On the -convergence for multidimensional arrays of random variables.
On the strong law of large numbers for -dimensional arrays of random variables.
Mean convergence theorem for multidimensional arrays of random elements in Banach spaces.
Quelques remarques sur le spectre de singularite d'un germe de courbe plane
Le lemme fondamental de Nilsson dans le cas analytique local
On donne des évaluations précises de la croissance modérée des intégrales de fonctions de classe de Nilsson locale dans , exprimées par des caractéristiques topologiques des courbes de ramification des intégrands.
On the Brunk-Chung type strong law of large numbers for sequences of blockwise -dependent random variables
For a sequence of blockwise -dependent random variables {≥ 1}, conditions are provided under which almost surely where {≥ 1} is a sequence of positive constants. The results are new even when . As special case, the Brunk-Chung strong law of large numbers is obtained for sequences of independent random variables. The current work also extends results of Móricz [ (1987) 709–715], and Gaposhkin [. (1994) 804–812]. The sharpness of the results is illustrated by examples.
On irregular links at infinity of algebraic plane curves.
On the negative dependence in Hilbert spaces with applications
This paper introduces the notion of pairwise and coordinatewise negative dependence for random vectors in Hilbert spaces. Besides giving some classical inequalities, almost sure convergence and complete convergence theorems are established. Some limit theorems are extended to pairwise and coordinatewise negatively dependent random vectors taking values in Hilbert spaces. An illustrative example is also provided.
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