Strong stability of weighted sums of NA random variables.
Gan, Shixin (2005)
International Journal of Mathematics and Mathematical Sciences
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Gan, Shixin (2005)
International Journal of Mathematics and Mathematical Sciences
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Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)
Journal of Inequalities and Applications [electronic only]
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Nam, Eunwoo (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Zhou, Xing-Cai, Lin, Jin-Guan (2010)
Journal of Inequalities and Applications [electronic only]
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Amini, D. M., Bozorgnia, A. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [electronic only]
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Jonathon Peterson (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a nearest-neighbor, one-dimensional random walk { } in a random i.i.d. environment, in the regime where the walk is transient with speed >0 and there exists an ∈(1, 2) such that the annealed law of ( − ) converges to a stable law of parameter . Under the quenched law (i.e., conditioned on the environment), we show that no limit laws are possible. In particular we show that there exist sequences...
Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Le Van Thanh (2007)
Electronic Communications in Probability [electronic only]
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Adler, André (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Zhou, Xing-Cai, Tan, Chang-Chun, Lin, Jin-Guan (2011)
Journal of Inequalities and Applications [electronic only]
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