On the reduction of a random basis

Ali Akhavi; Jean-François Marckert; Alain Rouault

Displaying similar documents to “On the reduction of a random basis”

On the Brunk-Chung type strong law of large numbers for sequences of blockwise -dependent random variables

Le Van Thanh (2006)

ESAIM: Probability and Statistics

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For a sequence of blockwise -dependent random variables {≥ 1}, conditions are provided under which ${lim}_{n \to \infty} (\sum_{i = 1}^{n} X_{i}) / b_{n} = 0$ 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. ...

Strong approximation for set-indexed partial sum processes via KMT constructions III

Rio Emmanuel (1997)

ESAIM: Probability and Statistics

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Bosetto, Elena (1999)

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Nadarajah, Saralees, Gupta, Arjun K. (2005)

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The integral limit theorem in the first passage problem for sums of independent nonnegative lattice variables.

Virchenko, Yuri P., Yastrubenko, M.I. (2006)

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De Finetti's-type results for some families of non identically distributed random variables.

Ibarrola, Ricardo Vélez, Prieto-Rumeau, Tomás (2009)

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Generating random elements in finite groups.

Dixon, John D. (2008)

The Electronic Journal of Combinatorics [electronic only]

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An Algorithm for Generating Random Numbers With Binomial Distribution

Dorin Bocu (2000)

The Yugoslav Journal of Operations Research

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Transient random walk in $ℤ^{2}$ with stationary orientations

Françoise Pène (2009)

ESAIM: Probability and Statistics

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In this paper, we extend a result of Campanino and Pétritis [ (2003) 391–412]. We study a random walk in $ℤ^{2}$ with random orientations. We suppose that the orientation of the th floor is given by $ξ_{k}$ , where ${(ξ_{k})}_{k \in ℤ}$ is a stationary sequence of random variables. Once the environment fixed, the random walk can go either up or down or can stay in the present floor (but moving with respect to its orientation). This model was introduced by Campanino and Pétritis in [ (2003) 391–412] when the ${(ξ_{k})}_{k \in ℤ}$ is...

On pairs of independent random variables whose quotients follow some known distribution

I. Kotlarski (1962)

Colloquium Mathematicae

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On some limit distributions for geometric random sums

Marek T. Malinowski (2008)

Discussiones Mathematicae Probability and Statistics

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We define and give the various characterizations of a new subclass of geometrically infinitely divisible random variables. This subclass, called geometrically semistable, is given as the set of all these random variables which are the limits in distribution of geometric, weighted and shifted random sums. Introduced class is the extension of, considered until now, classes of geometrically stable [5] and geometrically strictly semistable random variables [10]. All the results can be straightforward...