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Displaying similar documents to “Measure concentration for compound Poisson distributions.”

Limit laws for transient random walks in random environment on ℤ

Nathanaël Enriquez, Christophe Sabot, Olivier Zindy (2009)

Annales de l’institut Fourier

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We consider transient random walks in random environment on ℤ with zero asymptotic speed. A classical result of Kesten, Kozlov and Spitzer says that the hitting time of the level n converges in law, after a proper normalization, towards a positive stable law, but they do not obtain a description of its parameter. A different proof of this result is presented, that leads to a complete characterization of this stable law. The case of Dirichlet environment turns out to be remarkably explicit. ...

On the Newcomb-Benford law in models of statistical data.

Tomás Hobza, Igor Vajda (2001)

Revista Matemática Complutense

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We consider positive real valued random data X with the decadic representation X = Σ D 10 and the first significant digit D = D(X) in {1,2,...,9} of X defined by the condition D = D ≥ 1, D = D = ... = 0. The data X are said to satisfy the Newcomb-Benford law if P{D=d} = log(d+1 / d) for all d in {1,2,...,9}. This law holds for example for the data with logX uniformly distributed on an interval (m,n) where m and n are integers. We show that if logX has a distribution...