On sums of i.i.d. random variables indexed by N parameters
Davar Khoshnevisan (2000)
Séminaire de probabilités de Strasbourg
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Davar Khoshnevisan (2000)
Séminaire de probabilités de Strasbourg
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Nassif Ghoussoub, Michel Talagrand (1977)
Séminaire Choquet. Initiation à l'analyse
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Annie Millet (1983)
Annales de l'I.H.P. Probabilités et statistiques
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Yuri Kabanov, Christophe Stricker (2001)
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Annie Millet, Louis Sucheston (1983)
Annales de l'I.H.P. Probabilités et statistiques
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Gerold Alsmeyer (1994)
Studia Mathematica
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Let be a zero-mean martingale with canonical filtration and stochastically -bounded increments which means that a.s. for all n ≥ 1, t > 0 and some square-integrable distribution H on [0,∞). Let . It is the main result of this paper that each such martingale is a.s. convergent on V < ∞ and recurrent on V = ∞, i.e. for some c > 0. This generalizes a recent result by Durrett, Kesten and Lawler [4] who consider the case of only finitely many square-integrable increment...
Jones, Martin L. (1993)
International Journal of Mathematics and Mathematical Sciences
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