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 → ∞ ( ∑ 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. ...

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 ∈ 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 ∈ ℤ is...