Laws of large numbers for functions of random walks with positive drift
A. J. Stam (1968)
Compositio Mathematica
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A. J. Stam (1968)
Compositio Mathematica
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Elena Kosygina, Thomas Mountford (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We consider excited random walks (ERWs) on ℤ with a bounded number of i.i.d. cookies per site without the non-negativity assumption on the drifts induced by the cookies. Kosygina and Zerner [15] have shown that when the total expected drift per site, , is larger than 1 then ERW is transient to the right and, moreover, for >4 under the averaged measure it obeys the Central Limit Theorem. We show that when ∈(2, 4] the limiting behavior of an appropriately centered and scaled excited...
Alfréd Rényi, E. Zergényi (1956)
Czechoslovak Mathematical Journal
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P. Ney, S. Wainger (1972)
Studia Mathematica
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Jørgen Hoffmann-Jørgensen (1974)
Studia Mathematica
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González, M., Molina, M. (1997)
Serdica Mathematical Journal
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A Superadditive Bisexual Galton-Watson Branching Process is considered and the total number of mating units, females and males, until the n-th generation, are studied. In particular some results about the stochastic monotony, probability generating functions and moments are obtained. Finally, the limit behaviour of those variables suitably normed is investigated.
Jérôme Dedecker, Emmanuel Rio (2008)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we give estimates of the minimal distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.