Convergence of -series revisited with applications.
Abalo, Elom K., Abalo, Kokou Y. (2006)
International Journal of Mathematics and Mathematical Sciences
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Abalo, Elom K., Abalo, Kokou Y. (2006)
International Journal of Mathematics and Mathematical Sciences
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Journal of Integer Sequences [electronic only]
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Experimental Mathematics
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M. D. Benchiboun (1991)
Applicationes Mathematicae
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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).