Laws of large numbers for functions of random walks with positive drift
A. J. Stam (1968)
Compositio Mathematica
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Displaying similar documents to “A limit law for random walk in a random environment”
Laws of large numbers for functions of random walks with positive drift
Limit laws of transient excited random walks on integers
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...
An inequality for uncorrelated random variables
Alfréd Rényi, E. Zergényi (1956)
Czechoslovak Mathematical Journal
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The renewal theorem for random walk in two-dimensional time
P. Ney, S. Wainger (1972)
Studia Mathematica
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Sums of independent Banach space valued random variables
Jørgen Hoffmann-Jørgensen (1974)
Studia Mathematica
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Some Theoretical Results on the Progeny of a Bisexual Galton-Watson Branching Process
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.