limic, V
作者单位：University of British Columbia
摘要：Using martingale techniques and comparison with the generalized Urn scheme, it is shown that the edge reinforced random walk on a graph of bounded degree, with the weight function W(k) = k(rho), rho > 1, traverses (crosses) a random attracting edge at all large times. If the graph is a triangle, the above result is in agreement with a conjecture of Sellke.
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作者：Giné, E; Mason, DM; Zaitsev, AY
作者单位：University of Connecticut; University of Delaware; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
摘要：The notion of an L-1-norm density estimator process indexed by a class of kernels is introduced. Then a functional central limit theorem and a Glivenko-Cantelli theorem are established for this process. While assembling the necessary machinery to prove these results, a body of Poissonization techniques and restricted chaining methods is developed, which is useful for studying weak convergence of general processes indexed by a class of functions. None of the theorems imposes any condition at al...
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作者：Jacod, J; Jakubowski, A; Mémin, J
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite; Sorbonne Universite; Nicolaus Copernicus University; Universite de Rennes
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作者：Jajte, R
作者单位：University of Lodz
