What random variable generates a bounded potential?
Kartashov, N., Mishura, Yu. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Kartashov, N., Mishura, Yu. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Wang, Qiying (2005)
Electronic Journal of Probability [electronic only]
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Eichelsbacher, Peter, König, Wolfgang (2008)
Electronic Journal of Probability [electronic only]
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Andrzej Krajka, Zdzisław Rychlik (1993)
Commentationes Mathematicae Universitatis Carolinae
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Let be a sequence of independent random variables such that , , . Let be a sequence od positive integer-valued random variables. Let us put , , , . In this paper we present necessary and sufficient conditions for weak convergence of the sequence , as . The obtained theorems extend the main result of M. Finkelstein and H.G. Tucker (1989).
Li, Deli, Rosalsky, Andrew (2004)
International Journal of Mathematics and Mathematical Sciences
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Davar Khoshnevisan (1995)
Séminaire de probabilités de Strasbourg
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Xinxing Chen, Jiangang Ying (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Shao, Qi-Man, Su, Chun, Wei, Gang (2004)
Electronic Journal of Probability [electronic only]
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